PDS_VERSION_ID                  = PDS3
LABEL_REVISION_NOTE             = "V1.0"
RELEASE_ID                      = 0001
REVISION_ID                     = 0000

/* FILE FORMAT */
RECORD_TYPE                     = FIXED_LENGTH
RECORD_BYTES                    = 12
FILE_RECORDS                    = 131364
LABEL_RECORDS                   = 292
/* POINTER TO DATA OBJECT */
^SERIES                         = 293

/* GENERAL DATA DESCRIPTION PARAMETERS */
FILE_NAME                       = "CS_3C2_20020617T055828_SP_N.TAB"
DATA_SET_ID                     = "RO-CAL-COSIMA-2-V1.0"
DATA_SET_NAME                   = "ROSETTA-ORBITER CAL COSIMA 2 V1.0"
PRODUCT_ID                      = "CS_3C2_20020617T055828_SP_N"
PRODUCT_CREATION_TIME           = 2006-10-09T22:44:41
PRODUCT_TYPE                    = "REFDR"
PROCESSING_LEVEL_ID             = 2
MISSION_ID                      = "ROSETTA"
MISSION_NAME                    = "INTERNATIONAL ROSETTA MISSION"
MISSION_PHASE_NAME              = "GROUND"
INSTRUMENT_HOST_ID              = "RO"
INSTRUMENT_HOST_NAME            = "ROSETTA-ORBITER"
INSTRUMENT_ID                   = "COSIMA"
INSTRUMENT_NAME                 = "COMETARY SECONDARY ION MASS ANALYZER"
INSTRUMENT_TYPE                 = "MASS SPECTROMETER"
INSTRUMENT_MODE_ID              = "SPECTRUM"
INSTRUMENT_MODE_DESC            = "TIME OF FLIGHT MASS SPECTRUM MEASUREMENT"
TARGET_NAME                     = "CALIBRATION"
TARGET_TYPE                     = "CALIBRATION"
START_TIME                      = 2002-06-17T05:58:28
STOP_TIME                       = 2002-06-17T06:01:14
SPACECRAFT_CLOCK_START_COUNT    = "               N/A"
SPACECRAFT_CLOCK_STOP_COUNT     = "               N/A"
SC_SUN_POSITION_VECTOR          = "N/A"
SC_TARGET_POSITION_VECTOR       = "N/A"
SC_TARGET_VELOCITY_VECTOR       = "N/A"
SPACECRAFT_ALTITUDE             = "N/A"
SUB_SPACECRAFT_LATITUDE         = "N/A"
SUB_SPACECRAFT_LONGITUDE        = "N/A"
PRODUCER_ID                     = "FMI"
PRODUCER_FULL_NAME              = "JOHAN SILEN"
PRODUCER_INSTITUTION_NAME       = "FINNISH METEOROLOGICAL INSTITUTE"
DATA_QUALITY_ID                 = -1
DATA_QUALITY_DESC               = "-1 = not checked"
ROSETTA:COSIMA_SUBSTRATE_ID     = "3C2"
ROSETTA:COSIMA_SUBSTRATE_DESC   = "Gold, 17 micrometer thickness,
                                   olivine particles"
ROSETTA:COSIMA_SUBSTRATE_X      = 5200
ROSETTA:COSIMA_SUBSTRATE_Y      = 5300
ROSETTA:COSIMA_SPECTRUM_POL     = "NEGATIVE"
ROSETTA:COSIMA_SPECTRUM_SHOTS   = 70000

OBJECT                          = SERIES
  NAME                          = MASS_SPECTRUM
  INTERCHANGE_FORMAT            = ASCII
  ROWS                          = 131072
  COLUMNS                       = 1
  ROW_BYTES                     = 10
  ROW_SUFFIX_BYTES              = 2
  SAMPLING_PARAMETER_NAME       = TIME
  SAMPLING_PARAMETER_UNIT       = SECOND
  SAMPLING_PARAMETER_INTERVAL   = 0.000000001953125
  DESCRIPTION                   = "COSIMA TIME OF FLIGTH MASS SPECTRUM"
  
  OBJECT                        = COLUMN
    NAME                        = MASS_COUNT
    DATA_TYPE                   = ASCII_INTEGER
    START_BYTE                  = 1
    BYTES                       = 10
    MISSING_CONSTANT            = -1
    FORMAT                      = I10
    DESCRIPTION                 = "EVENT COUNT AT THE TIME BIN"
  END_OBJECT                    = COLUMN
END_OBJECT                      = SERIES

END   
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         3
         9
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
     69998
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         6
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         8
         2
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
     69725
       272
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
        11
     69984
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
     69996
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         1
         1
         0
         3
         3
         0
         0
         0
         2
         1
         1
         1
         0
         2
         4
         0
         1
         6
         2
         2
         3
         2
         3
         4
         6
         4
         6
         9
         5
         2
         5
         4
         4
         4
         4
         3
         5
         2
         4
         3
         3
         4
         1
         3
         0
         1
         2
         3
         1
         1
         1
         3
         3
         2
         0
         2
         2
         3
         1
         1
         2
         1
         2
         2
         0
         1
         0
         3
         1
         1
         1
         0
         4
         0
         3
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         2
         1
         1
         1
         0
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         2
         4
         0
         1
         0
         1
         1
         3
         0
         2
         2
         6
         3
         5
         5
         3
         3
         6
         4
         7
         6
         6
         5
         6
         4
         7
        10
         5
         6
         6
        14
        11
         9
         8
         7
         8
        15
         7
         8
         6
         7
         5
         3
         2
         4
         7
         4
         6
         4
         4
         8
         7
         7
         3
         2
        12
         6
         5
         6
         7
         5
         6
         9
         9
         4
         7
         7
         3
         5
         7
         4
         5
         0
         1
         3
         4
         6
         1
         7
         5
         3
         6
         4
         1
         6
         1
         3
         4
         1
         1
         1
         1
         0
         3
         1
         7
         1
         3
         3
         2
         2
         2
         1
         1
         2
         1
         1
         0
         1
         1
         2
         1
         2
         1
         1
         1
         1
         1
         0
         1
         2
         3
         2
         1
         1
         0
         2
         1
         2
         2
         0
         1
         1
         0
         2
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         2
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         3
         1
         1
        94
       477
       731
       542
       486
       464
       578
       637
       699
       756
       759
       819
       853
       844
       919
      1017
      1013
      1031
      1189
      1338
      1401
      1509
      1609
      1594
      1729
      1696
      4393
      8856
      4850
      2155
      2268
      8692
      9685
      3207
      2141
      1858
       780
       719
       667
       568
       496
       509
       417
       437
       469
       596
       777
      1077
      1297
      1275
      1437
      1463
        69
       990
      1100
      1438
      1433
      1509
      1498
      1270
      1421
      1629
      1831
      2122
      1812
      1588
      1475
      1520
       399
      1650
      1630
      1347
      1209
      1176
      1279
      1190
      1316
      1310
      1151
      1152
      1132
      1130
      1159
      1213
       505
      1017
      1034
       986
       956
       927
      1050
      1018
       906
       994
       885
       892
       959
       956
       998
      1078
       547
       799
       745
       828
       936
       868
       804
       764
       720
       725
       706
       695
       774
       682
       645
       676
       440
       638
       613
       614
       615
       540
       534
       567
       543
       523
       603
       464
       531
      1061
       419
       490
       594
       457
       509
       418
       428
       352
       394
       433
       393
       413
       357
       311
       346
       320
       332
       387
       296
       286
       341
       270
       327
       326
       337
       255
       290
       302
       235
       255
       241
       262
       280
       229
       212
       227
       223
       215
       214
       182
       215
       229
       210
       193
       201
       176
       204
       190
       156
       157
       154
       165
       178
       184
       141
       165
       141
       144
       148
       153
       139
       132
       108
       124
       136
       113
        99
       141
       121
       120
       118
       105
       135
        96
       110
       115
       108
        98
        79
        97
       102
        98
        76
       122
        91
        86
        82
        81
        94
        71
        76
        99
        66
        77
        78
        63
        48
        73
        66
        53
        59
        49
        71
        59
        55
        69
        52
        44
        54
        58
        44
        41
        56
        57
        68
        46
        62
        41
        40
        33
        37
        40
        37
        39
        39
        39
        25
        35
        29
        41
        42
        40
        29
        34
        37
        29
        23
        29
        24
        37
        24
        22
        24
        28
        20
        25
        24
        36
        31
        18
        23
        21
        23
        17
        21
        26
        19
        16
        25
        19
        14
        16
        20
        12
        23
        20
        18
        14
        16
        10
        19
        18
        14
        18
        12
        14
         9
         6
        10
        16
        15
        15
         9
        10
        12
        10
         9
        15
        14
        10
        19
         9
         7
        16
        14
         9
        12
         8
        10
         7
        10
         9
         8
         7
         9
         6
        11
         6
        11
        10
        11
         3
         8
         8
         6
        10
         6
         9
        11
         7
        12
         4
         8
         7
         5
         6
         5
         7
         7
         4
         4
         8
         4
         6
         3
         3
         9
         3
         2
         4
        10
         8
        10
         6
         7
        10
         2
         5
         6
         5
         6
         3
         5
         5
         5
         7
         3
         7
         3
        10
         6
         5
         2
         0
         4
         6
         8
         3
         8
        12
         5
        11
         4
         5
         8
        11
        13
         9
        11
        13
        12
         8
         9
        13
         7
         8
         8
         7
         7
        10
         3
         3
         5
         8
         6
         2
         8
         3
         5
         4
         6
         2
         5
         6
         5
         6
         5
         2
         3
         7
         6
        10
         1
         2
         2
         3
         8
         3
         6
         3
         4
         4
         2
         2
         4
         1
         5
         4
         1
         3
         3
         6
         1
         0
         2
         2
         1
         2
         1
         0
         3
         2
         0
         2
         2
         1
         1
         1
         2
         3
         0
         3
         4
         1
         2
         3
         0
         5
         0
         1
         1
         0
         0
         0
         5
         0
         1
         1
         3
         2
         5
         2
         0
         1
         0
         2
