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_20020616T160813_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_20020616T160813_SP_N"
PRODUCT_CREATION_TIME           = 2006-10-09T20:44:44
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                      = 2002-06-16T16:08:13
STOP_TIME                       = 2002-06-16T16:10:58
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      = 5400
ROSETTA:COSIMA_SUBSTRATE_Y      = 820
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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         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
         1
         0
         2
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         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
         1
         0
         2
         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
         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
         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
         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
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         2
         0
         0
         1
         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
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         2
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
     69999
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
     69999
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
     69998
         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
         1
         0
         0
         0
         0
         0
     69998
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         2
         0
         1
         1
         1
         1
         1
         0
         0
         0
         1
         2
         1
         4
         1
         3
         1
         2
         2
         2
         6
         4
         4
         5
         1
        10
         3
         3
         4
         6
         1
         1
         5
         7
         3
         1
         1
         4
         0
         2
         1
         4
         2
         1
         2
         1
         1
         0
         3
         0
         2
         4
         1
         2
         1
         0
         1
         1
         1
         1
         0
         2
         1
         3
         1
         3
         0
         0
         2
         2
         2
         1
         1
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         2
         1
         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
         2
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         2
         1
         1
         2
         2
         5
         2
         1
         2
         1
         1
         4
         3
         4
         3
         1
         5
         3
         0
         9
         2
         4
         3
         3
         5
         4
         6
         6
         7
        10
         4
         6
         6
        10
        10
        13
         6
        11
         9
        17
        10
         4
         7
         7
         7
         6
        10
         4
         4
        10
         2
         9
         4
         4
         5
         7
         3
         6
         5
         2
         8
         6
         2
         1
         4
         8
        13
         4
         3
         3
         5
         1
         8
         5
         5
         6
         3
         7
         5
         1
         4
         6
         4
         4
         2
         4
         2
         2
         1
         2
         2
         4
         4
         2
         1
         0
         2
         2
         1
         1
         0
         1
         3
         2
         0
         3
         2
         2
         1
         0
         2
         0
         2
         0
         1
         2
         2
         1
         1
         1
         0
         1
         0
         1
         1
         1
         0
         0
         3
         1
         1
         0
         1
         2
         2
         2
         1
         2
         1
         3
         3
         0
         2
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         2
         1
         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
         1
         1
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
        19
       255
      1005
      1267
      1012
       773
       856
       959
      1134
      1290
      1281
      1386
      1451
      1486
      1515
      1587
      1569
      1703
      1780
      1910
      2073
      2001
      2166
      2359
      2341
      2416
      2277
      2745
      5586
      5161
      2550
      1992
      3881
      9574
      4301
      1760
      1639
       599
       688
       615
       554
       527
       472
       507
       511
       584
       685
       894
      1159
      1381
      1449
      1535
      1530
        49
      1015
      1140
      1485
      1626
      1542
      1585
      1391
      1547
      1617
      1889
      2183
      1773
      1621
      1561
      1604
       290
      1638
      1642
      1600
      1401
      1339
      1373
      1389
      1587
      1481
      1388
      1310
      1308
      1394
      1254
      1476
       501
      1217
      1200
      1152
      1230
      1074
      1144
      1152
      1255
      1174
      1059
       967
      1032
      1213
      1199
      1254
       587
       987
       936
       890
      1035
      1008
       979
       913
       864
       879
       845
       891
       959
       821
       811
       719
       492
       776
       717
       685
       673
       626
       658
       646
       615
       625
       723
       572
       605
      1160
       489
       558
       632
       505
       574
       466
       538
       471
       430
       535
       454
       477
       429
       433
       428
       409
       422
       472
       342
       363
       427
       358
       338
       329
       405
       309
       329
       356
       317
       289
       312
       329
       332
       294
       283
       313
       284
       299
       302
       233
       260
       292
       267
       245
       275
       263
       262
       265
       236
       266
       201
       212
       231
       251
       215
       205
       182
       192
       191
       193
       184
       154
       173
       182
       180
       157
       154
       137
       146
       126
       153
       125
       137
       112
       128
       118
       112
       115
       103
       109
        93
       117
        88
       114
       103
        93
       102
       110
        92
        86
        77
        88
        87
        86
        70
        77
        68
        87
        72
        81
        68
        77
        58
        70
        64
        53
        53
        47
        52
        59
        52
        39
        57
        52
        52
        53
        59
        49
        64
        39
        40
        37
        29
        41
        33
        49
        44
        40
        40
        45
        45
        35
        33
        40
        33
        29
        30
        24
        49
        29
        28
        33
        29
        25
        29
        23
        28
        38
        25
        26
        16
        17
        28
        24
        25
        31
        22
        28
        23
        20
        31
        18
        24
        19
        21
         8
        20
        15
         6
        14
        21
        16
        14
        20
        10
        22
        15
        15
        11
        14
        22
        13
        21
         9
        11
        13
        10
        21
        10
         7
         7
        14
        13
         7
         6
         9
        10
         8
         9
         7
         6
         9
        12
        12
        11
         8
         9
        11
         5
        11
         8
        10
         7
         9
         6
        12
         5
         7
         8
         9
         6
         4
         5
         2
         8
        10
         7
        12
         9
        10
         9
         4
         6
         2
         4
         2
         3
         4
         3
         6
         9
         4
         4
         5
         4
         3
         2
         1
         7
         1
         4
         2
         5
         9
         6
         5
         5
         7
         6
         6
         6
         3
         7
        10
         7
         8
         7
         3
        11
        12
        14
        16
        14
        11
         9
        11
        10
        10
         7
        15
        11
         9
         5
         7
         7
         4
        10
         6
         9
         5
         7
         5
        11
         7
         1
         5
         6
         5
         2
         4
         2
         4
         4
         3
         3
         4
         4
         5
         7
         5
         5
         5
         7
         3
         2
         5
         4
         7
         2
         0
         3
         1
         2
         2
         0
         2
         4
         5
         2
         1
         2
         4
         1
         5
         5
         3
         4
         0
         2
         0
         2
         3
         1
         3
         3
         2
         1
         2
         2
         1
         2
         1
         3
         2
         3
         2
         1
         4
         2
         2
         3
         5
         1
         1
         1
         3
         1
         1
         4
         3
         2
         4
         3
         5
         1
         4
         3
         6
         1
         2
         4
         6
         6
         4
         7
         6
         7
         8
         7
         7
         3
         4
         3
         5
         8
         3
         5
         5
         5
         6
         5
         7
         6
         6
         5
         5
         8
         8
         4
         3
         4
         4
         9
         6
         6
         8
         3
         4
         6
         5
         4
         3
         4
         3
         2
         8
         6
         2
         5
         5
         9
         3
         4
         4
        12
         5
         7
        15
         8
        10
        14
         8
        11
         8
         6
        15
         8
        14
        13
        10
        16
         8
        15
        20
        23
        11
        22
        15
        10
         9
        15
        18
        12
        13
         8
         6
        14
         8
        16
        14
        11
         9
         8
        11
         7
         8
        11
        10
         9
        15
         8
         5
         5
         6
         7
        10
         4
         9
        10
         6
        10
         6
        13
         4
        10
        11
         5
         8
         3
         7
        10
         5
         4
         5
         9
         3
         9
         8
         4
         6
         9
         5
         5
         7
         7
         5
         4
         2
         8
         3
         2
         5
         9
         5
         6
         5
         4
         2
         4
         3
         1
         4
         2
         3
         4
         3
         4
         2
         4
         3
         4
         5
         2
         7
         2
         5
         6
         4
         8
         6
         5
         3
         9
         2
         8
         4
         6
         8
        15
        25
        23
        39
        48
        77
        89
        36
        22
        21
        22
        12
        23
        21
        21
        16
        17
        14
        18
        17
        16
        16
        15
        19
        15
        10
        18
        15
         9
        15
        15
        11
        15
        10
        11
        21
        17
        16
         9
        17
        17
        10
        16
        10
        13
        12
        14
        19
         9
        10
        13
         9
        12
         8
         8
         8
        10
         6
         6
         9
         9
         8
         4
         7
        16
        10
        10
         3
        10
         5
         7
         6
         4
         4
         4
        10
         8
         6
         8
         4
         3
        10
         9
         6
         7
         6
         6
        10
         3
         4
         3
         3
         2
