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_20020616T144407_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_20020616T144407_SP_N"
PRODUCT_CREATION_TIME           = 2006-10-09T19:47:29
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                      = 2002-06-16T14:44:07
STOP_TIME                       = 2002-06-16T14:46:51
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      = 5250
ROSETTA:COSIMA_SUBSTRATE_Y      = 770
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
         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
         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
         0
         0
         0
         3
         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
         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
         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
         2
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         3
         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
         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
         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
         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
         1
         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
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         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
         1
         1
         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
         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
         0
         0
         0
         1
         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
         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
         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
         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
         2
         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
         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
         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
         2
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         2
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         2
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
     70000
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         0
         1
         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
         0
         0
         0
         0
     69997
         0
         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
     69998
         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
     70000
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         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
         1
         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
         1
         0
         2
         0
         2
         0
         0
         0
         1
         1
         2
         0
         1
         2
         0
         2
         0
         0
         4
         1
         1
         4
         4
         3
         4
         4
         3
         3
         5
         3
         3
         3
         5
         1
         1
         4
         5
         2
         2
         2
         3
         0
         1
         3
         2
         1
         0
         4
         1
         1
         4
         3
         2
         1
         2
         2
         1
         2
         1
         1
         0
         0
         1
         3
         1
         0
         1
         1
         0
         0
         3
         0
         0
         2
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         2
         0
         0
         2
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         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
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         3
         1
         3
         2
         2
         1
         3
         3
         3
         2
         7
         2
         0
         3
         2
         4
         2
         4
         2
         6
         7
         6
         4
         6
         2
         7
         7
         9
         7
         8
         9
         4
         9
         4
         7
        10
         6
         7
         4
         8
         6
         5
         6
         4
         7
         6
         5
        11
        10
         5
         5
         6
         6
         4
         5
         6
         6
         3
         8
         9
         1
         6
         2
         2
         3
         7
         1
         6
         4
         2
         5
         1
         3
         4
         2
         4
         8
         2
         7
         1
         5
         4
         5
         2
         2
         7
         0
         3
         1
         0
         3
         3
         5
         2
         1
         2
         2
         1
         1
         0
         2
         2
         1
         0
         2
         0
         5
         2
         2
         1
         0
         0
         1
         2
         0
         1
         0
         1
         0
         2
         0
         3
         1
         0
         0
         0
         3
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         1
         1
         2
         1
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         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
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         2
        11
       205
       880
      1137
       903
       759
       749
       869
      1009
      1119
      1177
      1335
      1298
      1372
      1345
      1393
      1468
      1605
      1681
      1816
      1868
      1851
      2134
      2167
      2291
      2301
      2169
      2688
      5155
      4999
      2675
      2094
      4042
     10522
      5039
      1878
      1671
       674
       723
       628
       577
       543
       524
       569
       469
       585
       731
       917
      1171
      1418
      1452
      1447
      1539
        72
      1012
      1129
      1501
      1649
      1543
      1509
      1418
      1404
      1646
      1721
      2177
      1823
      1629
      1524
      1529
       329
      1747
      1629
      1578
      1304
      1268
      1320
      1338
      1417
      1463
      1309
      1301
      1274
      1231
      1344
      1443
       503
      1132
      1121
      1061
      1132
      1016
      1160
      1131
      1101
      1079
      1034
       969
      1096
      1115
      1121
      1149
       581
       923
       852
       947
       966
       904
       910
       874
       753
       838
       774
       836
       816
       782
       729
       781
       470
       725
       715
       684
       718
       668
       602
       605
       568
       617
       638
       586
       589
      1089
       458
       530
       615
       473
       543
       425
       472
       390
       411
       516
       424
       427
       408
       368
       386
       395
       374
       436
       333
       359
       343
       337
       317
       317
       413
       283
       307
       325
       306
       320
       278
       290
       301
       309
       266
       324
       298
       275
       324
       301
       249
       272
       265
       250
       286
       243
       267
       225
       233
       216
       200
       214
       232
       206
       169
       192
       197
       192
       188
       206
       141
       161
       185
       151
       150
       152
       133
       129
       150
       143
       136
       141
       138
       114
       126
       102
       102
        98
       126
       114
       112
       100
       103
        82
       105
       101
        80
        93
        94
        84
        78
        83
        84
        87
        62
        89
        78
        65
        68
        93
        65
        65
        80
        59
        63
        64
        77
        69
        59
        63
        57
        42
        59
        57
        55
        57
        44
        38
        45
        34
        50
        37
        35
        43
        46
        38
        43
        31
        43
        33
        34
        37
        40
        33
        29
        41
        31
        26
        31
        37
        22
        32
        32
        33
        44
        31
        28
        21
        18
        30
        16
        30
        20
        26
        19
        33
        13
        19
        17
        17
        22
        13
        20
        23
        15
        26
        20
        14
        16
        10
        14
        16
        15
        10
        16
        21
        13
        13
        10
        22
        13
        18
        16
        10
        11
        13
        16
        18
        14
        14
         5
         2
        14
        15
         7
        10
        11
        11
        10
         8
         9
         9
        12
        10
         7
        10
         9
         9
         5
         6
        10
        12
        10
        10
         5
         7
         7
         7
         7
         9
         2
         7
         4
         7
         6
         7
         9
        10
         4
         7
        10
         5
         1
         5
         4
         3
         3
         2
         2
         2
         6
         6
         2
         9
        10
         5
         8
         7
         4
         4
         4
         4
         5
         4
         0
         6
         3
         5
         7
         4
         2
         5
         2
         7
         8
        14
         7
         9
        10
         5
         7
        11
         5
         8
         9
        10
         3
        11
        12
         4
         4
         8
        10
         7
         9
         7
         7
         8
         9
         7
         8
         5
         6
         8
        10
         6
         9
         4
         6
         6
         5
         5
         2
         3
         2
         6
         7
         4
         8
         7
         5
         4
         3
         6
         3
         0
         6
         4
         2
         4
         8
         2
         1
         2
         2
         0
         2
         3
         4
         4
         2
         3
         1
         2
         3
         3
         2
         2
         2
         3
         3
         1
         2
         1
         1
         3
         4
         5
         3
         0
         2
         3
         2
         4
         0
         3
         3
         3
         1
         3
         1
         4
         1
         5
         1
         3
         3
         2
         4
         3
         3
         2
         5
         6
         3
         2
         3
        11
         4
         3
         2
         5
         0
         5
         4
         5
         5
         6
         8
         3
         6
         5
         5
         9
        10
         3
         9
         6
         7
         9
         4
         4
         8
         8
         9
         8
         4
         5
         4
         5
         8
         3
         5
         3
         7
         5
         6
         3
         1
         5
        10
        11
         3
         2
         4
         5
         6
         6
         8
         7
        15
         6
         8
        11
         9
         9
        10
        10
        10
         5
         7
        13
        14
        13
        15
        11
        22
        15
         9
        17
        13
        15
        12
        13
        14
        18
        17
        11
        12
        10
        13
        20
        11
        17
         7
        16
        14
        15
        14
        17
        15
        17
        15
        14
        12
        10
         5
        15
         7
        13
        15
         9
         3
        10
         9
         8
         6
        10
         6
         8
         8
        13
        10
         8
        10
         7
         9
         5
         8
         5
        15
         2
         7
         7
        10
         8
         7
        13
         4
         7
         6
         6
         7
         4
         6
         3
         6
         0
         9
         5
        10
         5
         6
         4
         6
         4
         6
         4
         4
         7
         2
         1
        14
         6
         2
         2
         2
         4
         3
         5
         1
         3
         5
         2
         8
         4
         3
         3
         1
         4
         4
         6
         5
         6
         4
         9
         7
         9
         8
         8
        26
        38
        58
        91
        65
        37
        20
        16
        26
        19
        16
        23
        18
        28
        17
        15
        13
        17
        10
        14
        15
        10
        12
        11
        15
        16
        12
        12
        16
        12
        14
        13
        14
        12
        13
        12
        16
        11
        19
        13
        11
        15
        12
        10
        10
        18
        19
         8
        12
        13
        13
        13
        10
         3
        16
         5
         6
        13
         8
        15
        10
        10
        12
         5
         7
         9
         5
         7
         6
         9
        10
         5
         6
         5
         2
         6
         6
         9
         6
         3
         6
         2
         3
         6
         3
         6
         5
         2
         1
         4
         6
         3
         8
         5
         7
         5
         6
         6
         6
         4
         5
         3
         5
         3
         1
         2
         1
         6
         3
         4
         4
         8
         6
         2
         6
         2
         6
         9
         4
         3
         2
         1
         4
         2
         4
         5
         6
         1
         3
         2
         2
         3
         2
         6
         8
         3
         6
         4
         1
         3
         3
         5
         1
         2
         3
        10
         6
         4
         6
         5
         4
         7
         8
        10
         5
         5
         7
         3
         4
         7
         4
         4
         4
         1
         7
         5
         5
         8
         5
         4
         2
         7
         2
         1
         6
         6
         2
         4
         2
         3
         3
         4
         6
         5
         2
         1
         2
         4
         6
         2
         2
         1
         3
         5
         3
         2
         3
         8
         0
         4
         4
         2
         3
         7
         0
         1
         3
         2
         2
         3
         7
         2
         5
         2
         4
         6
         3
         4
         2
         2
         4
         5
         5
         2
         2
         9
         4
         6
         8
         4
         2
         6
         2
         3
         4
         2
         1
         3
         0
         6
         7
         2
         5
         3
         2
         2
         2
         3
         0
         5
         4
         1
         1
         5
         1
         2
         2
         4
         4
         3
         0
         2
         1
         2
         4
         3
         1
         3
         1
         4
         0
         4
         2
         3
         2
         3
         1
         0
         2
         2
         3
         2
         1
         1
         3
         1
         3
         1
         3
         0
         3
         2
        20
        44
        52
        38
        35
        29
        18
        18
        20
        14
        20
        11
        10
        11
         8
        12
         9
        12
        15
         7
         8
         3
         3
         6
         7
         5
         5
         5
         5
         5
         6
         7
         5
         6
         6
         2
         3
         4
         4
         3
         0
         8
         6
         4
         5
         7
         3
         2
         3
         2
         3
         3
         3
         4
         2
         5
         6
         3
         5
         1
         4
         4
         2
         3
         2
         3
         2
         4
         0
         2
         3
         1
         4
         0
         3
         0
         3
         2
         0
         1
         0
         2
         0
         0
         3
         2
         3
         3
         4
         1
         5
         2
         4
         3
         1
         5
         3
         2
         3
         3
         1
         1
         5
         4
         3
         4
         5
         5
         2
         1