         4
         0
         5
         0
         0
         2
         4
         1
         2
         2
         2
         1
         0
         2
         2
         1
         2
         1
         3
         2
         2
         1
         2
         0
         0
         2
         2
         1
         3
         1
         1
         6
         0
         1
         0
         0
         0
         2
         3
         3
         3
         1
         1
         1
         0
         1
         3
         5
         1
         1
         2
         1
         0
         0
         2
         2
         2
         3
         0
         0
         3
         0
         0
         2
         0
         0
         0
         1
         0
         2
         1
         1
         2
         0
         1
         0
         2
         1
         1
         2
         0
         0
         2
         4
         0
         2
         0
         1
         0
         0
         4
         2
         1
         2
         2
         2
         1
         1
         0
         0
         2
         1
         1
         3
         2
         2
         2
         0
         2
         1
         0
         1
         1
         2
         1
         2
         1
         1
         1
         3
         1
         0
         3
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         4
         1
         2
         1
         1
         0
         0
         0
         0
         1
         0
         1
         4
         3
         3
         0
         3
         0
         3
         2
         5
         2
         1
         1
         4
         0
         2
         2
         4
         9
         9
        10
        10
        15
        13
        17
        30
        34
        40
        80
       138
       168
        95
        43
        18
        24
        37
        26
        29
        25
        21
        16
        20
        16
        16
        10
        13
        23
        11
        15
        13
        13
         8
        12
        19
        16
         9
        12
         8
        11
        17
         7
        13
         7
         9
        11
         8
        13
         7
         5
         7
         6
         9
         6
         9
         2
         5
         6
         2
         7
         9
         8
        10
         6
         3
         5
         7
         4
         3
         5
         4
         6
         6
         2
         7
         5
         6
         5
         2
         3
         8
         1
         4
         5
         5
         2
         4
         2
         3
         3
         0
         2
         6
         0
         5
         4
         2
         4
         0
         2
         4
         1
         3
         5
         2
         3
         4
         3
         4
         3
         4
         3
         3
         0
         4
         1
         3
         4
         2
         4
         2
         1
         3
         2
         1
         2
         2
         2
         0
         1
         3
         0
         2
         3
         2
         2
         1
         4
         3
         1
         1
         4
         1
         4
         2
         1
         1
         1
         4
         2
         3
         2
         3
         0
         0
         0
         3
         2
         3
         0
         0
         3
         0
         1
         0
         0
         0
         1
         0
         3
         1
         3
         1
         0
         0
         2
         2
         0
         0
         0
         1
         2
         3
         0
         2
         4
         4
         0
         1
         2
         0
         0
         0
         2
         1
         2
         2
         0
         2
         0
         2
         3
         1
         0
         2
         4
         1
         0
         2
         0
         1
         1
         1
         0
         0
         1
         1
         2
         0
         3
         1
         1
         3
         2
         0
         2
         2
         2
         1
         2
         0
         3
         0
         1
         0
         1
         4
         1
         1
         1
         0
         2
         2
         2
         1
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         3
         2
         1
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         3
         1
         1
         0
         0
         1
         4
         2
         0
         0
         1
         1
         0
         0
         1
         2
         1
         1
         2
         1
         1
         7
        12
        61
       110
        98
        53
        48
        35
        33
        33
        20
        21
        31
        22
        25
        12
        18
        23
        15
        11
        10
        11
         6
        13
         8
         3
         6
         8
         9
         9
         6
         8
        13
         8
         7
         7
        11
         2
         8
         5
         8
         2
         2
         3
         0
         5
         4
         5
         7
         6
         3
         4
        10
         5
         5
         1
         2
         5
         6
         1
         3
         2
         4
         3
         3
         2
         1
         2
         4
         3
         2
         2
         6
         4
         1
         1
         6
         1
         6
         4
         4
         2
         2
         5
         4
         2
         4
         4
         5
         3
         1
         2
         1
         3
         4
         2
         1
         3
         5
         1
         2
         1
         3
         2
         4
         0
         4
         4
         3
         5
         1
         2
         3
         2
         2
         3
         4
         5
         5
         3
         3
         2
         4
         3
         1
         0
         2
         1
         4
         0
         3
         1
         4
         1
         1
         3
         2
         1
         0
         2
         2
         0
         4
         3
         1
         4
         1
         5
         3
         0
         2
         0
         3
         1
         2
         0
         4
         1
         0
         2
         0
         2
         2
         0
         1
         1
         4
         2
         0
         3
         0
         1
         1
         1
         0
         2
         0
         0
         1
         2
         3
         4
         1
         4
         0
         1
         1
         2
         1
         2
         2
         2
         4
         1
         1
         2
         2
         1
         0
         1
         3
         0
         2
         3
         1
         1
         1
         1
         0
         1
         2
         2
         0
         3
         2
         2
         4
         3
         0
         0
         0
         1
         2
         2
         2
         2
         2
         0
         0
         1
         2
         0
         3
         2
         4
         2
         0
         0
         1
         1
         0
         1
         4
         2
         1
         1
         0
         2
         2
         1
         2
         0
         2
         0
         0
         1
         3
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         4
         0
         0
         2
         1
         0
         0
         2
         2
         2
         1
         1
         1
         0
         1
         2
         0
         0
         4
         1
         1
         2
         1
         0
         1
         1
         1
         2
         0
         1
         2
         1
         0
         0
         0
         0
         1
         2
         0
         0
         2
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         2
         0
         0
         1
         2
         0
         0
         2
         3
         1
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         3
         0
         4
         1
         4
         3
         2
         1
         1
         3
         1
         4
         2
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         2
         0
         0
         0
         3
         0
         0
         3
         0
         0
         1
         0
         1
         0
         2
         1
         1
         0
         0
         0
         2
         0
         0
         1
         2
         1
         1
         1
         1
         1
         1
         2
         1
         0
         1
         1
         0
         0
         1
         0
         1
         4
         1
         0
         1
         0
         0
         1
         1
         0
         3
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         2
         2
         1
         0
         1
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         3
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         4
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         4
         1
         0
         0
         0
         4
         0
         0
         1
         0
         0
         0
         0
         1
         3
         0
         1
         1
         1
         0
         1
         3
         2
         0
         0
         3
         0
         3
         2
         0
         1
         1
         3
         1
         1
         1
         1
         1
         0
         1
         2
         2
         2
         3
         2
         0
         1
         2
         1
         2
         4
         2
         0
         2
         4
         1
         1
         3
         3
         2
         2
         1
         1
         1
         3
         1
         1
         2
         4
         6
         1
         1
         1
         1
         0
         2
         2
         5
         3
         2
        49
       102
        92
       110
       157
       186
       363
      1231
      4498
      3313
       842
       334
       187
       114
        87
        83
        80
        79
        76
        65
        63
        44
        64
        51
        55
        56
        70
        52
        44
        47
        46
        56
        36
        50
        57
        47
        36
        37
        56
        57
        42
        41
        49
        35
        39
        45
        47
        39
        30
        25
        32
        30
        34
        26
        28
        32
        22
        17
        14
        20
        23
        20
        26
        22
        14
        25
        27
        18
        21
        24
        22
        16
        10
        20
        14
        17
        12
        16
        12
        10
        10
         8
        19
        14
        13
        12
        11
        14
         5
        13
         9
         4
        11
        11
         6
         7
        12
         4
        11
         7
        10
        12
        14
        12
         7
         9
         5
         3
         5
         6
         8
        12
         5
        14
         6
         4
         9
         6
         8
        11
        11
         9
         6
         4
         5
         3
         5
         5
         5
         5
         8
         2
         0
         5
         8
         4
         6
         3
         5
         3
         1
         4
         2
         4
         2
         3
         4
         4
         4
         6
         1
         1
         5
         1
         2
         3
         1
         5
         2
         1
         4
         0
         5
         2
         3
         4
         2
         3
         3
         1
         1
         2
