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_20020616T164346_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_20020616T164346_SP_N"
PRODUCT_CREATION_TIME           = 2006-10-09T21:08:06
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                      = 2002-06-16T16:43:46
STOP_TIME                       = 2002-06-16T16:46:30
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      = 5500
ROSETTA:COSIMA_SUBSTRATE_Y      = 570
ROSETTA:COSIMA_SPECTRUM_POL     = "NEGATIVE"
ROSETTA:COSIMA_SPECTRUM_SHOTS   = 70000

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

END    
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
        -1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
     69996
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
     69998
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
     70000
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
     69998
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         2
         0
         1
         0
         0
         1
         0
         2
         2
         1
         3
         4
         4
         3
         1
         2
         3
         3
         1
         5
         5
         3
         4
         6
         5
         3
         4
         5
         3
         1
         4
         1
         1
         2
         3
         2
         2
         0
         0
         2
         0
         2
         1
         1
         0
         2
         2
         2
         0
         1
         1
         0
         1
         1
         0
         2
         0
         3
         0
         1
         1
         1
         0
         2
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         3
         3
         0
         0
         1
         2
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         3
         0
         3
         0
         0
         1
         1
         1
         0
         1
         1
         2
         3
         4
         1
         5
         4
         5
         5
         6
         1
         5
         5
         7
         5
         6
         8
         5
         9
         3
         7
         7
         6
        10
         9
        14
         7
         8
         4
        11
        10
         5
         6
         5
         5
         5
         5
         2
         7
         7
         5
         4
         4
         1
         6
         5
         8
         3
        13
         2
         5
         6
         2
         6
         5
         3
         6
         2
         4
         4
         5
         5
         0
         4
         1
         6
         4
         6
         3
         5
         4
         3
         6
         3
         1
         2
         4
         5
         2
         1
         0
         2
         1
         2
         3
         3
         2
         0
         2
         2
         4
         4
         1
         3
         0
         2
         0
         0
         0
         1
         2
         0
         3
         1
         1
         2
         1
         2
         1
         0
         1
         3
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
        11
       217
       770
       901
       711
       586
       625
       718
       838
       983
      1046
      1129
      1116
      1211
      1285
      1224
      1284
      1424
      1524
      1590
      1739
      1704
      1963
      2070
      2054
      2095
      2009
      2501
      5601
      5805
      2792
      2099
      5559
     15695
      4524
      1043
       758
       301
       307
       247
       243
       249
       240
       199
       219
       249
       433
       625
      1117
      1351
      1348
      1266
      1346
        22
       949
      1096
      1776
      2061
      1592
      1409
      1211
      1248
      1644
      1976
      2851
      1892
      1453
      1311
      1290
       291
      2043
      1820
      1466
      1121
      1008
      1136
      1288
      1365
      1411
      1109
      1079
       961
      1175
      1200
      1312
       491
      1069
       988
      1000
      1068
       957
      1085
      1135
       993
      1009
       901
       839
       961
      1037
      1245
      1168
       511
       838
       795
       803
      1037
      1169
       946
       747
       646
       713
       755
       754
       873
       791
       683
       636
       422
       694
       621
       673
       634
       573
       504
       566
       493
       547
       600
       485
       482
       928
       421
       513
       557
       485
       517
       414
       435
       407
       385
       445
       441
       372
       410
       356
       377
       342
       343
       453
       286
       345
       348
       301
       297
       305
       379
       246
       283
       301
       282
       296
       260
       299
       318
       300
       242
       292
       240
       275
       292
       253
       241
       275
       255
       223
       220
       239
       266
       263
       235
       208
       194
       207
       204
       184
       189
       170
       195
       152
       161
       166
       147
       149
       143
       138
       138
       130
       118
       145
       166
       140
       147
       120
        99
       111
       122
       116
        92
        92
       100
        89
       130
       110
        85
        86
        97
        81
        80
        81
        85
        75
        84
        73
        70
        81
        77
        77
        56
        68
        72
        56
        75
        77
        72
        58
        60
        40
        46
        57
        49
        51
        59
        45
        37
        46
        44
        46
        46
        36
        48
        33
        43
        36
        41
        45
        30
        37
        39
        27
        31
        35
        32
        51
        22
        33
        33
        27
        24
        35
        27
        25
        33
        38
        18
        14
        24
        34
        24
        23
        22
        24
        29
        30
        22
        27
        19
        23
        22
        13
        19
        21
        20
        24
        22
        17
        13
        18
        19
        14
        14
        15
        18
        16
        16
        19