         6
         3
         5
         3
         5
         3
         1
         3
         2
         8
         2
         4
         2
         1
         6
         7
         3
         3
         5
         1
         2
         3
         4
         3
         4
         4
         3
         9
         2
         6
         0
         2
         1
         3
         4
         3
         6
         6
         3
         2
         5
         5
         3
         6
         3
         2
         5
         7
         6
         4
         5
         2
         3
         3
         3
         7
         3
         1
         4
         6
         3
         8
         8
         3
         7
         4
         5
         7
         6
         2
         5
         5
        11
         5
         2
         6
         5
         7
         0
         4
         2
         2
         4
         5
         4
         8
         0
         6
         2
         5
         3
         4
         2
         5
         1
         3
         1
         4
         2
         1
         4
         2
         5
         3
         4
         4
         4
         2
         2
         4
         5
        11
         5
         1
         2
         1
         0
         3
         3
         1
         3
         3
         3
         3
         3
         6
         4
         2
         2
         1
         4
         5
         3
         4
         1
         1
         4
         6
         7
         5
         0
         7
         6
         5
         5
         1
         4
         7
         3
         4
         2
         1
         1
         4
         3
         3
         3
         4
         2
         0
         4
         0
         4
         1
         1
         2
         0
         2
         3
         3
         6
         4
         1
         0
         2
         2
         1
         6
         4
         2
         1
         1
         4
         1
         2
         1
         2
         3
         1
         0
         2
         1
         2
         0
         4
         2
         4
         1
         1
         3
         5
        17
        62
        77
        54
        36
        28
        15
        14
        18
        19
        17
        15
        11
        18
        20
        11
         7
        12
         4
         4
         8
         6
         4
         4
         6
         6
         9
         6
         7
         4
         7
         6
         6
         6
         4
         5
         5
         7
         6
         3
         3
         5
         4
         5
         3
         5
         3
         7
         4
         5
         2
         4
         1
         5
         4
         3
         5
         1
         2
         6
         2
         4
         4
         4
         4
         5
         4
         3
         5
         1
         0
         4
         4
         5
         3
         3
         1
         4
         2
         4
         2
         4
         4
         5
         6
         5
         2
         2
         2
         2
         5
         3
         3
         1
         2
         2
         3
         2
         3
         1
         3
         3
         3
         2
         4
         3
         2
         3
         1
         2
         6
         1
         3
         4
         2
         0
         3
         2
         4
         3
         6
         4
         5
         3
         2
         2
         1
         2
         0
         2
         2
         1
         2
         3
         1
         1
         3
         0
         3
         3
         2
         3
         5
         2
         1
         2
         2
         0
         1
         4
         0
         2
         3
         0
         1
         1
         2
         0
         3
         3
         1
         1
         1
         2
         0
         0
         2
         1
         3
         1
         1
         4
         2
         2
         3
         2
         1
         0
         1
         1
         0
         1
         3
         1
         2
         3
         2
         0
         0
         1
         3
         3
         0
         1
         3
         0
         0
         4
         3
         1
         2
         1
         3
         0
         2
         0
         2
         3
         4
         3
         2
         3
         1
         2
         2
         1
         2
         1
         2
         2
         2
         2
         1
         3
         1
         0
         1
         1
         3
         3
         2
         0
         5
         1
         3
         2
         4
         1
         4
         0
         0
         2
         2
         2
         2
         6
         1
         3
         1
         3
         3
         0
         5
         4
         2
         1
         4
         3
         1
         2
         2
         2
         1
         3
         1
         5
         3
         3
         0
         2
         2
         1
         6
         4
         3
         2
         2
         2
         1
         3
         0
         1
         1
         5
         3
         2
         3
         3
         3
         2
         4
         1
         0
         1
         1
         1
         0
         3
         1
         0
         1
         2
         0
         2
         1
         0
         2
         4
         2
         1
         0
         1
         3
         2
         2
         2
         0
         1
         0
         3
         0
         1
         2
         4
         1
         3
         1
         0
         1
         1
         0
         0
         3
         2
         2
         1
         2
         3
         0
         1
         1
         1
         3
         3
         2
         1
         3
         2
         1
         1
         2
         2
         2
         2
         2
         1
         2
         1
         0
         1
         2
         1
         0
         1
         2
         2
         2
         1
         2
         2
         1
         6
         2
         2
         1
         2
         1
         1
         1
         1
         0
         2
         4
         2
         1
         0
         3
         1
         2
         0
         1
         2
         2
         1
         2
         3
         3
         0
         0
         5
         1
         3
         0
         1
         3
         1
         4
         1
         3
         3
         3
         0
         2
         1
         4
         0
         2
         1
         0
         0
         2
         2
         1
         1
         0
         2
         3
         0
         3
         0
         2
         1
         0
         0
         3
         1
         0
         2
         2
         2
         2
         1
         3
         5
         1
         0
         1
         1
         3
         1
         2
         0
         0
         2
         2
         0
         1
         1
         1
         1
         2
         2
         2
         1
         0
         1
         3
         2
         1
         1
         2
         2
         1
         2
         2
         0
         1
         1
         1
         0
         1
         3
         1
         1
         1
         1
         1
         1
         0
         1
         1
         0
         3
         2
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         1
         0
         1
         2
         1
         1
         1
         2
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         2
         2
         1
         0
         0
         2
         1
         1
         0
         0
         1
         1
         1
         1
         2
         1
         1
         3
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         3
         2
         0
         3
         1
         1
         0
         1
         1
         2
         2
         1
         0
         2
         3
         1
         0
         1
         0
         2
         4
         1
         1
         1
         1
         2
         2
         2
         4
         2
         0
         1
         2
         2
         3
         2
         3
         1
         2
         1
         3
         2
         0
         1
         2
         2
         4
         4
         1
         0
         0
         4
         5
         5
         1
         7
         3
        23
        60
        58
        46
        70
        83
       147
       258
      1124
      1251
       509
       210
       126
        89
        76
        60
        54
        56
        43
        51
        47
        45
        35
        40
        40
        42
        49
        38
        41
        41
        45
        30
        56
        40
        40
        43
        49
        26
        45
        35
        31
        26
        35
        19
        36
        27
        34
        21
        19
        24
        24
        22
        22
        22
        20
        13
        20
        20
        12
        23
         8
        19
        14
        17
        18
        18
        11
        13
        11
         8
        15
        18
        15
        11
        19
        18
        13
        13
         8
        16
        19
        19
        17
         9
        14
         9
        12
         9
         9
        20
        13
         9
        11
         1
         9
         4
         7
         4
         8
        11
         6
         5
         7
         8
         6
         6
         5
         6
         4
         5
        14
        10
         5
         5
         8
         6
         1
         4
         2
         4
         5
         1
         7
         4
         6
         7
         4
         7
         4
         6
         6
         4
         7
         4
         2
         6
         2
         8
         3
         2
         4
         1
         7
         2
         3
         5
         3
         3
         4
         0
         5
         2
         3
         4
         2
         3
         3
         2
         4
         1
         1
         2
         4
         2
         3
         3
         2
         3
         2
         3
         2
         2
         1
         2
         4
         4
         3
         2
         6
         2
         1
         4
         4
         5
         4
         1
         2
         1
         1
         6
         1
         0
         3
         3
         1
         1
         1
         0
         0
         4
         3
         2
         3
         1
         1
         2
         3
         1
         0
         0
         1
         1
         0
         0
         2
         1
         2
         1
         1
         1
         1
         0
         2
         1
         1
         1
         5
         3
         0
         2
         2
         0
         2
         1
         1
         1
         0
         0
         1
         1
         2
         1
         3
         2
         1
         0
         2
         0
         0
         1
         0
         1
         1
         1
         1
         1
         2
         0
         0
         2
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         1
         1
         2
         2
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         2
         0
         1
         2
         0
         2
         0
         2
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         1
         0
         2
         0
         2
         1
         0
         1
         0
         2
         0
         0
         0
         1
         0
         2
         0
         2
         1
         1
         1
         1
         1
         2
         1
         0
         1
         1
         0
         3
         1
         2
         3
         2
         2
         1
         1
         1
         0
         0
         1
         1
         1
         1
         2
         1
         2
         2
         1
         2
         1
         1
         0
         1
         1
         2
         0
         3
         2
         0
         0
         0
         1
         3
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         2
         1
         2
         1
         1
         2
         0
         1
         1
         0
         2
         0
         1
         2
         0
         0
         3
         0
         2
         0
         1
         1
         1
         2
         0
         0
         0
         0
         2
         0
         0
         2
         0
         3
         1
         1
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         1