         2
         3
         5
         0
         4
         2
         3
         3
         2
         0
         4
         0
         3
         1
         1
         1
         1
         1
         1
         1
         1
         3
         2
         0
         0
         0
         2
         3
         0
         1
         2
         3
         0
         1
         2
         3
         3
         1
         2
         0
         3
         2
         1
         0
         1
         2
         3
         0
         2
         0
         1
         0
         0
         0
         0
         3
         0
         0
         1
         2
         0
         1
         0
         1
         1
         1
         0
         1
         2
         0
         2
         2
         2
         0
         0
         1
         0
         0
         2
         2
         0
         0
         1
         0
         0
         0
         1
         1
         3
         1
         0
         2
         0
         1
         2
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         3
         0
         2
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         3
         0
         1
         2
         1
         3
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         4
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         1
         0
         0
         2
         0
         2
         1
         0
         0
         1
         0
         0
         0
         2
         2
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         1
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         3
         1
         0
         0
         1
         2
         1
         2
         3
         3
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         2
         3
         3
         0
         2
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         1
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         1
         1
         2
         1
         2
         0
         0
         0
         1
         2
         1
         0
         2
         0
         2
         2
         1
         5
         0
         0
         0
         3
         1
         4
         2
         4
         2
         2
         1
         1
         2
         1
         3
         3
         1
         2
         3
         3
         3
         2
         5
         4
         2
         2
         4
         4
         3
         3
         4
         2
         4
         3
         1
         2
         4
         2
         4
         4
         2
         4
         3
         0
         3
         0
         1
         0
         0
         0
         3
         3
         1
         1
         1
         1
         0
         1
         2
         1
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         3
         1
         1
         0
         2
         1
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         1
         1
         2
         0
         1
         1
         1
         2
         0
         1
         1
         2
         3
         0
         3
         0
         3
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         1
         0
         0
         3
         0
         0
         0
         0
         2
         2
         1
         2
         0
         0
         2
         0
         0
         1
         1
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         1
         0
         3
         0
         0
         1
         1
         4
         2
         0
         0
         2
         1
         2
         2
         0
         1
         1
         2
         2
         1
         3
         1
         1
         1
         1
         0
         2
         1
         2
         2
         2
         2
         2
         3
         2
         1
         0
         2
         3
         2
         1
         5
         5
         5
         2
         2
         3
         2
         6
         6
         4
         4
         3
        11
         5
        10
         5
         5
         3
        13
         5
        12
         4
         4
        11
        10
         6
         5
        10
         7
        12
        14
         8
         5
         8
         3
         5
         5
         6
         1
         4
         3
         2
         1
         5
         2
         3
         2
         4
         3
         1
         3
         3
         0
         2
         1
         7
         0
         0
         1
         2
         3
         2
         2
         0
         2
         1
         1
         0
         1
         3
         1
         1
         0
         1
         4
         0
         2
         0
         2
         4
         2
         1
         0
         3
         3
         1
         4
         1
         4
         3
         0
         0
         1
         4
         0
         2
         3
         3
         1
         1
         1
         5
         3
         3
         4
         0
         1
         0
         2
         2
         3
         2
         2
         7
        12
         3
         3
         6
         3
         4
         0
         0
         5
         3
         1
         1
         3
         1
         1
         1
         1
         0
         0
         1
         1
         2
         0
         0
         1
         0
         2
         0
         1
         2
         2
         0
         3
         1
         3
         1
         0
         0
         2
         2
         0
         4
         3
         0
         0
         2
         0
         1
         1
         1
         0
         0
         1
         2
         1
         0
         0
         2
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         3
         0
         0
         0
         1
         1
         0
         0
         0
         3
         0
         1
         0
         0
         0
         2
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         3
         0
         4
         1
         1
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         1
         1
         3
         0
         2
         2
         3
         2
         4
         1
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         1
         2
         1
         1
         1
         0
         1
         1
         4
         0
         3
         3
         0
         2
         0
         1
         1
         0
         1
         1
         0
         0
         1
         2
         0
         1
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         2
         2
         3
         0
         0
         2
         0
         3
         0
         2
         0
         3
         1
         2
         1
         1
         0
         1
         0
         1
         1
         0
         0
         3
         1
         2
         1
         0
         1
         1
         4
         3
         1
         2
         6
         1
         3
         5
         4
         6
         8
         8
         4
         7
        10
         3
         5
         0
         2
         2
         0
         4
         1
         0
         1
         1
         2
         0
         2
         1
         3
         0
         0
         0
         1
         0
         0
         2
         3
         1
         2
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         2
         0
         4
         0
         1
         0
         1
         2
         1
         0
         0
         2
         0
         0
         1
         3
         3
         6
         4
         3
         7
         4
         4
         4
         0
         3
         2
         2
         1
         1
         3
         2
         1
         0
         0
         1
         1
         2
         2
         0
         1
         3
         1
         2
         4
         2
         0
         1
         2
         1
         1
         2
         3
         2
         0
         6
         0
         2
         2
         2
         2
         3
         0
         1
         4
         3
         1
         1
         0
         1
         4
         0
         1
         3
         2
         3
         3
         3
         2
         2
         2
         0
         2
         0
         1
         1
         0
         0
         1
         2
         3
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         1
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         2
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         2
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         1
         1
         2
         2
         2
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         2
         0
         0
         1
         0
         3
         8
         1
         3
         4
         3
         7
         3
         5
         5
         4
         5
         2
         9
         7
         3
         4
         7
         4
         4
         4
         3
         7
         5
         2
         1
         1
         5
         3
         5
         2
         9
         2
         2
         0
         6
         4
         4
         5
         1
         2
         2
         2
         7
         2
         2
         3
         0
         2
         3
         0
         3
         3
         1
         2
         0
         2
         2
         1
         2
         2
         2
         1
         0
         2
         2
         1
         0
         3
         0
         0
         1
         0
         1
         3
         3
         0
         2
         1
         0
         0
         1
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         4
         1
         1
         2
         0
         0
         1
         1
         0
         1
         1
         1
         1
         2
         0
         0
         1
         1
         1
         4
         1
         1
         4
         5
         3
         1
         5
         1
         3
         3
         3
         1
         3
         2
         2
         2
         1
         2
         0
         2
         3
         1
         1
         1
         3
         7
         3
         5
         0
         2
         3
         3
         7
         3
         4
         5
         6
         5
         4
         4
         4
         4
         3
         0
         0
         4
         4
         4
         0
         2
         0
         4
         1
         0
         2
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         3
         3
         2
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         2
         1
         1
         3
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         3
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         2
         0
         2
         1
         1
         1
         1
         1
         6
         2
         0
         1
         1
         1
         0
         1
         0
         0
         2
         0
         2
         0
         3
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         2
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         2
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         1
         2
         2
         1
         0
         4
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         4
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         3
         1
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         4
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         3
         2
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         3
         1
         2
         1
         2
         2
         6
         1
         1
         4
         1
         3
         1
         1
         1
         2
         2
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         2