        19
        16
        12
        13
         8
        12
        14
        13
        16
         5
        15
        13
         7
        15
        11
        12
        10
         4
        13
         9
        12
        12
        12
         9
         6
        13
         7
         5
        16
        13
         8
        10
         7
         8
         6
         7
         3
        11
         4
         3
         2
         6
         4
         5
         8
         5
         1
         4
         7
         7
         7
         8
         3
         7
         1
         5
         8
         5
         2
         7
        12
         3
         6
         4
         6
         2
         3
         7
         9
         2
         7
         3
         3
         6
         5
         4
         4
         2
        10
         3
         1
         6
         4
         6
         3
         4
         5
         5
         7
         7
         4
         5
         6
         6
        12
         6
        13
         4
         8
        13
        10
         9
        10
        15
        11
        11
         9
        13
        12
         7
        13
         9
         9
         5
         9
         4
         4
         3
         4
         6
         8
         6
         3
         6
         4
         6
         4
         2
         7
         4
         1
         3
         3
         6
         6
         7
         5
         6
         3
         2
         4
         2
         4
         4
         3
         1
         3
         2
         4
         2
         2
         1
         4
         3
         2
         2
         2
         3
         1
         3
         0
         2
         6
         0
         1
         0
         2
         2
         1
         2
         0
         1
         3
         2
         1
         2
         2
         1
         2
         4
         1
         2
         1
         2
         1
         3
         1
         2
         1
         4
         3
         0
         0
         1
         6
         7
         4
         3
         2
         3
         2
         2
         1
         5
         4
         2
         2
         5
         9
         4
         8
         5
        10
         5
         7
         9
         6
         8
         7
         3
         2
         6
         5
         7
         9
         6
         6
         7
         6
         5
         8
         7
         3
         9
         5
         4
         0
         5
         5
         6
         5
         7
         5
         5
         5
         8
         1
         7
         8
         5
         8
         6
         6
         6
         4
         1
         6
         8
        11
         9
         9
        15
        12
        10
        10
        13
        17
        23
        18
        17
        17
        11
        16
        17
        16
        23
        13
        18
        18
        18
        18
        19
        21
        15
        16
        22
        10
        14
        12
        20
        15
         9
        17
        20
        13
        12
        20
        15
        15
        15
         6
         8
        14
        11
        13
         4
         6
        12
        13
        12
         6
         7
        13
         7
         5
         5
         9
         9
         7
         6
        10
         3
        10
         6
         6
         8
         9
         7
         8
         3
         7
         6
         7
         4
         7
         6
         6
         5
         8
         7
         5
         4
         5
         5
         6
         5
         0
         2
         2
         2
         4
         4
         3
         1
         6
         3
         2
         3
         6
         7
         3
         8
         5
         3
         5
         5
         5
         4
         2
         3
         4
         4
         3
         8
         5
         5
         7
         3
         5
         4
         7
         7
         5
         9
        11
        19
        16
        30
        44
        84
       100
        53
        18
        13
        17
        18
        17
        18
        14
        23
        18
        14
        13
        16
         8
        11
        12
        11
        16
        11
        13
        10
        10
        19
        10
        13
        21
        15
        13
        10
        18
        12
        14
         7
        13
         9
         8
        18
        15
        10
        11
         8
        16
        14
         9
        19
         7
        13
        12
         9
        11
        12
         6
         9
         9
         8
         4
        10
         7
         9
         6
         5
         5
        15
         8
         8
         5
         9
         4
         7
         4
         9
         5
         5
         2
         2
         6
         3
         5
         3
         5
         2
         2
         8
         4
         2
         5
         5
         5
         1
         8
         2
         6
         5
         4
         3
         2
         6
         6
         2
         3
         8
         2
         5
         5
         4
         5
         3
         3
         5
         3
         3
         3
         9
         7
         6
         6
         7
         7
         6
         0
         5
         3
         4
         4
         2
         4
         6
         2
         4
         1
         6
         3
         3
         2
         8
         4
         4
         5
         9
         6
         4
         2
         3
         4
         5
         6
         7
         9
         8
         4
         6
         8
         8
         4
         4
         6
         4
         9
         5
         5
         3
         3
         2
        10
         6
         3
         2
         4
         1
         7
         7
         3
         6
         1
         7
         5
         4
         3
         1
         3
         4
         3
         2
         0
         2
         4
         4
         2
         4
         3
         4
         3
         2
         2
         3
         5
         2
         2
         6
         1
         4
         4
         1
         3
         1
         2
         4
         4
         6