         1
         1
         2
         1
         1
         3
         1
         1
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         4
         1
         1
         1
         2
         1
         0
         3
         0
         0
         3
         1
         1
         2
         1
         2
         2
         0
         0
         1
         1
         1
         2
         0
         2
         1
         1
         1
         2
         2
         1
         1
         0
         1
         1
         2
         2
         2
         1
         2
         0
         1
         3
         2
         1
         1
         2
         1
         2
         2
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         0
         1
         1
         1
         2
         2
         1
         0
         3
         4
         2
         0
         3
         1
         0
         1
         0
         0
         0
         1
         1
         3
         0
         1
         3
         2
         3
         1
         5
         2
         1
         1
         2
         2
         1
         2
         1
         2
         3
         1
         1
         1
         0
         4
         0
         3
         1
         1
         0
         1
         0
         1
         0
         2
         0
         1
         1
         0
         2
         2
         2
         1
         2
         0
         1
         0
         0
         2
         1
         0
         0
         0
         2
         0
         0
         2
         1
         1
         0
         1
         3
         0
         0
         1
         0
         1
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         2
         0
         0
         0
         1
         3
         0
         2
         0
         1
         0
         0
         0
         2
         1
         2
         1
         1
         0
         2
         1
         1
         0
         1
         0
         0
         3
         1
         2
         0
         1
         1
         1
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         3
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         1
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         4
         1
         2
         4
         3
         2
         3
         0
         1
         0
         0
         1
         0
         1
         3
         5
         0
         3
         2
         1
         2
         0
         0
         1
         2
         0
         1
         1
         2
         1
         1
         1
         0
         0
         1
         2
         1
         0
         1
         0
         0
         0
         1
         0
         3
         0
         2
         2
         0
         2
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         3
         0
         1
         2
         1
         3
         2
         0
         0
         0
         2
         4
         0
         1
         3
         2
         2
         2
         3
         4
         5
         1
         0
         1
         0
         1
         2
         1
         0
         1
         1
         1
         1
         2
         1
         0
         3
         3
         1
         3
         1
         0
         1
         0
         3
         0
         1
         0
         0
         1
         1
         0
         1
         2
         0
         1
         0
         0
         0
         2
         0
         2
         0
         0
         0
         2
         1
         2
         2
         0
         1
         2
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         2
         2
         0
         0
         1
         1
         1
         2
         1
         2
         3
         1
         1
         0
         2
         3
         1
         0
         1
         0
         1
         1
         2
         1
         1
         2
         1
         0
         1
         0
         0
         1
         2
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         2
         0
         2
         0
         0
         1
         1
         1
         0
         1
         0
         3
         0
         0
         2
         2
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         3
         1
         0
         0
         0
         0
         3
         1
         0
         1
         2
         0
         3
         1
         0
         1
         3
         1
         1
         3
         1
         2
         1
         1
         0
         1
         2
         3
         0
         2
         4
         5
         2
         3
         1
         6
         3
         1
         2
         5
         5
         2
         8
         5
         3
         8
         4
         2
         2
         0
         2
         2
         2
         1
         2
         3
         2
         1
         1
         1
         2
         0
         3
         1
         1
         2
         3
         1
         2
         0
         2
         2
         5
         0
         0
         1
         0
         0
         0
         2
         3
         2
         1
         2
         2
         2
         2
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         4
         1
         3
         0
         0
         2
         0
         1
         1
         0
         1
         3
         1
         1
         1
         0
         1
         0
         0
         1
         2
         1
         2
         2
         2
         1
         1
         2
         4
         2
         2
         3
         7
         6
         4
         3
         1
         2
         2
         0
         0
         2
         1
         0
         2
         3
         1
         1
         2
         1
         0
         0
         2
         0
         0
         1
         1
         0
         1
         0
         1
         2
         2
         0
         2
         2
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         2
         1
         2
         1
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         2
         1
         0
         0
         2
         0
         0
         2
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         2
         1
         1
         2
         1
         1
         1
         0
         4
         2
         0
         1
         0
         0
         1
         1
         0
         2
         2
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         1
         2
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         4
         1
         1
         2
         0
         1
         2
         2
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         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
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         1
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         1
         0
         0
         1
         3
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         1
         2
         3
         2
         1
         0
         1
         1
         4
         1
         1
         3
         2
         5
         2
         4
         0
         0
         3
         0
         1
         0
         1
         2
         1
         0
         0
         2
         0
         1
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         2
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         3
         1
         1
         2
         1
         0
         1
         3
         2
         2
         5
         4
         0
         1
         7
         1
         0
         2
         2
         1
         1
         0
         0
         1
         0
         1
         2
         0
         1
         0
         0
         1
         0
         1
         1
         2
         4
         3
         0
         3
         1
         2
         1
         3
         1
         3
         0
         2
         1
         3
         0
         2
         3
         1
         2
         0
         0
         3
         0
         2
         1
         1
         0
         0
         1
         1
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         2
         0
         1
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         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
         2
         0
         0
         0
         1
         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
         1
         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
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         2
         0
         0
         1
         0
         0
         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
         1
         1
         1
         0
         1
         4
         2
         5
         3
         3
         4
         0
         5
         2
         6
         2
         4
         4
         5
         4
         3
         4
         1
         0
         2
         3
         0
         6
         1
         1
         1
         2
         2
         1
         5
         1
         1
         0
         1
         0
         1
         1
         3
         3
         0
         2
         0
         2
         3
         1
         2
         1
         0
         2
         2
         0
         0
         1
         2
         2
         0
         0
         2
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         1
         2
         0
         1
         1
         1
         1
         2
         0
         0
         0
         0
         0
         1
         1
         2
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         5
         1
         2
         2
         2
         5
         1
         2
         2
         1
         4
         1
         1
         1
         2
         1
         1
         0
         2
         2
         1
         0
         3
         3
         0
         1
         2
         3
         2
         2
         5
         3
         2
         2
         0
         0
         0
         0
         0
         2
         2
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         2
         0
         1
         2
         0
         2
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         2
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         2
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         4
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         3
         2
         1
         0
         1
         0
         2
         1
         1
         0
         1
         0
         0
         1
         1
         0
         1
         2
         1
         1
         1
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         2
         2
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         1
         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
         0
         0
         1
         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
         2
         0
         0
         0
         0
         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
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         4
         3
         1
         6
         2
         1
         1
         3
         0
         2
         2
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         2
         2
         1
         6
         2
         0
         4
         0
         2
         3
         2
         2
         2
         2
         1
         1
         3
         2
         1
         0
         2
         1
         0
         0
         1
         0
         1
         3
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         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
         2
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         2
         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
         2
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         2
         2
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         6
         3
         4
         5
         4
         5
         2
         2
         2
         2
         0
         2
         2
         1
         1
         4
         3
         2
         3
         1
         3
         1
         4
        34
        33
        21
         3
         1
         0
         2
         0
         1
         0
         3
         1
         1
         2
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         3
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         1
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         4
         2
         4
         6
        12
         7
        10
        21
        13
        15
        15
         9
        12
         5
         7
         1