         3
         1
         6
         4
         3
         2
         1
         0
         3
         5
         1
         3
         3
         1
         3
         1
         4
         5
         5
         1
         2
         3
         1
         0
         0
         3
         1
         3
         3
         3
         5
         1
         3
         3
         4
         2
         1
         1
         2
         1
         2
         2
         1
         2
         0
         2
         3
         4
         2
         1
         4
         0
         0
         0
         0
         3
         5
         1
         3
         1
         6
         5
         2
         2
         4
         3
         0
         1
         1
         2
         4
         2
         2
         1
         1
         0
         0
         1
         1
         1
         4
         0
         1
         0
         1
         1
         3
         2
         2
         0
         0
         2
         2
         2
         0
         1
         3
         3
         2
         0
         1
         1
         2
         1
         1
         2
         1
         1
         2
         3
         2
         5
         3
         4
         2
         1
         1
         3
         4
         2
         1
         4
         4
         3
         2
         1
         1
         2
         0
         1
         2
         1
         4
         5
         2
         0
         2
         2
         1
         3
         2
         4
         2
         2
         1
         3
         0
         3
         1
         4
         1
         2
         6
         2
         3
         1
         3
         3
         3
         1
         2
         5
         5
         2
         4
         2
         3
         2
         5
         3
         2
         2
         4
         4
         1
         0
         4
         2
         5
         3
         3
         1
         2
         3
         2
         0
         1
         1
         1
         3
         0
         0
         2
         3
         2
         2
         1
         2
         1
         2
         1
         0
         5
         2
         1
         2
         2
         1
         3
         2
         2
         2
         0
         0
         2
         2
         0
         2
         2
         3
         0
         2
         2
         1
         1
         4
         1
         1
         5
         2
         2
         2
         1
         0
         1
         3
         2
         1
         1
         2
         1
         1
         2
         0
         2
         1
         2
         1
         0
         3
         2
         1
         2
         1
         0
         2
         1
         1
         0
         3
         2
         1
         2
         0
         1
         0
         3
         1
         2
         0
         2
         3
         2
         0
         1
         3
         1
         0
         0
         0
         2
         1
         1
         1
         2
         1
         1
         1
         4
         2
         0
         1
         3
         1
         1
         1
         1
         2
         3
         0
         0
         0
         3
         0
         3
         2
         3
         0
         3
         1
         0
         2
         1
         1
         1
         2
         1
         3
         1
         2
         1
         1
         1
         1
         2
         2
         2
         0
         0
         0
         1
         1
         1
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         4
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         3
         0
         0
         3
         1
         1
         0
         2
         1
         0
         2
         0
         0
         1
         1
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         3
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         0
         1
         1
         1
         1
         1
         1
         2
         1
         2
         1
         0
         0
         2
         2
         3
         1
         1
         2
         0
         1
         0
         3
         0
         3
         2
         1
         1
         1
         2
         1
         3
         4
         0
         4
         0
         0
         5
         4
         0
         1
         2
         1
         3
         2
         2
         2
         1
         2
         4
         2
         4
         1
         0
         2
         1
         5
         2
         2
         4
         2
         1
         2
         0
         1
         0
         0
         2
         3
         3
         0
         3
         1
         0
         1
         3
         4
         1
         1
         0
         0
         0
         2
         5
         3
         5
         4
         6
        14
        41
        40
        56
        48
        86
       114
       300
      1068
       918
       317
       157
        92
        96
        77
        57
        45
        35
        33
        35
        52
        32
        42
        48
        40
        41
        45
        25
        28
        37
        34
        24
        40
        33
        39
        37
        31
        27
        29
        23
        15
        22
        21
        29
        34
        33
        26
        20
        19
        15
        29
        27
        16
        12
        17
        16
        18
        22
        18
        25
        17
        14
        18
        15
        23
        15
         9
        21
        13
        12
        11
        18
        18
         8
        11
        17
        15
        11
        13
         5
        11
        13
         8
         7
        13
        10
         7
         6
         4
        14
        11
         9
         4
        15
         7
        12
        17
         8
         8
         4
         9
        10
         4
         6
        10
         5
         6
         6
         1
         6
        11
        10
         4
         2
         5
         4
         4
         6
         5
         9
         5
         2
         4
         5
         3
         3
         4
         1
         7
         4
         4
         1
         5
         4
         5
         4
         6
         5
         4
         3
         3
         3
         4
         6
         6
         4
         3
         6
         1
         2
         2
         0
         1
         1
         1
         1
         4
         4
         1
         2
         0
         1
         0
         0
         1
         3
         2
         3
         3
         1
         0
         0
         2
         4
         3
         0
         4
         2
         4
         2
         0
         3
         3
         1
         2
         2
         2
         5
         4
         1
         1
         1
         2
         0
         1
         2
         1
         2
         1
         1
         1
         2
         5
         2
         6
         2
         2
         2
         2
         2
         1
         0
         0
         2
         0
         1
         0
         4
         3
         1
         1
         0
         3
         2
         2
         0
         3
         2
         0
         0
         1
         1
         0
         1
         1
         1
         1
         0
         1
         1
         1
         2
         0
         2
         1
         2
         1
         1
         1
         1
         3
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         2
         1
         1
         2
         2
         0
         4
         1
         3
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         3
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         2
         1
         1
         1
         0
         0
         1
         1
         2
         0
         1
         1
         2
         2
         0
         2
         1
         0
         0
         1
         3
         2
         0
         0
         0
         0
         0
         0
         2
         4
         1
         1
         1
         0
         1
         0
         1
         0
         1
         3
         0
         1
         1
         0
         2
         1
         1
         0
         0
         1
         3
         3
         0
         1
         1
         3
         2
         2
         3
         2
         2
         3
         4
         3
         5
         0
         1
         3
         1
         0
         1
         0
         2
         3
         1
         4
         1
         2
         1
         1
         3
         0
         0
         0
         0
         2
         2
         1
         0
         4
         0
         0
         0
         1
         3
         1
         2
         4
         0
         0
         0
         1
         0
         1
         1
         1
         1
         2
         1
         1
         2
         3
         2
         0
         1
         2
         2
         2
         1
         3
         0
         1
         1
         2
         0
         1
         1
         2
         0
         0
         1
         0
         1
         1
         0
         2
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         3
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         0
         1
         1
         0
         1
         2
         1
         0
         1
         0
         1
         2
         0
         5
         0
         1
         1
         1
         0
         0
         2
         0
         1
         1
         0
         1
         0
         1
         0
         0
         2
         1
         5
         1
         0
         2
         0
         1
         1
         2
         1
         2
         0
         2
         1
         1
         3
         1
         1
         4
         0
         2
         0
         0
         1
         0
         1
         5
         0
         1
         0
         0
         1
         3
         0
         1
         1
         0
         1
         0
         3
         1
         0
         1
         0
         1
         2
         1
         0
         2
         0
         1
         2
         0
         0
         0
         0
         0
         0
         3
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         4
         1
         2
         1
         5
         2
         2
         3
         2
         0
         3
         1
         2
         3
         3
         0
         5
         2
         3
         5
         2
         0
         2
         2
         0
         1
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         0
         1
         2
         2
         1
         1
         0
         3
         2
         0
         2
         1
         2
         0
         1
         2
         2
         1
         1
         2
         2
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         2
         1
         2
         1
         0
         1
         0
         0
         2
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         3
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         3
         0
         0
         1
         2
         0
         0
         1
         1
         3
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         2
         0
         2
         1
         1
         3
         1
         2
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         3
         2
         0
         0
         2
         2
         0
         1
         0
         0
         2
         0
         4
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         0
         1
         1
         2
         1
         1
         1
         1
         1
         2
         1
         2
         3
         1
         1
         0
         2
         1
         0
         1
         1
         0
         2
         1
         0
         2
         0
         0
         1
         1
         1
         0
         1
         0
         2
         1
         1
         2
         0
         0
         3
         1
         1
         1
         3
         1
         0
         0
         3
         3
         0
         1
         1
         0
         0
         1
         1
         0
         0
         4
         1
         1
         3
         1
         4
         1
         2
         1
         0
         2
         1
         0
         2
         1
         1
         0
         3
         1
         0
         1
         0
         1
         2
         1
         2
         0
         3
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         2
         2
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         1
         0
         1
         2
         0
         2
         0
         1
         0
         0
         0
         2
         0
         3
         0
         2
         2
         2
         2
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         2
         3
         0
         2
         1
         0
         0
         0
         0
         1
         1
         2
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         2
         2
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         1
         1
         0
         1
         0
         1
         0
         2
         2
         1
         2
         2
         1
         1
         2
         4
         1
         2
         2
         0
         2
         1
         4
         0
         0
         1
         1
         5
         0
         1
         1
         3
         3
         2
         2
         5
         2
         2
         5
         3
         5
         5
         2
         3
         1
         3
         0
         3
         0
         2
         4
         1
         2
         1
         1
         1
         2
         0
         1
         0
         1
         0
         3
         0
         1
         1
         5
         0
         1
         3
         2
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         2
         3
         2
         0
         3
         0
         3
         2
         0
         0
         0
         1
         0
         3
         1
         1
         0
         1
         0
         1
         1
         2
         1
         3
         0
         1
         1
         1
         1
         0
         2
         1
         1
         1
         2
         2
         0
         2
         3
         4
         4
         2
         5
         3
         1
         1
         0
         2
         1
         0
         2
         1
         1
         1
         0
         3
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         2
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         2
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         3
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         2
         3
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         2
         3
         1
         1
         0
         1
         2
         0
         1
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         2
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         2
         2
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         1
         1
         2
         0
         1
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         0
         0
         1
         1
         2
         1
         2
         1
         0
         0
         0
         2
         0
         1
         1
         1
         2
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         1
         2
         0
         2
         2
         0
         0
         2
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         2
         2
         2
         0
         0
         4
         3
         0
         3
         1
         4
         2
         2
         2
         2
         5
         0
         3
         1
         2
         3
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         1
         1
         0
         3
         0
         1
         1
         1
         0
         0
         1
         1
         2
         2
         0
         0
         2
         1
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         3
         0
         0
         3
         2
         2
         2
         0
         1
         2
         5
         3
         5
         5
         1
         1
         1
         1
         0
         0
         2
         1
         3
         0
         1
         2
         1
         1
         0
         1
         0
         0
         1
         0
         1
         5
         2
         2
         2
         2
         1
         1
         3
         2
         1
         2
         0
         3
         2
         1
         1
         0
         1
         0
         1
         0
         2
         3
         2
         1
         1
         0
         0
         0
         1
         0
         3
         0
         0
         2
         0
         0
         0
         1