         5
         0
         8
         1
         2
         5
         4
         5
         2
         4
         1
         5
         4
         3
         3
         1
         5
         2
         4
         7
         2
         4
         4
         3
         6
         3
         4
         4
         2
         2
         2
         3
         2
         1
         1
         0
         1
         1
         2
         3
         2
         0
         2
         3
         5
         4
         3
         1
         5
         1
         4
         0
         2
         1
         1
         0
         1
         0
         0
         4
         0
         2
         5
         0
         4
         3
         1
         2
         0
         1
         0
         3
         1
         3
         1
         1
         3
         4
        19
        60
        82
        54
        38
        27
        22
        15
        11
        15
        10
        12
         9
        17
        14
        14
        11
         8
         7
         5
         6
         8
         3
         6
         6
         6
         7
         2
         7
         7
         3
         3
         8
         7
         8
         3
         6
         4
         5
         7
         1
         1
         4
         2
         3
         1
         2
         4
         1
         3
         3
         4
         1
         2
         2
         3
         2
         2
         0
         6
         1
         2
         0
         2
         4
         2
         4
         5
         2
         3
         3
         1
         3
         0
         5
         2
         2
         2
         1
         1
         5
         1
         2
         1
         6
         2
         3
         3
         2
         1
         1
         3
         3
         1
         4
         1
         3
         2
         5
         1
         3
         5
         2
         4
         4
         5
         2
         2
         3
         4
         3
         4
         4
         6
         4
         3
         4
         1
         2
         3
         6
         2
         3
         2
         3
         1
         2
         3
         2
         3
         2
         3
         2
         4
         1
         0
         4
         6
         2
         2
         3
         2
         7
         2
         1
         3
         2
         2
         1
         2
         4
         3
         2
         0
         4
         0
         5
         3
         0
         3
         2
         0
         1
         2
         2
         0
         4
         4
         0
         0
         1
         1
         2
         3
         3
         6
         4
         1
         0
         3
         0
         1
         0
         4
         1
         2
         3
         0
         2
         3
         1
         3
         1
         1
         4
         1
         0
         1
         0
         0
         1
         3
         1
         2
         3
         1
         0
         2
         1
         4
         3
         2
         1
         2
         1
         0
         0
         1
         1
         3
         1
         1
         1
         3
         0
         1
         1
         2
         2
         1
         1
         1
         3
         0
         1
         2
         1
         3
         2
         3
         4
         1
         4
         1
         3
         2
         1
         0
         1
         2
         2
         2
         0
         3
         2
         2
         4
         1
         0
         2
         0
         5
         1
         1
         5
         3
         2
         3
         3
         2
         3
         6
         1
         1
         3
         3
         3
         2
         2
         7
         4
         3
         7
         1
         3
         4
         4
         1
         4
         0
         4
         2
         1
         1
         0
         0
         1
         4
         2
         3
         2
         3
         2
         2
         2
         2
         4
         0
         4
         3
         1
         1
         1
         1
         1
         0
         4
         1
         1
         1
         0
         2
         3
         3
         1
         2
         1
         1
         1
         2
         0
         2
         2
         2
         3
         3
         0
         2
         1
         1
         1
         4
         1
         0
         4
         1
         2
         0
         4
         3
         1
         1
         3
         3
         3
         1
         1
         2
         2
         1
         2
         2
         2
         1
         1
         2
         3
         2
         0
         0
         2
         2
         2
         1
         1
         4
         1
         0
         1
         1
         2
         2
         2
         1
         0
         2
         2
         2
         4
         2
         2
         1
         1
         1
         0
         1
         2
         5
         3
         0
         1
         5
         0
         0
         1
         1
         2
         1
         2
         1
         0
         3
         1
         3
         1
         1
         2
         1
         0
         0
         0
         1
         4
         1
         0
         2
         1
         1
         1
         0
         3
         4
         0
         0
         2
         1
         0
         1
         1
         2
         1
         1
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         0
         1
         1
         1
         2
         1
         2
         1
         0
         0
         0
         1
         0
         1
         2
         1
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         2
         3
         0
         1
         0
         0
         0
         3
         0
         1
         3
         1
         1
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         1
         1
         1
         3
         0
         0
         0
         0
         2
         1
         1
         0
         1
         2
         0
         0
         0
         0
         1
         3
         0
         2
         1
         1
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         2
         0
         2
         2
         0
         0
         2
         3