         7
         5
         2
         2
         3
         9
         7
         5
         4
         5
         1
         0
        16
        71
        98
        58
        32
        12
         4
         2
         2
         4
         1
         1
         2
         4
         4
         3
         2
         3
         4
         6
         0
         2
         2
         2
         2
         1
         2
         1
         0
         0
         1
         1
         2
         0
         1
         0
         1
         0
         2
         2
         2
         1
         1
         2
         1
         3
         2
         1
         1
         1
         1
         0
         1
         0
         3
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         3
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         2
         2
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         1
         1
         0
         1
         0
         1
         0
         2
         3
         1
         1
         2
         0
         2
         6
         3
         4
         3
         7
         1
         3
         0
         1
         1
         2
         3
         1
         0
         2
         1
         2
         2
         1
         0
         1
         3
        10
        26
        19
         9
         4
         1
         0
         1
         0
         0
         0
         2
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         2
         1
         3
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         2
         1
         1
         0
         1
         2
         1
         2
         0
         2
         1
         0
         0
         0
         0
         2
         0
         0
         0
         2
         2
         0
         1
         1
         0
         2
         0
         5
         6
         3
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         3
         1
         0
         0
         0
         2
         1
         2
         0
         1
         3
         2
         1
         0
         1
         2
         2
         1
         0
         0
         1
         0
         1
         1
         1
         3
         0
         4
         3
         2
         2
         0
         0
         0
         1
         1
         2
         1
         1
         1
         2
         0
         4
         0
         1
         0
         1
         2
         2
         0
         2
         3
         6
        16
         9
        19
        22
        34
        29
        45
        38
        27
        31
        24
        13
        17
        19
        19
        14
         9
        18
        10
         5
         4
         6
        10
        19
        20
        15
        12
         9
        14
         5
        67
       237
       256
       192
        71
        28
        16
         7
         7
        13
         7
         6
         5
         4
         6
         3
         4
         2
         1
         5
         6
         2
         7
         5
         5
         2
         4
         3
         4
         1
         4
         5
         5
         2
         3
         3
         6
         3
         1
         2
         3
         3
         3
         5
         0
         2
         1
         3
         1
         5
         1
         4
         2
         2
         1
         0
         0
         2
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         2
         1
         0
         2
         1
         0
         2
         0
         2
         0
         2
         0
         1
         2
         1
         2
         0
         1
         2
         0
         2
         0
         1
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         2
         2
         0
         0
         1
         0
         1
         0
         1
         0
         1
         5
         0
         2
         0
         1
         2
         0
         1
         2
         2
         0
         1
         1
         0
         2
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         5
         6
         6
         9
         9
         7
        23
        21
        25
        15
        23
        12
        12
         9
         1
         4
         7
         7
         7
         3
         1
         7
         3
         1
         5
         3
         9
         8
         9
         6
         4
         1
         4
        37
       118
       127
        67
        41
         6
         6
         5
         1
         5
         4
         1
         3
         1
         1
         4
         3
         3
         1
         0
         4
         1
         2
         4
         1
         3
         3
         1
         3
         1
         1
         0
         1
         1
         1
         0
         1
         0
         2
         0
         0
         3
         2
         1
         3
         0
         1
         1
         1
         2
         1
         0
         0
         1
         1
         3
         0
         1
         1
         0
         2
         0
         0
         1
         1
         1
         1
         1
         2
         1
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         2
         0
         2
         3
         4
         3
         4
         5
         5
         6
         1
         8
         8
         2
         6
         2
         2
         1
         1
         3
         0
         1
         3
         0
         1
         1
         5
         3
         2
         1
         0
         1
         3
         2
         4
        26
        41
        30
        13
         2
         3
         3
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         2
         1
         2
         1
         0
         2
         0
         2
         0
         0
         0
         0
         3
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         2
         0
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         1
         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
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         3
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         2
         2
         3
         4
         4
         3
         6
         1
         4
         4
         4
         2
         1
         1
         1
         1
         2
         1
         0
         0
         0
         2
         1
         2
         2
         2
         2
         0
         1
         2
         1
         1
         0
         1
         0
        18
        30
        20
        10
         5
         2
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         2
         2
         0
         1
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         3
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         2
         3
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         2
         2
         0
         0
         2
         2
         1
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         3
         2
         3
         1
         8
         4
        10
        14
        13
        12
        10
        15
        13
        14
         9
         8
         7
        11
         7
         5
         3
         4
         4
         3
         2
         1
         7
         7
         3
         4
         1
         4
         4
         4
         7
         6
         2
         7
         6
         1
         2
         1
         5
        26
        83
       114
        47
        14
         5
         3
         3
         1
         2
         1
         3
         1
         2
         1
         2
         1
         0
         1
         2
         3
         5
         3
         1
         1
         1
         1
         2
         2
         1
         1
         0
         1
         1
         2
         2
         1
         3
         0
         1
         2
         1
         0
         2
         0
         0
         3
         1
         2
         1
         0
         2
         1
         1
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         2
         1
         2
         1
         1
         0
         0
         1
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         3
         2
         4
         5
        11
        16
        14
        12
        20
        21
        15
        24
        20
         9
         9
        12
        10
         6
         3
         8
         5
         2
         1
         8
         5
         2
         6
         2
         5
         1
         4
         4
         6
         4
         6
         3
         3
         2
         9
         5
         6
         7
        12
        81
       130
        75
        22
        11
         1
         5
         3
         3
         4
         1
         4
         1
         1
         2
         3
         1
         0
         3
         1
         0
         3
         2
         5
         0
         1
         0
         1
         1
         5
         1
         2
         4
         4
         0
         1
         0
         2
         1
         2
         1
         1
         2
         1
         1
         0
         2
         0
         0
         1
         1
         0
         0
         2
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         1
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         5
         2
         5
         1
         0
         1
         1
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         2
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         3
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         1
         1
         2
         1
         0
         2
         8
         1
         1
         5
         9
         3
         2
         1
         1
         3
         2
         1
         1
         0
         5
         2
         1
         0
         0
         1
         0
         0
         0
         1
         1
         2
         1
         0
         1
         0
         1
         1
         1
         2
         1
         1
         2
         0
         0
         0
         1
         5
        15
        18
        20
         9
        12
         7
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         2
         1
         2
         0
         1
         1
         0
         2
         2
         2
         2
         2
         6
         1
         3
         2
         0
         1
         0
         2
         1
         2
         0
         1
         0
         2
         1
         1
         2
         1
         0
         2
         3
         1
         2
         1
         0
         2
         1
         2
         1
         0
         1
         1
         0
         0
         0
         0
         1
         8
        16
        12
         4
         2
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         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
         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
         1
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         0
         0
         0
         2
         1
         0
         1
         1
         1
         2
         1
         5
         3
         4
        10
         7
         4
         7
        10
        16
        18
        19
        12
        11
         6
         6
         7
        10
         4
         6
         0
         6
         4
         1
         3
         2
         4
         3
         0
         4
         2
         2
         2
         3
         3
         2
         3
         3
         2
         3
         3
         4
         3
         1
         4
         1
         6
         0
         4
         3
        40
        85
        73
        36
        11
         6
         2
         3
         1
         1
         1
         3
         1
         2
         2
         3
         4
         2
         3
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         2
         2
         2
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         3
         1
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         2
         2
         6
         4
         3
         7
         5
         9
         2
         2
         4
         4
         2
         0
         3
         1
         1
         0
         1
         2
         3
         1
         2
         1
         0
         1
         2
         0
         0
         2
         0
         1
         0
         0
         0
         1
         2
         0
         0
         1
         1
         3
         2
         0
         2
         2
         1
        21