         0
         2
         1
         0
         1
         1
         1
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         0
         0
         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
         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
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         3
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         1
         1
         2
         3
         0
         2
         7
         6
         2
         3
         0
         2
         5
         2
         4
         3
         3
         3
         4
         2
         1
         1
         2
         4
         1
         1
         0
         1
         2
         1
         2
         0
         2
         1
         2
         2
         0
         2
         1
         1
         0
         2
         2
         1
         1
         3
         0
         0
         1
         0
         2
         1
         2
         2
         3
         1
         1
         1
         2
         1
         0
         2
         1
         0
         0
         0
         2
         3
         0
         0
         2
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         2
         1
         2
         0
         1
         4
         3
         1
         1
         2
         1
         3
         1
         4
         3
         1
         0
         0
         1
         2
         1
         2
         0
         1
         4
         0
         3
         4
         0
         4
         2
         5
         4
         2
         0
         0
         3
         1
         1
         1
         1
         1
         2
         1
         0
         2
         1
         0
         0
         0
         2
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         3
         1
         2
         0
         0
         1
         2
         1
         0
         1
         1
         1
         1
         0
         2
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         2
         2
         0
         1
         1
         0
         0
         0
         1
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         0
         0
         3
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         2
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         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
         2
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         3
         1
         1
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         1
         0
         0
         1
         0
         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
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         2
         1
         1
         1
         1
         2
         0
         1
         0
         0
         0
         0
         3
         2
         1
         1
         0
         0
         1
         1
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         5
         4
         1
         4
         4
         0
         3
         2
         0
         4
         1
         1
         1
         2
         0
         0
         1
         0
         1
         3
         2
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         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
         1
         1
         0
         0
         2
         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
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         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
         0
         0
         0
         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
         0
         1
         1
         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
         0
         3
         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
         2
         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
         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
         2
         0
         1
         0
         2
         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
         1
         0
         0
         2
         0
         7
         2
         6
         4
         2
         3
         3
         4
         1
         2
         1
         2
         0
         1
         3
         1
         1
         2
         1
         1
         2
         1
         2
         1
         7
        28
        26
        10
         8
         2
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         3
         0
         1
         1
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         2
         2
         0
         6
         2
         7
         6
         7
        12
        10
        14
        12
        10
        10
         9
         3
         9
         3
         3
         6
         2
         2
         4
         4
         6
         3
         8
         2
         2
         7
        43
        85
        61
        23
         3
         4
         3
         2
         1
         0
         3
         2
         4
         3
         2
         0
         3
         3
         0
         1
         2
         1
         3
         1
         2
         2
         0
         0
         1
         0
         0
         1
         1
         0
         1
         3
         1
         2
         1
         0
         1
         0
         3
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         3
         0
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         2
         0
         2
         0
         1
         1
         0
         0
         0
         3
         0
         1
         0
         2
         0
         2
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         1
         3
         2
         1
         0
         0
         2
         1
         0
         1
         3
         0
         1
         1
         0
         0
         1
         0
         0
         3
         0
         2
         0
         1
         6
        14
        20
        11
         3
         0
         2
         1
         3
         0
         3
         2
         0
         0
         0
         3
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         3
         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
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         3
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         0
         2
         0
         2
         2
         0
         2
         1
         0
         4
         1
         1
         1
         1
         1
         1
         2
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         4
         0
         1
         3
         3
         9
         7
        16
        17
        20
        21
        31
        38
        28
        34
        27
        22
        20
        10
         9
        14
         8
        11
         5
         5
        11
         7
         2
        15
        17
        14
        16
        11
        10
         8
        12
        45
       190
       239
       154
        55
        24
        16
        12
        12
         3
         8
         3
         5
         4
         1
         4
         4
         2
         3
         5
         4
         5
         2
         2
         0
         4
         6
         4
         3
         5
         3
         4
         2
         0
         1
         1
         3
         6
         1
         3
         1
         3
         2
         3
         1
         2
         4
         0
         2
         4
         0
         1
         1
         2
         1
         4
         3
         1
         3
         2
         0
         3
         4
         0
         1
         4
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         3
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         2
         2
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         3
         1
         1
         1
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         3
         1
         0
         1
         2
         3
        11
        11
        16
        17
        18
        23
        17
        15
        20
         8
         9
         8
         5
        13
         7
         7
         4
         4
         1
         7
         4
         4
         2
         5
        10
         7
         1
         5
         4
         4
         2
        30
       111
       119
        62
        18
         4
        10
         1
         3
         3
         2
         3
         4
         2
         4
         0
         1
         7
         3
         4
         0
         3
         2
         1
         0
         3
         3
         1
         3
         0
         2
         2
         1
         2
         1
         2
         1
         1
         1
         1
         1
         3
         4
         0
         0
         0
         1
         2
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         1
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         4
         4
         2
         5
         4
         2
         5
         7
         5
         5
         0
         4
         4
         1
         0
         2
         1
         1
         0
         2
         2
         2
         1
         3
         4
         1
         0
         1
         4
         2
         0
         6
        17
        38
        35
         9
         2
         2
         2
         0
         2
         1
         0
         0
         1
         2
         1
         1
         0
         1
         2
         1
         1
         0
         1
         0
         1
         1
         0
         2
         1
         1
         0
         0
         0
         1
         1
         1
         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
         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
         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
         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
         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
         1
         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
         1
         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
         1
         0
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         1
         1
         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
         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
         3
         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
         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
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         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
         1
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         5
         5
         0
         3
         5
         1
         1
         3
         0
         1
         2
         4
         1
         1
         2
         0
         0
         0
         0
         1
         1
         2
         1
         1
         0
         3
         4
         0
         1
         2
         1
         0
         3
        13
        24
        18
         6
         2
         1
         2
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         1
         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
         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
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         3
         2
         1
         2
         6
        10
         6
        12
        10
         8
        19
         9
        11
        10
        11
         4
         5
         4
         3
         3
         3
         5
         7
         3
         2
         1
         2
         3
         5
         2
         2
         1
         2
         7
         4
         0
         2
         3
         2
         2
         2
         7
        37
        83
        71
        29
        13
         7
         1
         4
         2
         3
         1
         0
         4
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         1
         2
         1
         2
         2
         0
         2
         3
         1
         0
         0
         0
         1
         2
         3
         4
         0
         0
         0
         0
         2
         0
         2
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         2
         2
         2
         1
         3
         1
         0
         0
         0
         0
         1
         0
         2
         1
         1
         1
         0
         1
         3
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         3
         2
         3
         6
         4
         4
         6
         8
         8
         9
        19
        19
        29
        15
        17
        10
        11
         9
         8
         6
        10
         5
         5
         7
         2
         3
         3
         3
         3
         7
         5
         5
         4
         6
         4
         5
         3
         6
         4
         2
         3
         3
         6
         2
        25
        85
       128
        58
        20
         8
         2
         5
         4
         3
         4
         2
         0
         0
         1
         0
         2
         0
         2
         1
         0
         4
         1
         2
         0
         3
         2
         0
         1
         2
         0
         0
         4
         0
         2
         0
         0
         0
         0
         0
         0
         2
         2
         3
         3
         0
         0
         0
         0
         0
         2
         1
         3
         2
         3
         0
         1
         1
         0
         2
         2
         0
         0
         0
         0
         1
         1
         3
         0
         1
         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
         1
         4
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         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
         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
         0
         1
         0
         0
         0
         1
         1
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         3
         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
         1
         1
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         1
         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
         2
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         1
         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
         1
         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
         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
         1
         0
         0
         0
         1
         1
         1
         0
         4
         1
         5
         3
         3
         5
         1
         1
         5
         2
         1
         3
         0
         1
         0
         0
         4
         1
         0
         0
         0
         0
         0
         2
         2
         4
         0
         0
         2
         0
         0
         0
         2
         0
         3
         0
         1
         0
         0
         0
         1
         0
         4
        14
        21
        19
         8
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         2
         0
         2
         1
         1
         4
         0
         2
         2
         2
         2
         3
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         4
         1
         1
         0
         1
         1
         0
         2
         1
         2
         1
         0
         0
         0
         2
         3
         0
         0
         0
         1
         6
         7
        15
        16
         7
         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
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         0
         2
         3
         1
         0
         3
         1
         3
         2
         5
        11
         8
        16
        14
        21
        18
        22
        11
         8
         8
         7
        10
         4
         5
         6
         6
         1
         5
         2
         4
         2
         5
         2
         1
         1
         3
         3
         2
         3
         4
         1
         1
         1
         2
         4
         2
         2
         1
         3
         1
         2
         5
         1
         1
        17
        58
        65
        65
        25
        10
         2
         4
         0
         0
         2
         3
         0
         1
         0
         2
         1
         1
         1
         0
         0
         0
         1
         1
         2
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         2
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         4
         3
         2
         4
        10
        11
         9
         4
         7
         2
         4
         3
         3
         1
         2
         1
         5
         1
         1
         2
         1
         2
         1
         2
         2
         0
         1
         4
         0