         0
         1
         2
         2
         4
         2
         2
         3
         1
         3
         1
         1
         1
         1
         0
         3
         1
         2
         1
         0
         0
         0
         2
         0
         2
         2
         3
         4
         1
         4
         0
         5
         1
         1
         1
         2
         3
         3
         1
         3
         1
         0
         0
         1
         1
         1
         3
         1
         2
         2
         1
         5
         5
         4
         3
         2
        24
        39
        39
        47
        75
        92
       179
       727
      1143
       562
       204
       112
        84
        56
        54
        43
        54
        50
        40
        40
        38
        34
        47
        44
        31
        39
        33
        34
        32
        37
        26
        28
        31
        33
        27
        35
        24
        27
        26
        28
        34
        34
        25
        24
        16
        23
        22
        29
        15
        24
        10
        16
        21
        20
        25
        13
        14
        15
        11
        18
        15
        23
        20
        17
        12
         8
        18
         9
        15
        15
         7
        12
        16
         9
        16
         9
        16
        13
        14
        12
        11
        12
         5
         7
        10
        16
         8
        15
         5
         8
         9
         8
         9
         8
         6
         7
        11
         4
         5
         3
         8
         8
         5
         6
         3
         8
         3
         6
         9
         8
         9
         7
         9
         8
         4
         4
         4
         3
         3
         4
         5
         9
         4
         5
         1
         3
         1
         2
         3
         2
         2
         2
         4
         2
         3
         3
         5
         2
         3
         2
         2
         4
         3
         2
         0
         3
         0
         3
         3
         4
         3
         2
         2
         1
         1
         2
         1
         2
         4
         3
         2
         2
         4
         2
         2
         1
         3
         4
         0
         0
         3
         0
         3
         1
         1
         2
         4
         3
         0
         3
         2
         0
         2
         0
         1
         4
         1
         2
         2
         4
         2
         0
         1
         5
         1
         1
         1
         4
         0
         1
         3
         3
         0
         1
         1
         0
         3
         1
         4
         4
         1
         1
         1
         2
         1
         2
         1
         2
         3
         2
         2
         1
         1
         4
         0
         1
         0
         0
         2
         1
         0
         0
         2
         0
         0
         1
         4
         0
         0
         0
         1
         2
         0
         2
         2
         1
         0
         0
         3
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         2
         1
         2
         0
         1
         0
         0
         1
         2
         1
         1
         0
         0
         0
         3
         1
         1
         0
         1
         0
         1
         0
         1
         1
         0
         2
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         3
         1
         0
         1
         0
         1
         2
         3
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         2
         2
         1
         0
         1
         0
         0
         1
         3
         1
         0
         1
         1
         1
         1
         1
         1
         1
         1
         1
         4
         1
         3
         3
         1
         0
         1
         2
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         3
         1
         1
         0
         0
         2
         1
         3
         1
         1
         2
         1
         0
         3
         1
         0
         0
         2
         0
         0
         0
         1
         2
         3
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         2
         2
         2
         0
         0
         2
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         3
         0
         0
         3
         0
         1
         2
         1
         2
         1
         0
         1
         3
         0
         2
         3
         0
         2
         1
         0
         1
         0
         0
         0
         1
         2
         1
         1
         2
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         1
         0
         1
         3
         1
         0
         3
         2
         0
         1
         0
         0
         1
         0
         0
         2
         0
         3
         0
         1
         0
         2
         0
         2
         2
         2
         3
         0
         1
         2
         1
         0
         0
         2
         1
         2
         0
         0
         2
         1
         1
         0
         0
         2
         1
         0
         1
         1
         2
         0
         2
         0
         1
         2
         0
         1
         2
         1
         2
         1
         2
         0
         2
         0
         0
         1
         0
         0
         1
         3
         2
         1
         1
         3
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         2
         1
         1
         0
         3
         0
         1
         2
         0
         1
         0
         2
         1
         1
         1
         2
         2
         2
         4
         2
         0
         2
         0
         0
         1
         0
         2
         1
         2
         0
         0
         2
         3
         1
         0
         1
         1
         3
         2
         0
         2
         2
         3
         1
         1
         3
         2
         0
         2
         0
         1
         1
         2
         1
         2
         1
         2
         2
         0
         0
         0
         1