        31
        25
         8
        12
         2
         1
         5
         3
         4
         1
         0
         3
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         2
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         4
         5
         2
         1
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         4
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         5
         1
         2
         0
         1
         2
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         2
         2
         4
         2
         1
         1
         0
         6
         2
         2
         1
         4
         5
         3
         7
         3
         2
         0
         4
         1
         2
         0
         2
         1
         1
         1
         0
         1
         2
         2
         2
         0
         1
         2
         2
         0
         1
         0
         4
         1
         1
         2
         0
         0
         1
         0
         0
         0
         2
         0
         1
         2
         2
        15
         8
        14
         8
         1
         1
         1
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         2
         0
         0
         2
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         2
         4
         5
         5
         5
         9
         6
         4
         4
         8
         6
         3
         4
         1
         0
         2
         4
         1
         4
         1
         1
         1
         3
         1
         2
         1
         2
         0
         1
         0
         2
         0
         2
         1
         1
         0
         1
         1
         2
         0
         2
         2
         0
         0
         1
         0
         0
         2
         0
         0
         3
         9
        26
        23
        12
         3
         2
         2
         2
         0
         0
         1
         1
         0
         0
         1
         0
         2
         2
         0
         0
         1
         0
         1
         0
         1
         0
         1
         3
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         3
         0
         1
         0
         1
         3
         0
         1
         1
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         3
         2
         4
         2
         3
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         3
         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
         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
         1
         2
         2
         1
         3
         3
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         3
         0
         0
         0
         1
         2
         3
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         1
         1
         0
         2
         0
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         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
         1
         0
         0
         0
         0
         2
         1
         1
         2
         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
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         3
         0
         1
         2
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         9
         7
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         4
         3
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         3
         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
         2
         0
         1
         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
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         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
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         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
         2
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         2
         0
         1
         1
         2
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         3
         1
         2
         0
         0
         1
         1
         2
         5
         4
         3
         2
         3
         2
         0
         3
         1
         0
         1
         0
         0
         2
         1
         0
         1
         2
         1
         2
         0
         2
         0
         0
         0
         1
         2
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         3
         1
         2
         0
         0
         1
         1
         1
         0
         0
         1
         2
         0
         1
         0
         3
         1
         7
         5
         3
         9
         6
         6
         5
         1
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         3
         1
         2
         3
         1
         1
         3
         3
         0
         1
         1
         0
         2
         0
         0
         1
         4
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         2
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         2
         3
         4
         7
         5
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         2
         3
         2
         1
         0
         2
         1
         1
         0
         3
         2
         9
         1
         6
         1
         2
         0
         1
         2
         2
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         1
         0
         2
         3
         1
         0
         1
         0
         1
         1
         0
         2
         1
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         2
         2
         6
        11
        19
         6
         1
         0
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         3
         4
         3
         3
         3
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         3
         1
         2
         2
         1
         4
         0
         1
         0
         0
         1
         1
         2
         0
         3
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
        10
         8
         2
         5
         1
         0
         2
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         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
         1
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         0
         0
         1
         0
         2
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         2
         2
         2
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         2
         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
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         1
         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
         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
         1
         0
         0
         0
         1
         0
         0
         2
         3
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         1
         0
         0
         3
         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
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         2
         1
         0
         1
         4
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         1
         0
         1
         1
         1
         3
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         0
         2
         0
         1
         1
         4
         1
         2
         0
         1
         1
         1
         1
         0
         0
         2
         0
         1
         0
         2
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         2
         2
         0
         0
         0
         0
         2
         0
         3
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         3
         3
         8
         8
         4
         3
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         3
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         2
         0
         0
         0
         2
         1
         0
         0
         3
         2
         2
         5
         6
         2
         3
         1
         0
         1
         0
         1
         1
         2
         1
         1
         2
         1
         0
         0
         3
         2
         1
         1
         1
         0
         1
         4
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         1
         1
         6
        17
        15
        10
         4
         1
         3
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         2
         0
         1
         0
         0
         1
         0
         3
         0
         0
         1
         2
         6
         4
         3
         3
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         2
         1
         2
         3
         2
         1
         0
         0
         2
         1
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         2
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         4
         2
         9
         1
         3
         1
         1
         2
         4
         3
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         1
         0
         2
         0
         0
         4
         1
         1
         1
         3
         1
         2
         4
         4
         1
         3
         5
         4
         4
         3
         6
        11
         9
         4
         1
         2
         5
         4
         0
         3
         4
         2
         0
         2
         0
         0
         2
         3
         1
         1
         2
         0
         2
         1
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         2
         1
         2
         1
         0
         0
         2
         0
         1
         3
         2
         1
         0
         6
         7
        18
        21
        17
        16
        17
         3
         2
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         3
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         6
         5
         2
         5
         1
         1
         2
         3
         1
         1
         0
         0
         1
         1
         1
         0
         2
         2
         3
         4
         4
         4
         3
         2
         2
         1
         1
         0
         2
         1
         1
         1
         2
         1
         1
         1
         2
         2
         0
         0
         0
         0
         1
         1
         2
         1
         4
         0
         2
         1
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         1
         2
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         3
         6
        18
         9
        10
         3
         3
         2
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         1
         0
         2
         0
         1
         0
         2
         2
         1
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         3
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         3
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         2
         0
         2
         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
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         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
         1
         3
         3
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         3
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         2
         0
         0
         1
         1
         2
         2
         1
         2
         0
         3
         1
         2
         0
         3
         3
         0
         1
         0
         1
         3
         1
         0
         1
         1
         1
         0
         0
         4
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         3
         1
         7
         6
         5
         4
         2
         0
         0
         1
         2
         0
         1
         1
         2
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         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
         1
         0
         1
         1
         1
         2
         0
         1
         1
         2
         1
         0
         1
         1
         1
         0
         0
         4
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         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
         2
         2
         4
         1
         1
         2
         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
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         2
         2
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         8
         5
         3
         5
         2
         2
         1
         0
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         3
         1
         0