         2
         2
         0
         0
         1
         1
         4
         1
         1
         1
         0
         1
         0
         1
         2
         2
         1
         1
         3
        16
        20
        21
         9
         4
         3
         5
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         3
         0
         0
         1
         2
         2
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         3
         1
         3
         2
         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
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         3
         2
         4
         1
         1
         0
         1
         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
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         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
         2
         0
         1
         1
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         2
         1
         1
         1
         2
         2
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         1
         1
         2
         0
         0
         5
         3
         8
         3
         5
         0
         4
         3
         1
         2
         0
         1
         1
         2
         0
         2
         1
         2
         1
         2
         1
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         1
         0
         0
         3
        17
        12
        11
         5
         2
         0
         0
         2
         0
         1
         0
         0
         0
         0
         2
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         2
         6
         4
         3
         3
         9
         5
         6
         4
         1
         5
         2
         3
         5
         1
         2
         1
         2
         0
         1
         2
         0
         0
         1
         1
         2
         2
         2
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         1
         1
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         1
         2
        19
        20
        16
         0
         2
         3
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         1
         1
         1
         0
         1
         0
         0
         0
         0
         3
         0
         2
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         6
         1
         1
         1
         0
         1
         1
         0
         1
         2
         2
         0
         0
         0
         1
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         2
         5
         3
         1
         1
         1
         0
         0
         1
         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
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         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
         0
         0
         2
         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
         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
         2
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         2
         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
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         2
         3
         2
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         1
         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
         1
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         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
         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
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         2
         3
         3
         0
         1
         1
         0
         1
         1
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         4
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         3
         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
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         5
         0
         2
         1
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         3
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         1
         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
         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
         2
         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
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         1
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         2
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         2
         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
         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
         2
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         1
         2
         2
         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
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         2
         0
         1
         0
         2
         1
         2
         1
         0
         0
         2
         2
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         3
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         2
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         3
         2
         8
         6
         1
         2
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         2
         2
         0
         3
         1
         3
         3
         0
         3
         0
         1
         1
         0
         1
         0
         1
         2
         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
         2
         0
         1
         1
         0
         2
         0
         0
         1
         0
         1
         2
         0
         4
         3
         4
         3
         5
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         4
         2
         2
         1
         4
         2
         3
         2
         5
         1
         1
         1
         1
         0
         1
         1
         2
         1
         0
         3
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         3
         2
         7
        10
         8
         2
         3
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         3
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         2
         4
         1
         1
         2
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         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
         0
         3
         1
         1
         1
         3
         2
         0
         1
         1
         2
         1
         2
         0
         4
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         1
         0
         0
         4
         3
         7
         3
         2
         1
         0
         0
         1
         2
         1
         1
         0
         1
         1
         0
         0
         1
         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
         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
         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
         1
         1
         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
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         6
         3
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         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
         1
         0
         0
         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
         1
         3
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         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
         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
         0
         0
         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
         1
         0
         0
         0
         0
         2
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         3
         0
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         3
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         1
         1
         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
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         3
         2
         0
         1
         0
         1
         2
         1
         3
         2
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         3
         5
         4
         0
         2
         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
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         4
         1
         3
         3
         3
         1
         4
         1
         4
         1
         1
         2
         1
         0
         1
         3
         0
         5
         3
         1
         2
         0
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         2
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         1
         1
         2
         1
         2
         2
         0
         0
         0
         2
         8
         6
        13
         9
         0
         2
         1
         0
         1
         1
         0
         2
         0
         1
         1
         0
         1
         0
         2
         3
         0
         0
         3
         0
         0
         1
         0
         3
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         2
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         3
         2
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         4
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         4
         0
         3
         3
         4
         1
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         1
         1
         0
         0
         0
         0
         2
         3
         5
         5
         4
         4
         2
         4
         3
         5
         6
         3
         1
         1
         0
         1
         4
         1
         1
         1
         2
         1
         1
         0
         2
         4
         2
         0
         0
         1
         0
         1
         0
         0
         3
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         1
         0
         3
         2
         0
         0
         1
         0
         2
         0
         2
         0
         1
         1
         0
         1
         0
         1
         3
         9
        16
        12
        10
        11
        10
         3
         5
         2
         0
         0
         0
         1
         1
         0
         1
         0
         2
         3
         1
         0
         0
         0
         0
         1
         2
         0
         1
         1
         3
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         1
         1
         1
         2
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         7
         6
         1
         0
         0
         1
         1
         2
         0
         3
         1
         1
         2
         0
         3
         1
         4
         4
         3
         1
         2
         4
         1
         1
         3
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         2
         0
         1
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         2
         1
         1
         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
         1
         0
         1
         2
         0
         1
         6
         8
        16
        13
         2
         2
         3
         1
         0
         2
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         2
         0
         1
         0
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         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
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         2
         0
         0
         1
         1
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         3
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         3
         1
         0
         0
         1
         0
         3
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         1
         2
         1
         0
         0
         0
         0
         3
         1
         1
         0
         1
         0
         2
         2
         1
         2
         0
         0
         2
         1
         1
         1
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         2
         0
         0
         1
         1
         2
         7
        10
         4
         2
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         4
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         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
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         1
         3
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         3
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         3
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         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
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         1
         1
         0
         1
         3
         0
         2
         2
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         3
         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
         1
         1
         1
         1
         1
         1
         5
         3
         4
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         2
         1
         2
         0
         0
         1
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         2
         1
         2
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         4
         4
         3
         4
         0
         2
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         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
         1
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         5
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         1
         0
         2
         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
         0
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         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
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         1
         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
         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
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         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
         1
         0
         1
         0
         1
         0
         0
         0
         2
         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
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         1
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         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
         1
         0
         1
         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
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         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
         1
         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
         1
         0
         0
         0
         2
         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
         1
         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
         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
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         1
         3
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         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
         2
         1
         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
         2
         0
         2
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         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
         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
         0
         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
         0
         2
         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
         0
         0
         0
         0
         2
         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
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         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
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         3
         0
         1
         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
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         2
         0
         2
         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
         3
         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
         0
         0
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         3
         4
         2
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         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
         1
         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
         1
         0
         0
         0
         1
         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
         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
         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
         1
         1
         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
         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
         1
         1
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         2
         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
         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