         0
         0
         0
         2
         1
         2
         3
         1
         0
         3
         1
         1
         1
         2
         0
         1
         2
         0
         2
         0
         0
         0
         1
         1
         0
         0
         1
         2
         2
         0
         0
         2
         1
         1
         1
         1
         1
         1
         2
         0
         0
         1
         2
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         3
         0
         0
         3
         0
         0
         0
         1
         2
         3
         0
         0
         2
         2
         2
         2
         1
         0
         1
         0
         2
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         1
         1
         1
         1
         2
         1
         0
         0
         0
         1
         1
         0
         1
         1
         2
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         1
         2
         1
         1
         0
         3
         1
         1
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         4
         0
         0
         0
         2
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         1
         1
         1
         3
         0
         0
         2
         1
         1
         0
         0
         2
         0
         1
         1
         1
         0
         0
         2
         2
         2
         1
         0
         1
         0
         1
         1
         2
         1
         1
         2
         1
         2
         2
         3
         1
         4
         3
         2
         2
         2
         1
         0
         2
         3
         0
         1
         2
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         3
         0
         0
         1
         4
         1
         0
         0
         1
         1
         1
         1
         1
         2
         0
         2
         0
         0
         1
         1
         2
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         2
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         3
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         1
         2
         1
         0
         3
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         2
         1
         2
         2
         1
         1
         2
         1
         1
         2
         1
         0
         3
         0
         4
         2
         3
         3
         1
         2
         2
         2
         2
         3
         2
         4
         5
         5
         3
         4
         3
         4
         3
         2
         5
         4
         3
         1
         3
         2
         0
         3
         2
         1
         0
         0
         1
         0
         3
         0
         0
         1
         1
         2
         0
         1
         0
         1
         1
         1
         3
         1
         1
         0
         1
         1
         1
         4
         0
         2
         3
         0
         4
         2
         2
         1
         0
         1
         0
         0
         1
         1
         1
         2
         1
         2
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         2
         1
         2
         0
         0
         0
         2
         2
         3
         2
         2
         3
         0
         2
         2
         2
         2
         0
         2
         2
         2
         2
         2
         0
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         0
         2
         3
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         2
         3
         0
         3
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         4
         0
         2
         2
         3
         0
         2
         3
         1
         1
         0
         1
         1
         2
         1
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         2
         3
         0
         0
         1
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         2
         1
         0
         2
         1
         0
         2
         0
         2
         2
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         3
         1
         3
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         1
         1
         0
         0
         2
         0
         2
         0
         0
         0
         1
         3
         1
         2
         2
         2
         4
         2
         2
         0
         4
         0
         2
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         3
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         2
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         1
         1
         1
         1
         1
         3
         0
         4
         2
         4
         1
         2
         0
         2
         4
         1
         2
         0
         0
         1
         1
         0
         2
         1
         3
         2
         0
         0
         0
         0
         0
         2
         2
         2
         0
         1
         4
         0
         1
         2
         0
         1
         2
         3
         2
         2
         2
         1
         1
         1
         0
         0
         1
         1
         2
         0
         2
         2
         1
         0
         0
         0
         1
         2
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         3
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         2
         0
         1
         0
         0
         1
         0
         1
         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
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         1
         0
         2
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         4
         0
         2
         2
         0
         6
         3
         5
         3
         4
         4
         4
         3
         3
         4
         1
         4
         1
         2
         0
         4
         1
         3
         1
         2
         4
         1
         0
         2
         1
         3
         1
         1
         1
         2
         4
         1
         4
         0
         1
         1
         1
         1
         2
         0
         1
         2
         0
         1
         3
         0
         1
         0
         0
         2