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         2
         4
         3
         2
         3
         1
         3
         2
         0
         0
         1
         0
         2
         0
         0
         0
         4
         1
         4
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         3
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         4
         1
         3
         4
         7
         6
         9
         7
        10
        18
         8
         8
        10
        11
         3
         4
         1
         1
         2
         5
        11
         2
         9
         8
         3
         4
         3
        20
        96
       146
       109
        47
        14
         7
         3
         2
         2
         0
         0
         3
         1
         1
         1
         1
         3
         1
         2
         3
         1
         1
         2
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         2
         0
         2
         0
         1
         0
         1
         2
         0
         2
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         4
         3
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         3
         1
         0
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         5
         8
        17
        11
        21
        25
        18
        32
        24
        21
        30
        21
        19
        28
        13
        10
        12
         9
         5
         5
         3
         6
        14
        11
        15
        12
         8
        10
        19
       177
       422
       333
       122
        46
        18
        12
         8
         4
         5
         2
         3
         2
         8
         4
         3
         1
         3
         1
         4
         3
         3
         2
         2
         1
         3
         0
         2
         3
         1
         3
         2
         2
         1
         0
         2
         2
         2
         1
         4
         2
         1
         2
         2
         1
         1
         0
         2
         1
         3
         0
         1
         1
         1
         1
         1
         0
         2
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         1
         1
         1
         1
         1
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         2
         3
         1
         1
         0
         0
         2
         1
         3
         1
         0
         0
         0
         0
         3
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         2
         2
         0
         1
         3
         0
         1
         1
         1
         1
         3
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         1
         4
         1
         3
         1
         7
         7
        10
         7
         7
         7
         4
         2
         3
         2
         2
         2
         3
         1
         1
         1
         2
         5
         6
         1
         0
         0
         4
        21
        83
       108
        49
         7
         3
         2
         3
         0
         1
         0
         2
         0
         1
         1
         2
         1
         2
         2
         2
         1
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         2
         2
         2
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         2
         1
         0
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         2
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         2
         1
         0
         1
         1
         0
         1
         0
         0
         2
         1
         1
         0
         3
         0
         1
         0
         0
         3
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         2
         0
         0
         2
         3
         0
         0
         1
         3
         1
         6
         8
        12
         4
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         2
         0
         2
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         1
         2
         0
         3
         0
         1
         1
         0
         1
         1
         1
         2
         1
         0
         2
         0
         1
         0
         3
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         2
         6
         5
        12
        21
        33
        47
        47
        47
        74
        71
        70
        81
        75
        61
        50
        40
        37
        19
        24
        26
        28
        24
        13
        15
        12
        15
        24
        40
        70
        38
        28
        17
        13
        21
       239
      1020
      1107
       673
       221
        81
        35
        18
         7
        14
        12
         4
         4
        12
         7
         4
         7
         5
         9
         2
         5
         4
         4
         6
         4
         6
         3
         4
         7
         2
         3
         3
         7
         6
         2
         5
         5
         4
         1
         5
         3
         2
         3
         6
         2
         4
         4
         6
         1
         3
         2
         4
         3
         2
         1
         0
         2
         0
         2
         0
         0
         2
         3
         3
         2
         5
         1
         0
         3
         1
         2
         1
         1
         1
         3
         0
         1
         0
         2
         0
         0
         1
         1
         3
         0
         3
         0
         1
         1
         1
         1
         2
         1
         0
         2
         1
         0
         2
         1
         0
         2
         1
         3
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         2
         3
         0
         2
         1
         1
         1
         0
         1
         1
         1
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         5
        10
        13
         9
        28
        28
        34
        41
        23
        35
        23
        19
        23
        17
        14
         9
        15
        13
         9
         5
         8
         7
         5
         7
         7
        14
        19
        16
        15
         8
         8
         4
        15
       185
       484
       403
       216
        81
        27
         6
         4
         5
         2
         4
         6
         2
         3
         2
         1
         3
         4
         3
         2
         3
         2
         5
         2
         4
         4
         3
         6
         3
         4
         4
         0
         3
         3
         1
         3
         1
         1
         0
         3
         3
         0
         2
         5
         1
         0
         0
         2
         1
         0
         7
         0
         0
         2
         0
         1
         1
         3
         1
         3
         0
         4
         1
         0
         1
         0
         1
         0
         1
         1
         1
         0
         1
         1
         3
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         2
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         2
         1
         0
         0
         2
         3
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         5
         2
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         2
         1
         0
         2
         6
         5
         7
         6
         8
         7
        10
         8
        10
         8
         6
         9
         5
         4
         1
         3
         2
         3
         1
         1
         7
         3
         1
         2
         3
         1
         5
         6
         0
         3
         1
         2
         3
        22
       102
       144
        60
        27
         8
         1
         2
         2
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         2
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         4
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         3
         0
         0
         1
         1
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         4
         3
         2
         2
         5
         5
         7
         9
         4
        10
        10
         9
         9
         5
         4
         1
         3
         0
         2
         1
         3
         0
         1
         3
         2
         4
         4
         3
         4
         1
         1
         5
         7
         0
         1
         4
         1
         1
         2
         4
        41
       139
       120
        53
        17
         3
         2
         2
         2
         2
         1
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         0
         3
         3
         6
         9
        14
        22
        20
        19
        24
        25
        29
        29
        29
        33
        10
        10
        10
        11
         7
        11
         3
         6
        10
         3
         9
         4
         2
         4
        10
         4
         7
         8
         4
        11
        10
         9
         8
         3
         5
         3
         2
         5
        81
       352
       491
       219
        64
        25
         9
         7
         7
         4
         0
         3
         2
         1
         3
         0
         2
         2
         1
         1
         1
         0
         2
         3
         1
         2
         0
         1
         2
         0
         0
         1
         3
         0
         1
         1
         0
         2
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         2
         0
         2
         1
         2
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         3
         4
         8
        11
         7
         8
        16
        23
        21
        14
        14
         9
        11
        10
        10
         4
         5
         4
         3
         4
         4
         3
         2
         2
         4
         1
         3
         2
         0
         5
         2
         4
         7
        10
         7
         1
         7
         3
         2
         2
         5
        27
       187
       266
       139
        57
        22
         5
         5
         4
         5
         0
         0
         3
         1
         1
         1
         1
         2
         1
         0
         1
         0
         0
         2
         1
         0
         0
         1
         2
         2
         1
         1
         1
         2
         1
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         2
         1
         2
         0
         0
         2
         1
         0
         1
         0
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         2
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         1
         0
         2
         1
         0
         1
         1
         1
         3
         0
         1
         2
         2
         0
         0
         0
         1
         1
         2
         3
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         2
         0
         1
         3
         4
         1
         7
         1
         0
         0
         2
         0
         1
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         3
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         2
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         5
        12
        14
         5
         4
         3
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         5
         7
         3
         5
         2
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         3
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         3