         1
         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
         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
         1
         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
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         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
         2
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         2
         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
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         2
         0
         0
         0
         2
         0
         0
         2
         0
         2
         0
         0
         1
         0
         1
         2
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         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
         1
         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
         2
         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
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         1
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         2
         3
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         1
         1
         0
         2
         2
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         2
         0
         0
         0
         4
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         2
         1
         0
         4
         0
         0
         0
         0
         0
         1
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         1
         2
         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
         0
         1
         0
         0
         0
         2
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         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
         1
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         1
         2
         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
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         1
         0
         0
         1
         0
         3
         0
         2
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         1
         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
         0
         0
         0
         1
         0
         1
         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
         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
         1
         0
         0
         0
         0
         2
         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
         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
         0
         0
         2
         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
         2
         0
         2
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         0
         0
         0
         2
         1
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         2
         1
         3
         1
         0
         1
         2
         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
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         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
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         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
         1
         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
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         2
         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
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         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
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         0
         1
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         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
         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
         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
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         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
         2
         0
         0
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         2
         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
         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
         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
         2
         2
         0
         1
         1
         0
         1
         2
         1
         1
         2
         1
         1
         4
         2
         1
         3
         2
         4
         5
         4
         3
         3
        10
        10
         7
         8
        10
         6
         5
         6
         8
         6
         3
         7
         2
         1
         2
         2
         1
         4
         2
         0
         3
         0
         1
         1
         1
         1
         0
         0
         3
         0
         1
         2
         2
         1
         1
         0
         1
         1
         1
         2
         1
         2
         0
         0
         2
         5
         0
         1
         2
         2
         0
         2
         1
         2
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         3
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         3
         2
         1
         2
        10
        33
        20
        43
        40
        26
        25
        18
         6
         7
         4
         4
         3
         3
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         2
         1
         2
         1
         1
         1
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         1
         2
         1
         0
         2
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         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
         1
         1
         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
         1
         0
         0
         0
         0
         0
         3
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         3
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         2
         1
         1
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         4
         4
         1
         0
         1
         2
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         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
         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
         2
         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
         0
         0
         1
         0
         0
         1
         0
         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
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         2
         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
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         3
         2
         0
         1
         0
         1
         0
         1
         2
         0
         0
         1
         1
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         2
         1
         0
         2
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         3
         0
         0
         2
         1
         2
         4
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         2
         1
         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
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         3
         2
         1
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         8
       118
         2
         2
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
        12
        57
         0
         2
         0
         1
         1
         2
         1
         1
         0
         1
         1
         1
         4
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         8
         2
         2
         0
         1
         1
         0
         0
         0
         0
         3
         2
         0
         0
         0
         8
        59
         2
         1
         3
         1
         1
         0
         1
         0
         1
         1
         1
         2
         4
         2
         4
         4
         4
         1
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         3
         0
         0
         2
         1
         0
         1
         0
         2
         0
         1
         1
         1
         3
         4
         2
         5
         2
         4
         3
         2
         2
         0
         6
         1
         6
         4
         7
         9
        11
         5
         2
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         2
         2
         0
         0
         0
         2
         0
         1
         1
         5
         2
         0
         0
         3
         0
         1
         1
         0
         1
         0
         0
         4
         5
         7
         3
         4
         3
         2
         1
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         2
         2
         0
         2
         0
         3
         0
         1
         0
         2
         0
         2
         0
         0
         2
         2
         9
        17
        17
        15
         4
         5
         6
         0
         1
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         1
         2
         1
         0
         1
         0
         0
         3
         2
         3
         3
         3
         2
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
        12
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         6
        60
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         6
         5
         5
         6
         5
         3
         1
         2
         1
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         4
         2
         1
         3
         3
         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
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         4
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         4
         0
         1
         0
         1
         1
         0
         2
         1
         0
         0
         1
         0
         0
         1
         1
         8
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         4
        58
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         2
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         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
         1
         0
         0
         1
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         8
        55
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         1
         3
         1
         0
         5
        31
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         0
         0
         2
         2
         3
         5
         2
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         9
         0
         0
         0
         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
         1
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         2
         1
         0
         1
         0
         2
        36
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         0
         3
         3
         2
         3
         4
         2
         1
         0
         0
         1
         2
         0
         4
         1
         0
         1
         1
         2
         0
         0
         0
         2
         0
         1
         2
         1
         1
         0
         1
         0
         3
         0
         1
         1
         2
         2
         1
         0
         0
         0
         1
         0
         2
         0
         2
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         4
         2
         0
         3
         5
         0
         0
         1
         1
         1
         1
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         4
         1
         3
         2
         1
         1
         0
         0
         2
         2
         0
         1
         0
         1
         1
         0
         0
         2
         1
         1
         0
         1
         0
         1
         0
         1
         1
         1
         3
         6
         4
         5
         4
         1
         1
         1
         1
         4
         0
         2
         1
         0
         1
         3
         2
         0
         2
         1
         1
         4
         2
         9
         8
         8
         5
         3
         4
         1
         2
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         1
         1
         1
         0
         2
         0
         2
         4
         2
         8
         5
         2
         1
         0
         1
         0
         1
         0
         0
         1
         0
         3
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         5
        14
         1
         3
         0
         3
         0
         3
         4
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         2
         3
         6
         9
        11
         6
         3
         4
         5
         4
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
        14
         0
         0
         1
         1
         2
         1
         0
         3
         2
         3
         0
         1
         0
         1
         2
        10
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         8
         6
         3
         3
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         2
        26
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         4
        13
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         5
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         4
         0
         0
         1
         0
         0
         0
         2
         2
         0
         1
         0
         0
         0
         0
         2
         8
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         1
         0
         3
        34
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         4
        74
         1
         0
         1
         0
         1
         0
         0
         2
         1
         0
         1
         0
         1
         0
         1
         8
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         4
         2
         1
         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
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         1
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         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
         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
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
        30
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         5
        15
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         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
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         2
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         3
         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
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         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
         0
         1
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         1
         1
         1
         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
         1
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         2
         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
         1
         0
         1
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         2
         1
         3
         0
         0
         0
         1
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         3
         1
         3
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         2
         2
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         1
         1
         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
         0
         0
         0
         1
         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
         1
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         1
         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
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         2
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         3
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         1
         1
         0
         1
         2
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         2
         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
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         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
         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
         1
         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
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         3
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         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
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         3
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         1
         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
         2
         1
         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
         1
         0
         1
         1
         0
         1
         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
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         2