         3
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         2
         4
         0
         0
         1
         1
         1
         1
         0
         2
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         2
         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
         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
         1
         3
         5
         6
         0
         3
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         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
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         2
         1
         0
         1
         1
         0
         1
         0
         0
         2
         2
         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
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         2
         2
         1
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         3
         2
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         1
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         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
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         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
         3
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         6
         1
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         3
         0
         0
         0
         0
         1
         1
         0
         1
         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
         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
         1
         0
         0
         0
         3
         3
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         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
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         1
         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
         1
         0
         0
         2
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         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
         2
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         2
         0
         3
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         3
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         3
         1
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         0
         3
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         3
         0
         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
         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
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         2
         1
         0
         0
         0
         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
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         2
         1
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         4
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         2
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         4
         3
         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
         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
         0
         1
         0
         2
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         4
         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
         1
         0
         0
         0
         0
         0
         2
         2
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         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
         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
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         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
         1
         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
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         4
         3
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         2
         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
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         0
         2
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         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
         1
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         2
         1
         0
         0
         1
         0
         2
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         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
         1
         0
         3
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         1
         0
         2
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         3
         0
         1
         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
         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
         2
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         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
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         2
         0
         0
         3
         0
         3
         5
         1
         1
         1
         1
         1
         3
         2
         4
         2
         3
         2
         8
         8
        10
         7
        10
        15
         7
         4
         8
         4
         5
         6
         2
         4
         2
         1
         4
         3
         5
         1
         4
         0
         1
         1
         1
         4
         4
         0
         4
         1
         0
         0
         2
         3
         0
         1
         0
         4
         0
         0
         0
         2
         1
         1
         2
         2
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         2
         3
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         2
         1
         3
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         4
         2
         1
         1
         1
         0
         2
         2
         4
        10
        30
        47
        53
        52
        26
        19
        16
         9
         5
         5
         3
         1
         2
         2
         1
         0
         2
         2
         4
         1
         0
         1
         1
         2
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         4
         2
         1
         2
         0
         1
         0
         3
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         1
         2
         1
         1
         1
         1
         0
         1
         2
         0
         2
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         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
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         4
         0
         0
         0
         2
         2
         1
         1
         0
         0
         1
         0
         1
         0
         1
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         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
         1
         0
         1
         1
         2
         0
         0
         2
         0
         1
         1
         0
         2
         0
         0
         1
         0
         1
         1
         1
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         0
         1
         1
         1
         1
         3
         1
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         4
         4
         3
         3
         4
         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
         2
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         1
         0
         1
         1
         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
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         2
         0
         0
         1
         1
         1
         2
         0
         2
         0
         1
         0
         1
         0
         2
         0
         3
         0
         2
         1
         0
         2
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         1
         2
         1
         1
         3
         1
         3
         1
         2
         1
         0
         0
         3
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         2
         2
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         2
        98
         2
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
        43
         1
         2
         1
         0
         0
         0
         0
         3
         0
         0
         1
         1
         0
         1
         1
         1
         2
         0
         3
         1
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         5
         0
         0
         0
         1
         2
         2
         0
         3
         1
         1
         0
         2
         0
         0
         1
        20
         2
         2
         4
         2
         2
         0
         1
         1
         1
         0
         1
         3
         1
         0
         1
         0
         4
         4
         4
         3
         1
         1
         0
         0
         1
         2
         0
         0
         1
         1
         1
         2
         1
         1
         0
         1
         1
         1
         0
         4
         2
         2
         0
         3
         1
         0
         1
         3
         2
         1
         0
         0
         4
         1
         1
         0
         1
         3
         2
         2
         1
         1
         0
         1
         1
         3
         3
         2
         8
         9
         9
         6
         3
         4
         0
         2
         1
         0
         1
         3
         1
         1
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         2
         2
         0
         1
         0
         0
         2
         0
         0
         1
         3
         0
         0
         1
         2
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         2
         0
         6
         7
        11
        13
         6
         7
         2
         3
         0
         0
         2
         0
         2
         0
         2
         1
         0
         0
         0
         0
         2
         1
         1
         1
         2
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         2
         1
         2
         3
         3
         1
         3
         2
         1
         1
         4
         1
         0
         3
         0
         0
         0
         2
         9
        12
        13
        22
        11
         6
         0
         5
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         2
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         3
         3
         3
         2
         4
         4
         0
         0
         1
         1
         1
         0
         0
        12
         0
         2
         1
         2
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
        85
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         5
         5
         5
         7
        10
         4
         1
         3
         0
         0
         2
         1
         1
         0
         0
         0
         2
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         3
         4
         1
         4
         1
         3
         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
         2
         1
         0
         1
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         3
         0
         0
         1
         0
         1
         4
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         9
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
        15
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         3
        82
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         3
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         3
        66
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         6
        26
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         8
         0
         1
         0
         2
         1
         2
         1
         0
         0
         0
         0
         2
         2
         0
         1
         3
         0
         0
         1
         3
         0
         0
         1
         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
         0
         1
         1
         0
         1
         3
         3
         1
         1
         1
         1
         1
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
        13
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         2
         1
         1
         1
         0
         2
         2
         4
         2
         2
         1
         3
         2
         2
         2
         0
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         3
         0
         2
         0
         1
         1
         1
         1
         1
         3