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         1
         5
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         1
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         2
         1
         0
         0
         4
         2
         1
         1
         7
         6
         3
         5
         9
         4
         2
         1
         2
         1
         1
         2
         2
         0
         2
         1
         1
         1
         1
         2
         1
         0
         3
         0
         1
         3
         2
         2
         2
         1
         1
         1
         1
         1
         2
         1
         2
         1
         2
        13
        38
        50
        47
        18
        11
         5
         1
         1
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         2
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         1
         2
         3
         2
         4
         5
         3
         7
         3
         3
         0
         2
         0
         0
         3
         2
         2
         1
         0
         1
         1
         1
         3
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
        13
        35
        38
        26
        17
         7
         1
         2
         1
         1
         0
         1
         1
         0
         3
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         3
         0
         1
         2
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         3
         0
         2
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         2
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         2
         0
         3
         1
         6
         4
        13
        13
        18
        20
        27
        23
        28
        16
        25
        13
        12
         8
         8
        11
         7
         7
        11
         7
         4
         2
         2
         4
         6
         1
         2
         1
         5
         4
         7
         2
         4
         3
         1
         5
         5
         8
         7
         3
         1
         4
         3
         0
         0
         7
         5
        79
       287
       304
       180
        81
        21
        21
         6
         4
         4
         2
         3
         2
         0
         3
         3
         5
         0
         0
         2
         2
         1
         1
         1
         1
         0
         1
         0
         0
         1
         1
         3
         1
         0
         3
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         1
         0
         2
         1
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         1
         0
         2
         1
         0
         2
         1
         1
         1
         0
         1
         0
         2
         0
         0
         3
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         1
         2
         1
         0
         1
         1
         4
         3
         0
         1
         2
         0
         1
         1
         1
         0
         2
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         3
        15
         3
         6
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         2
         4
         8
         4
         5
        10
         7
        13
         9
         7
         8
         3
         6
         1
         4
         4
         3
         3
         2
         3
         3
         1
         1
         2
         0
         3
         0
         0
         0
         1
         0
         2
         2
         0
         2
         2
         3
         4
         2
         2
         2
         3
         0
         1
         4
         1
         2
         7
        58
       106
        78
        46
        11
        17
        12
         9
         8
         0
         2
         1
         2
         0
         3
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         3
         1
         0
         1
         0
         0
         1
         0
         3
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         2
         0
         0
         1
         0
         1
         2
         1
         1
         3
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         2
         0
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         2
         8
        13
         5
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         6
         5
         1
         2
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         4
         3
         1
         2
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         7
         8
         5
         2
         5
         3
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         1
         0
         1
         1
         0
         2
         3
         3
         0
         2
         1
         2
         2
         4
         4
         1
         0
         2
         0
         1
         0
         0
         2
         0
         1
         0
         1
         2
         1
         1
         2
         0
         0
         1
         0
         2
         0
         3
         1
         0
         1
         1
         1
         1
         1
         1
         0
         1
         0
         1
         1
         0
         1
         1
         5
         4
        20
        32
        21
         9
         4
         6
         1
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         1
         2
         2
         1
         0
         1
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         1
         1
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         2
         2
         2
         1
         2
         4
         5
         3
         5
         2
         4
         4
         3
         2
         2
         1
         2
         1
         2
         1
         3
         1
         1
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         6
        24
        50
        22
        10
         4
         3
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         2
         0
         1
         3
         0
         1
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         3
         2
         5
        12
        15
         8
         3
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         3
         5
         3
         4
         3
         3
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         1
         3
         0
         1
         2
         1
         2
         3
         4
         1
         0
         1
         0
         1
         2
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         6
         9
        11
         5
         2
         2
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         3
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         3
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         1
         0
         0
         3
         0
         0
         0
         2
         2
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         3
         4
         6
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         1
         2
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         1
         6
        10
         8
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         1
         2
         5
         0
         2
         1
         3
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         1
         1
         2
         0
         0
         2
         1
         0
         0
         0
         2
         2
         0
        10
        16
        13
         9
         3
         3
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         4
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         4
         2
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         3
         2
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         4
         5
         0
         2
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         3
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         1
         1
         0
         0
         1
         0
         1
         0
         2
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         3
         4
         6
         1
         0
         0
         3
         6
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         2
         5
         2
         1
         4
         4
         1
         2
         3
         2
         2
         3
         0
         3
         2
         1
         0
         0
         2
         0
         0
         0
         0
         1
         2
         2
         1
         0
         2
         0
         0
         0
         0
         2
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         2
         0
         0
         0
         0
         2
         1
         4
        11
        21
        12
        18
        19
         9
         6
         0
         0
         2
         0
         1
         1
         0
         2
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         2
         2
         2
         0
         5
         2
         0
         2
         3
         4
         1
         1
         2
         0
         2
         1
         0
         0
         0
         0
         4
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         1
         5
        25
        22
        17
        16
         7
         3
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         6
         4
         3
         3
         5
         8
         2
         3
         3
         4
         3
         0
         1
         4
         0
         1
         3
         2
         1
         1
         2
         1
         1
         0
         2
         0
         3
         1
         0
         1
         1
         1
         1
         0
         0
         2
         0
         1
         0
         2
         2
         0
         0
         0
         1
         4
         5
         1
         1
         0
         0
         1
         3
         1
         1
         0
         1
         1
         2
        13
        35
        68
        49
        27
         9
         5
         3
         0
         1
         2
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         4
         1
         0
         0
         4
         2
         3
         2
         1
         1
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         6
        18
        15
        14
         6
         3
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         4
         3
         3
         1
         1
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         3
         0
         1
         1
         1
         1
         0
         4
         3
         3
         2
         1
         0
         0
         3
         2
         0
         1
         1
         0
         0
         0
         3
         2
         0
         2
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         8
        10
        21
        20
        11
         3
         1
         4
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         2
         2
         1
         1
         0
         0
         4
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         4
         5
         4
         4
         4
         3
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         3
         2
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         2
         4
         4
         1
         3
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         4
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         1
         1
         1
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         2
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         3
         0
         2
         1
         0
         0