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         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
         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
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         2
         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
         1
         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
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         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
         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
         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
         1
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         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
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         2
         1
         0
         1
         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
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         4
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         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
         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
         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
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         3
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         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
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         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
         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
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         5
         6
         4
         8
         2
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         2
         4
         2
         1
         1
         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
         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
         1
         0
         0
         0
         1
         0
         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
         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
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         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
         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
         0
         0
         0
         0
         1
         0
         0
         1
         2
         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
         1
         0
         0
         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
         0
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         2
         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
         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
         1
         1
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         1
         0
         1
         1
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         2
         0
         1
         0
         0
         0
         1
         1
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         1
         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
         1
         1
         0
         2
         2
         2
         2
         2
         0
         2
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         4
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         2
         0
         1
         0
         0
         1
         2
         0
         2
         0
         0
         0
         0
         1
         2
         1
         0
         0
         2
         1
         2
         2
         3
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         3
         1
         2
         1
         3
         2
         2
         0
         2
         2
         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
         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
         2
         2
         1
         1
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         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
         3
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         3
         1
         0
         0
         0
         0
         1
         2
         0
         1
         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
         1
         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
         0
         0
         0
         2
         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
         1
         0
         0
         2
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         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
         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
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         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
         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
         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
         1
         1
         1
         0
         0
         0
         0
         1
         1
         1
         1
         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
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         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
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         1
         0
         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
         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
         3
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         3
         1
         1
         1
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         1
         0
         2
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         3
         0
         2
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         3
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         1
         0
         0
         3
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         3
         3
         0
         2
         4
         3
         0
         0
         0
         1
         1
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         3
         0
         1
         1
         4
         1
         2
         0
         0
         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
         0
         0
         1
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         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
         1
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         2
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         1
         1
         1
         0
         1
         2
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         1
         1
         1
         1
         0
         0
         2
         0
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         4
         1
         3
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         3
         3
         1
         0
         0
         1
         0
         2
         1
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         1
         1
         2
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         5
         4
         0
         2
         3
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         4
         1
         3
         4
         1
         3
         1
         2
         3
         0
         1
         0
         0
         0
         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
         3
         0
         1
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         1
         3
         0
         0
         4
         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
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         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
         1
         0
         0
         1
         2
         1
         0
         2
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         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
         1
         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
         0
         0
         1
         0
         3
         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
         2
         0
         1
         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
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         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
         1
         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
         1
         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
         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
         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
         2
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         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
         0
         0
         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
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         1
         0
         1
         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
         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
         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
         1
         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
         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
         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
         1
         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
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         1
         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
         0
         1
         0
         0
         2
         1
         0
         1
         2
         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
         1
         1
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         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
         0
         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
         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
         0
         0
         1
         0
         0
         1
         0
         1
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         1
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         2
         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
         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
         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
         1
         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
         1
         0
         1
         0
         1
         0
         0
         1
         1
         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
         1
         1
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         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
         1
         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
         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
         0
         0
         1
         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
         2
         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
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         2
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         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
         1
         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
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         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
         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
         2
         0
         1
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         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
         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
         2
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         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
         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
         2
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         0
         0
         1
         2
         1
         5
         0
         1
         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
         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
         1
         1
         1
         2
         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
         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
         1
         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
         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
         1
         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
         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
         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
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         3
         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
         1
         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
         1
         0
         1
         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
         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
         0
         0
         0
         1
         0
         1
         0
         2
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         0
         0
         0
         0
         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
         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
         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
         1
         1
         2
         0
         0
         1
         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
         2
         0
         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
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         1
         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
         1
         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
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         1
         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
         1
         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
         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
         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
         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
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         1
         2
         0
         0
         0
         0
         0
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         1
         0
         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
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         3
         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
         0
         1
         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
         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
         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
         1
         0
         1
         0
         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
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         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
         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
         0
         0
         0
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         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
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         3
         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
         0
         0
         1
         0
         2
         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
         1
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         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
         1
         0
         2
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         2
         0
         0
         1
         1
         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
         2
         2
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         4
         0
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         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
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         4
         1
         0
         1
         1
         1
         3
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         3
         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
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         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
         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
         0
         1
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         1
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         2
         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
         1
         0
         0
         0
         2
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         3
         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
         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
         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
         1
         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
         1
         0
         1
         0
         0
         1
         0
         1
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         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
         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
         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
         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
         2
         0
         0
         1
         0