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         1
         0
         1
         0
         1
         1
         1
         1
         2
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         1
         1
         4
         1
         2
         1
         0
         1
         1
         0
         0
         1
         0
         3
         0
         1
         3
         0
         1
         1
         2
         1
         1
         0
         2
         2
         0
         2
         1
         6
         4
         0
         2
         3
         3
         2
         1
         2
         2
         1
         3
         4
         0
         1
         1
         2
         0
         0
         2
         2
        11
         8
         5
         8
         1
         2
         0
         2
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         2
         3
         7
         5
         7
         2
         2
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         0
         1
         0
         1
         0
         3
         4
         2
         6
         1
         1
         0
         0
         1
         2
         1
         0
         0
         1
         2
         3
         1
         1
         1
         0
         0
         1
         0
         1
         4
         1
         8
        15
        12
        11
         8
         3
         7
         2
         5
         2
         2
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         9
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
         4
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         3
         1
         0
         0
         1
         0
         1
         1
         0
         0
         2
         1
         0
         1
         2
         4
         5
         3
         6
         7
         5
         7
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
        28
         0
         2
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         6
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         1
         0
         1
         2
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         3
         0
         0
         0
         1
         2
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         8
         0
         0
         2
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         2
        38
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
        97
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         2
         1
         0
         1
         1
         1
         1
         0
         1
         0
         0
         1
         3
         1
         0
         1
         2
         0
         0
         0
         1
         1
         0
         1
         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
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         3
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         1
         1
         1
         0
         1
         1
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         3
         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
         1
         1
         0
         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
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         2
         2
         0
         1
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         5
        49
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
        26
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         3
         0
         2
         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
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         2
         2
         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
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         2
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         3
         1
         0
         0
         0
         1
         0
         1
         3
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         2
         0
         1
         2
         1
         0
         0
         2
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         1
         2
         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
         2
         0
         4
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         2
         1
         0
         1
         1
         0
         2
         1
         0
         0
         1
         0
         1
         0
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         2
         1
         2
         3
         2
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         2
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         3
         1
         0
         0
         1
         2
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         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
         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
         2
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         2
         1
         0
         0
         1
         1
         2
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         2
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         4
         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
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         1
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         2
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         3
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         3
         3
         3
         3
         1
         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
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         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
         1
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         3
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         3
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         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
         2
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         2
         4
         4
         2
         1
         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
         0
         3
         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
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         2
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         2
         1
         1
         3
         1
         1
         0
         0
         1
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         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
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         2
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         2
         0
         2
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         3
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         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
         2
         1
         1
         1
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         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
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         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
         0
         1
         0
         1
         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
         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
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         3
         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
         2
         0
         1
         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
         1
         0
         0
         1
         1
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         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
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         1
         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
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         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
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         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
         2
         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
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         2
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         3
         0
         0
         3
         2
         5
         3
         1
         2
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         2
         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
         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
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         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
         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
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         3
         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
         1
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         3
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         3
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         2
         1
         1
         0
         2
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         2
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         2
         1
         7
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         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
         1
         3
         4
         5
         0
         2
         4
         0
         1
         1
         1
         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
         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
         1
         0
         2
         0
         0
         0
         0
         2
         0
         1
         1
         3
         3
         2
         3
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         1
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         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
         0
         0
         0
         0
         0
         0
         3
         0
         0
         2
         1
         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
         2
         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
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         3
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         2
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         3
         1
         2
         3
         3
         1
         0
         1
         0
         2
         1
         4
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         3
         2
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         4
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         1
         3
         5
         4
         3
         2
         4
         1
         4
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         1
         1
         0
         2
         0
         1
         1
         0
         1
         0
         1
         1
         1
         2
         1
         1
         0
         1
         4
         3
         2
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         3
         1
         1
         0
         0
         2
         3
         1
         1
         4
         4
         3
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         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
         1
         0
         0
         0
         2
         1
         3
         1
         4
         2
         0
         1
         2
         1
         0
         0
         2
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         2
         1
         0
         0
         0
         3
         0
         2
         1
         2
         0
         2
         3
         0
         2
         0
         0
         0
         2
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         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
         0
         1
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         2
         1
         3
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         3
         1
         2
         2
         2
         0
         2
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         2
         1
         0
         1
         1
         0
         2
         0
         0
         1
         0
         1
         2
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         1
         1
         1
         1
         2
         2
         2
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         3
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         2
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         1
         1
         2
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         2
         3
         0
         1
         0
         1
         2
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         4