         0
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         2
         3
         2
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         4
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         1
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         7
        10
        11
        14
         5
         1
         0
         0
         2
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         2
         0
         3
         1
         1
         0
         2
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         3
         2
         1
         2
         3
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         1
         2
         0
         2
         1
         7
         5
         5
         2
         1
         0
         0
         1
         3
         1
         1
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         4
         0
         1
         2
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         0
         0
         2
         2
         0
         0
         0
         0
         1
         2
         1
         0
         0
         2
         1
         1
         1
         4
         8
        24
        17
        10
         1
         4
         1
         1
         1
         2
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         3
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         0
         0
         1
         5
         3
         4
         6
         3
         2
         0
         2
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         1
         3
         6
         0
         5
         5
        13
         5
         8
         5
         6
         5
         5
         1
         1
         0
         2
         2
         3
         1
         0
         3
         0
         1
         0
         0
         2
         2
         2
         2
         1
         0
         3
         2
         1
         0
         0
         0
         0
         1
         3
         1
         0
         1
         2
         4
         1
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         4
         0
         0
         2
         0
         2
         0
         0
         1
         0
         0
         4
         8
        44
        62
        47
        16
        12
        14
         0
         3
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         2
         0
         1
         1
         1
         0
         2
         4
         0
         2
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         2
         0
         1
         3
         2
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         2
         1
         0
         1
         1
         1
         0
         1
         0
         2
         1
         0
         0
         2
         0
         0
         1
         2
        11
        10
         8
         4
         6
         5
         2
         7
         3
         3
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         2
         1
         0
         3
         3
         6
         1
         1
         3
         3
         4
         3
         3
         1
         3
         1
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         1
         3
         0
         1
         1
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         4
         0
         0
         1
         0
         1
         3
        10
        27
        24
        14
         8
         3
         7
         9
        11
         6
         3
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         1
         0
         3
         3
         0
         2
         3
         0
         3
         2
         2
         1
         1
         1
         5
         6
         8
         8
         6
         3
         6
         2
        11
         5
         4
         4
         1
         4
         0
         0
         0
         0
         2
         0
         2
         1
         1
         1
         2
         1
         4
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         3
         3
         1
         3
         0
         3
         1
         0
         1
         1
         1
         0
         0
         1
         0
         3
        38
        48
        53
        41
        34
        46
        29
        16
         3
         2
         0
         3
         0
         1
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         3
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         3
         3
         4
         0
         0
         1
         1
         1
         1
         0
         1
         2
         2
         1
         4
         1
         0
         4
         3
         6
         4
         7
         4
         9
         4
         3
         1
         4
         1
         0
         0
         3
         2
         2
         2
         0
         1
         2
         1
         0
         3
         0
         2
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         5
        15
        39
        52
        26
        21
         3
         2
         2
         1
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         3
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         3
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         3
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         2
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         2
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         2
         0
         3
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         2
         1
         2
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         4
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         2
         3
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         0
         4
         7
         3
         5
         5
         4
         5
         2
         1
         1
         0
         0
         0
         0
         0
         1
         1
         2
         1
         2
         0
         0
         2
         0
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         3
         2
         1
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         3
         1
         3
         2
         1
         2
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         2
         1
         0
         0
         2
         2
         0
         1
         3
         3
         1
         4
         3
         5
         4
         3
         2
         0
         3
         1
         0
         2
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         1
         2
         0
         0
         1
         0
         1
         2
         3
         0
         1
         0
         1
         0
         1
         2
         2
         4
         3
         5
        11
        22
        33
        14
        10
         5
         1
         0
         1
         0
         1
         1
         1
         0
         2
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         1
         1
         1
         1
         2
         4
         0
         3
         1
         0
         2
         0
         1
         3
         2
         0
         2
         0
         4
         2
         0
         0
         1
         0
         1
         0
         0
         2
         2
         1
         1
         0
         1
         0
         1
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         1
         4
         3
         2
        10
         9
        13
         5
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         1
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         2
         2
         3
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         3
         1
         2
         2
         3
         3
         3
         6
        13
         3
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         2
         0
         1
         0
         1
         2
         2
         2
         0
         0
         0
         0
         2
         0
         2
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         1
         1
         4
         1
         1
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         2
         1
         0
         1
         2
         4
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         2
         0
         4
         0
         0
         0
         0
         0
         1
         2
         2
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         2
         1
         3
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         2
         2
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         4
         2
         1
         0
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         1
         0
         1
         1
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         2
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         1
         0
         1
         0
         1
         1
         0
         1
         1
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         3
         3
         1
         7
         4
         2
         2
         1
         1
         2
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         2
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         2
         1
         2
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         2
         2
         3
         3
         1
         3
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         3
         2
         0
         0
         5
         0
         0
         5
         1
         3
         1
         1
         2
         0
         2
         4
         1
         1
         0
         4
         4
         1
         0
         0
         0
         0
         0
         0
         3
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         4
         2
         0
         0
         1
         0
         3
         1
         3
        10
        13
        15
         7
         1
         3
         1
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         2
         0
         2
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         3
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         3
         0
         3
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         3
         2
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         3
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         3
         2
         1
         2
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         2
         2
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         2
         1
         1
         2
         3
         2
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         5
         4
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         2
         3
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         3
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         3
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         2
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         3
         2
         2
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         2
         0
         1
         1
         1
         3
         0
         4
         0
         3
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         3
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         1
         0
         1
         1
         0
         3
         1
         1
         2
        10
         9
         3
        10
         7
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         0
         2
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         2
         3
         1
         3
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         4
         0
         4
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         2
         1
         2
         1
         1