         1
         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
         3
         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
         1
         1
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         1
         0
         1
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         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
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         2
         1
         1
         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
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         1
         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
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         2
         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
         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
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         0
         0
         0
         0
         2
         1
         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
         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
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         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
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         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
         1
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         2
         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
         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
         1
         0
         0
         1
         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
         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
         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
         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
         1
         0
         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
         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
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         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
         1
         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
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         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
         0
         0
         0
         0
         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
         1
         0
         0
         0
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         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
         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
         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
         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
         2
         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
         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
         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
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         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
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         1
         0
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         2
         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
         1
         1
         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
         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
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         1
         1
         1
         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
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         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
         1
         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
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         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
         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
         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
         2
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         2
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         3
         1
         1
         0
         0
         0
         2
         1
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         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
         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
         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
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         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
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         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
         2
         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
         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
         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
         0
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         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
         1
         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
         1
         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
         1
         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
         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
         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
         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
         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
         0
         1
         0
         0
         0
         0
         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
         0
         0
         2
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         1
         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
         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
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         1
         0
         1
         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
         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
         0
         1
         1
         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
         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
         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
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         1
         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
         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
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         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
         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
         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
         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
         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
         0
         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
         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
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         2
         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
         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
         2
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         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
         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
         1
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         2
         0
         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
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         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
         1
         2
         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
         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
         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
         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
         0
         1
         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
         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
         0
         0
         0
         2
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         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
         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
         0
         1
         0
         0
         1
         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
         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
         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
         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
         1
         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
         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
         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
         1
         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
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         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
         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
         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
         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
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         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
         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
         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
         0
         0
         1
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         2
         1
         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
         1
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         0
         1
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         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
         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
         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
         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
         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
         1
         1
         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
         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
         0
         0
         1
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         3
         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
         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
         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
         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
         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
         1
         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
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         1
         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
         1
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         2
         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
         1
         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
         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
         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
         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
         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
         1
         0
         0
         1
         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
         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
         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
         2
         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
         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
         0
         0
         0
         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
         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
         3
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         2
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         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
         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
         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
         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
         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
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         2
         0
         0
         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
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         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
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         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
         2
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         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
         1
         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
         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
         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
         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
         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
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         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
         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
         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
         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
         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
         1
         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
         1
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         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
         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
         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
         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
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         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
         0
         1
         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
         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
         1
         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
         1
         2
         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
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         2
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         1
         0
         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
         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
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         2
         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
         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
         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
         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
         0
         0
         1
         0
         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
         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
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         1
         1
         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
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         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
         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
         1
         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
         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
         0
         0
         0
         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
         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
         1
         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
         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
         2
         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
         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
         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
         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
         2
         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
         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
         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
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         2
         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
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         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
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         1
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         2
         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
         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
         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
         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
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         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
         0
         1
         0
         2
         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
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         0
         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
         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
         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
         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
         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
         2
         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
         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
         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