         2
         1
         0
         2
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         3
         1
         0
         0
         0
         0
         1
         0
         1
         1
         5
         2
         1
         3
         3
         2
         1
         1
         2
         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
         1
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         4
         2
         3
         3
         2
         0
         2
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         3
         2
         0
         1
         0
         2
         1
         0
         3
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         3
         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
         1
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         0
         1
         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
         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
         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
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         1
         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
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         2
         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
         1
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         2
         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
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         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
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         1
         0
         1
         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
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         4
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         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
         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
         2
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         3
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         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
         0
         0
         0
         1
         2
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         1
         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
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         2
         4
         6
         2
         3
         2
         4
         2
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         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
         1
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         3
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         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
         1
         0
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         1
         2
         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
         1
         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
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         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
         2
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         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
         0
         2
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         1
         2
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         3
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         2
         0
         4
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         2
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         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
         1
         0
         0
         1
         1
         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
         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
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         0
         0
         1
         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
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         1
         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
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         1
         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
         1
         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
         1
         0
         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
         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
         2
         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
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         3
         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
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         2
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         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
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         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
         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
         2
         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
         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
         1
         0
         1
         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
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         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
         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
         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
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         2
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         1
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         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
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         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
         1
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         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
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         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
         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
         1
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         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
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         2
         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
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         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
         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
         1
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         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
         2
         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
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         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
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         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
         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
         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
         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
         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
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         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
         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
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         2
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         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
         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
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         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
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         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
         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
         0
         1
         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
         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
         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
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         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
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         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
         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
         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
         2
         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
         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
         2
         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
         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
         1
         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
         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
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         2
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         0
         0
         1
         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
         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
         2
         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
         1
         0
         0
         0
         1
         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
         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
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         2
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         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
         1
         2
         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
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         3
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         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
         1
         0
         0
         1
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         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
         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
         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
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         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
         1
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         1
         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
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         1
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         0
         0
         0
         0
         0
         2
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         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
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         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
         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
         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
         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
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         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
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         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
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         2
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         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
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         2
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         2
         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
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         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
         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
         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
         1
         0
         0
         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
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         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
         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
         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
         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
         2
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         1
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         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
         1
         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
         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
         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
         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
         1
         0
         0
         1
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         2
         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
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1