         0
         1
         0
         0
         0
         2
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         2
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         2
         5
         5
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         3
         2
         0
         1
         2
         0
         1
         3
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         1
         4
         3
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         3
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         2
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         2
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         2
         0
         1
         0
         2
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         2
         0
         0
         1
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         4
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         2
         1
         0
         2
         2
         1
         1
         0
         0
         1
         1
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         3
         1
         1
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         2
         2
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         3
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         3
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         3
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         4
         1
         1
         2
         3
         3
         1
         0
         0
         2
         0
         2
         3
         1
         3
         0
         2
         3
         3
         9
         9
         8
        14
        14
         9
        15
        19
        15
        11
        15
        11
         6
         8
         6
         9
         5
         7
         5
         4
         1
         1
         3
         3
         4
         3
         3
         1
         3
         3
         2
         3
         3
         0
         2
         3
         1
         3
         2
         1
         2
         1
         3
         3
         4
         2
         1
         0
         1
         2
         0
         0
         0
         1
         3
         1
         0
         2
         0
         4
         1
         1
         2
         2
         1
         3
         0
         1
         1
         0
         1
         2
         0
         1
         0
         3
         2
         0
         1
         1
         0
         4
         0
         1
         1
         4
         2
         2
         0
         2
         1
         3
         0
         2
         2
         2
         1
         2
         0
         5
         0
         0
         2
         1
         2
         2
         4
         0
         4
         2
        10
        22
        74
       138
       155
       173
       128
       116
        72
        52
        51
        43
        26
        14
        13
         6
         6
         2
         1
         0
         2
         2
         1
         0
         0
         1
         2
         3
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         4
         2
         2
         4
         6
         2
         0
         2
         7
         1
         1
         2
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         1
         1
         4
         1
         4
         1
         5
         3
         2
         1
         4
         2
         1
         1
         2
         3
         3
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         2
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         2
         1
         2
         1
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         3
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         2
         3
         1
         1
         3
         1
         3
         5
         5
         7
         0
         2
         3
         1
         0
         0
         0
         3
         1
         1
         2
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         2
         2
         3
         0
         2
         0
         2
         0
         0
         0
         0
         1
         2
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         3
         2
         4
        15
         8
         6
        11
         8
         6
         4
         4
         2
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         3
         2
         2
         0
         3
         1
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         1
         3
         2
         0
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         1
         1
         4
         3
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         1
         0
         2
         2
         0
         2
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         2
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         1
         2
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         2
         1
         0
         1
         0
         0
         1
         2
         1
         1
         1
         1
         0
         1
         2
         0
         3
         2
         1
         1
         4
         4
         3
         3
         1
         1
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         4
         0
         1
         1
         1
         1
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         2
         1
         0
         2
         0
         0
         5
         3
         3
         3
        11
        10
         9
         1
         1
         4
         1
         2
         2
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         5
         1
         5
         5
         2
         4
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         2
         1
         0
         2
         0
         1
         3
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         3
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         2
         2
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         3
         0
         3
         2
         4
         2
         0
         1
         1
         0
         4
         1
         1
         2
         0
         0
         1
         1
       125
        45
         0
         4
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
        80
        41
         3
         5
         5
         1
         0
         1
         2
         0
         3
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         3
         0
         0
         1
         2
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         1
         0
         0
         2
         1
         4
         3
         0
         0
         2
         0
         0
         0
         0
        32
        12
         0
         6
         6
         6
         6
         5
         6
         5
         1
         0
         0
         0
         0
         2
         1
         1
         2
         1
         0
         1
         1
         0
         2
         3
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         1
         6
         3
         3
         2
         4
         5
         2
         3
         2
         3
         2
         0
         2
         2
         6
         9
         8
        10
         4
         5
         2
         3
         2
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         2
         1
         0
         0
         1
         1
         0
         0
         1
         5
         1
         4
        10
        12
         4
         2
         5
         0
         3
         0
         0
         0
         1
         2
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         1
         2
         0
         2
         2
         0
         0
         0
         1
         0
         0
         2
         4
        11
        10
        18
        26
        14
        13
        10
         6
         3
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         2
         0
         1
         0
         0
         0
         1
         0
         3
         2
         8
         6
         7
        10
         7
         4
         1
         2
         2
         3
         3
         1
         0
         2
         3
         0
         1
         0
         3
         1
         2
         0
         0
         0
         0
         0
         0
        14
         7
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
       111
        46
         0
         0
         0
         0
         0
         1
         8
         5
        13
        10
         6
         5
         7
         4
         3
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         2
         0
         3
         0
         0
         2
         1
         2
         0
         1
         0
         1
         4
         6
        12
         2
         2
         4
         1
         0
         1
         2
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         3
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         3
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
        12
         2
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         5
         3
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
        13
         7
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
       102
        49
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         4
         1
         0
         1
         1
         5
         1
         0
         1
         1
         1
         2
         1
         1
         0
         0
         2
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         1
         2
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         1
         2
         0
         2
         1
         1
         3
         0
         2
         1
         0
         0
         0
         0
         0
         4
         1
         3
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         1
         0
         0
         2
         0
        77
        40
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
        37
        18
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
        11
         5
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
        17
         4
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
        10
         4
         0
         1
         0
         1
         0
         1
         1
         1
         2
         0
         1
         1
         0
         2
         2
         2
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         2
         2
         2
         2
         2
         1
         1
         1
         0
         1
         2
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         1
         0
         2
         1
         1
         1
         4
         1
         1
         1
         0
         2
         0
         3
         2
         0
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         3
         7
         1
         1
         0
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         1
         5
         2
         0
         0
         1
         3
         1
         0
         1
         0
         1
         1
         1
         1
         1
         1
         2
         1
         0
         0
         1
         1
         0
         1
         1
         6
        10
        11
         3
         2
         3
         2
         2
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         2
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         2
         1
         1
         1
         1
         0
         1
         2
         1
         3
         5
         8
        11
         5
         3
         1
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         0
         2
         0
         0
         0