         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
         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
         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
         1
         0
         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
         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
         1
         0
         1
         0
         0
         1
         0
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         2
         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
         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
         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
         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
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         0
         0
         1
         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
         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
         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
         2
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         2
         0
         0
         1
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         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
         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
         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
         1
         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
         1
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         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
         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
         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
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         1
         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
         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
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         1
         0
         0
         1
         0
         2
         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
         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
         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
         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
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         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
         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
         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
         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
         1
         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
         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
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         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
         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
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         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
         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
         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
         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
         1
         0
         1
         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
         1
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         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
         2
         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
         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
         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
         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
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         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
         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
         1
         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
         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
         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
         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
         1
         1
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         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
         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
         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
         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
         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
         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
         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
         2
         1
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         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
         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
         0
         0
         0
         2
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         1
         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
         0
         0
         1
         1
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         1
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         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
         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
         0
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         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
         2
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         1
         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
         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
         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
         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
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         1
         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
         2
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         1
         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
         1
         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
         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
         2
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         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
         1
         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
         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
         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
         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
         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
         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
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         2
         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
         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
         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
         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
         0
         0
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         0
         0
         1
         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
         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
         1
         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
         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
         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
         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
         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
         1
         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
         2
         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
         1
         0
         0
         1
         0
         1
         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
         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
         1
         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
         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
         1
         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
         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
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         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
         1
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         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
         0
         0
         0
         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
         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
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         1
         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
         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
         0
         0
         0
         0
         1
         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
         1
         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
         1
         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
         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
         1
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         1
         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
         1
         0
         0
         2
         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
         1
         0
         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
         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
         1
         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
         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
         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
         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
         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
         1
         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
         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
         1
         1
         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
         1
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         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
         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
         1
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         0
         0
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         2
         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
         1
         0
         1
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         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
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         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
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         0
         1
         0
         0
         1
         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
         1
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         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
         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
         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
         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
         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
         0
         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
         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
         1
         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
         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
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         1
         0
         1
         1
         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
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         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
         1
         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
         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
         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
         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
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         1
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         2
         0
         0
         0
         1
         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
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         2
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         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
         1
         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
         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
         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
         1
         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
         1
         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
         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
         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
         1
         1
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         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
         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
         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
         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
         1
         0
         0
         1
         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
         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
         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
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         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
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         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
         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
         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
         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
         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
         1
         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
         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
         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
         1
         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
         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
         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
         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
         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
         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
         1
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         1
         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
         1
         0
         0
         1
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         1
         1
         1
         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
         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
         1
         0
         1
         0
         0
         0
         1
         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
         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
         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
         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
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         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
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         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
         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
         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
         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
         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
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         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
         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
         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
         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
         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
         0
         1
         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
         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
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         0
         0
         1
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         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
         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
         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
         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
         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
         1
         2
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         1
         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
         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
         1
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         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
         2
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         1
         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
         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
         1
         3
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         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
         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
         1
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1