         2
         1
         2
         2
         1
         0
         1
         2
         0
         0
         5
         0
         0
         2
         1
         0
         2
         0
        17
         4
         1
         1
         1
         1
         0
         0
         1
         2
         1
         6
         9
        12
         7
         8
         8
         9
         3
         5
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         6
         1
         1
         5
         8
         0
         3
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         6
         7
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         3
         3
         2
         0
         0
         6
         2
         7
         2
         3
         4
         1
         1
         0
         2
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         3
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
        41
        23
         1
         2
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
        26
        10
         1
         0
         0
         2
         1
         0
         1
         1
         1
         1
         1
         0
         0
         1
         6
         3
         1
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
        12
         8
         1
         3
         0
         2
         2
         1
         0
         3
         0
         0
         0
         1
         0
         0
         4
         8
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
        55
        35
         0
         0
         0
         0
         1
         0
         0
         3
         2
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         3
         0
         1
         0
         0
       108
        35
         3
         3
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         6
         7
         0
         0
         0
         0
         0
         0
         2
         0
         3
         3
         2
         3
         0
         2
         0
         0
         0
         1
         1
         1
         2
         4
        12
        13
         9
         3
         4
         2
         1
         1
         2
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         2
         1
         1
         1
         0
         0
         4
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         2
         4
         3
         4
         5
         4
         2
         3
         0
         1
         1
         0
         1
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         2
         6
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         2
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         2
         3
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         2
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         4
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         2
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         4
         0
         0
         0
         0
         0
         0
         0
         0
         0
        40
        27
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
        28
         7
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         3
         0
         0
         1
         1
         0
         0
         6
         0
         2
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         3
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         2
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         2
         0
         0
         3
         3
         1
         1
         2
         0
         0
         0
         0
         0
         2
         1
         2
         0
         1
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         1
         0
         1
         0
         3
         1
         1
         2
         0
         3
         1
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         1
         2
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         2
         1
         1
         0
         2
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         2
         2
         0
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         3
         1
         1
         0
         3
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         4
         5
         3
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         2
         2
         4
         2
         2
         3
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         1
         1
         1
         1
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         1
         0
         1
         2
         5
         5
         2
         4
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         4
         2
         5
         7
         7
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         2
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         2
         0
         3
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         3
         0
         0
         2
         0
         0
         1
         2
         0
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         5
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         2
         0
         1
         5
         0
         6
         0
         5
         4
         2
         2
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         3
         2
         2
         1
         1
         3
         0
         1
         0
         1
         1
         1
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         2
         1
         2
         0
         1
         1
         0
         0
         0
         3
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         2
         2
         1
         2
         0
         0
         1
         0
         0
         1
         1
         0
         2
         0
         1
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         2
         1
         1
         0
         1
         0
         1
         2
         1
         1
         3
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         2
         5
         3
         4
         8
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         2
         0
         2
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         4
         2
         5
        10
         4
         5
         1
         4
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         1
         0
         0
         0
         0
         1
         1
         3
         3
         2
         2
         1
         2
         2
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         2
         1
         2
         4
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         3
         0
         2
         0
         0
         0
         0
         2
         2
         1
         0
         2
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         2
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         1
         0
         0
         2
         0
         3
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         2
         1
         2
         1
         2
         2
         1
         0
         2
         0
         0
         1
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         2
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         2
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         4
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         3
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         1
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         2
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         5
         4
         4
        10
         6
         6
         6
         6
         4
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         1
         1
         6
         5
         7
         7
         4
         4
         1
         2
         1
         1
         3
         1
         0
         1
         1
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         3
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         3
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         2
         1
         1
         2
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         4
         3
         3
         2
         5
         2
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         3
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         1
         1
         3
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         3
         3
         1
         1
         1
         2
         2
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         3
         1
         1
         0
         3
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         3
        10
         3
         5
         2
         8
         2
         2
         0
         1
         3
         0
         0
         2
         0
         1
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         2
         1
         0
         2
         1
         0
         1
         2
         0
         3
         3
         2
         1
         1
         1
         2
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         2
         1
         1
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         3
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         1
         2
         0
         2
         3
         0
         1
         1
         1
         0
         1
         0
         2
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         2
         1
         0
         3
         1
         1
         3
         1
         2
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         1
         2
         0
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         2
         1
         1
         2
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         2
         1
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         3
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         2
         2
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         2
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         3
         0
         0
         2
         2
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         3
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         5
         0
         5
         3
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         5
         3
         2
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         1
         2
         0
         3
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         3
         1
         2
         4
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         3
         4
         6
         8
         9
        16
         6
         7
         6
         1
         5
         1
         0
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         2
         1
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         4
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         2
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         3
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         1
         2
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         2
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         2
         1
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         4
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         3
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         2
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         3
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         4
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         3
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         2
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         4
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         3
         0
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1