         0
         1
         1
         1
         1
         1
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         2
         2
         0
         0
         0
         1
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         4
         4
         1
         1
         1
         1
         2
         1
         2
         1
         3
         2
         1
         1
         0
         1
         0
         0
         1
         1
         1
         1
         0
         2
         2
         3
         0
         0
         4
         2
         1
         1
         3
         2
         1
         1
         0
         2
         1
         4
         3
         0
         0
         0
         2
         2
         1
         0
         1
         2
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         2
         2
         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
         1
         0
         0
         2
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         1
         2
         1
         1
         0
         1
         3
         0
         2
         3
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         2
         2
         2
         2
         1
         2
         2
         0
         1
         0
         3
         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
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         3
         2
         5
         6
         1
         2
         5
         1
         0
         3
         2
         1
         0
         0
         1
         2
         0
         1
         0
         0
         4
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         4
         1
         4
         3
         0
         3
         1
         7
         2
         2
         4
         3
         0
         3
         1
         0
         2
         2
         2
         2
         4
         1
         0
         0
         2
         0
         1
         2
        16
        39
        15
         5
         2
         0
         1
         1
         0
         2
         3
         1
         0
         3
         1
         1
         0
         2
         2
         2
         0
         1
         0
         0
         0
         2
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         2
         1
         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
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         3
         6
         4
         7
         7
         3
        14
         5
        14
         7
         9
        11
         6
         4
        12
         5
         4
         6
         4
         6
         4
         4
         1
         6
         6
         1
         4
         7
        28
        63
        59
        22
        10
         1
         2
         2
         5
         3
         6
         5
         1
         1
         1
         1
         1
         2
         4
         0
         2
         2
         2
         2
         4
         0
         0
         0
         1
         1
         0
         1
         0
         3
         0
         1
         0
         0
         2
         0
         2
         0
         0
         1
         2
         2
         2
         1
         0
         1
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         2
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         1
         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
         0
         0
         0
         1
         1
         2
         1
         0
         0
         2
         0
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         1
         1
         1
         0
         4
         3
         2
         2
         1
         1
         1
         3
         2
         1
         1
         0
         1
         2
         2
         2
         1
         0
         2
         0
         2
         2
         4
         6
        20
        15
         6
         3
         2
         0
         2
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         2
         2
         0
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         3
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         3
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         5
         1
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         1
         2
         2
         1
         1
         2
         0
         1
         1
         0
         3
         4
         0
         1
         0
         3
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         3
         2
         4
        12
         6
        11
         9
        24
        29
        43
        26
        46
        19
        14
        10
        17
        16
        10
        12
        14
         5
        10
         6
         6
         7
         9
         8
        18
        11
        15
        10
         3
         8
        17
       120
       229
       171
        78
        29
        13
         9
         6
         8
         3
         4
         4
         4
         2
         6
         2
         5
         2
         1
         5
         5
         1
         2
         0
         4
         3
         5
         1
         1
         3
         2
         3
         2
         3
         1
         1
         3
         1
         0
         2
         1
         2
         1
         3
         0
         2
         2
         1
         3
         1
         0
         2
         2
         1
         2
         1
         1
         0
         0
         1
         1
         1
         1
         1
         3
         1
         1
         0
         0
         1
         0
         2
         2
         1
         1
         1
         2
         1
         2
         0
         0
         2
         1
         1
         0
         0
         1
         1
         0
         0
         2
         2
         2
         1
         0
         0
         0
         2
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         3
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         3
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         2
         0
         2
         0
         3
         4
         6
         8
        15
         9
        15
         8
        13
        15
         8
        15
         9
        10
        10
         3
         7
         4
         4
         3
         3
         4
         3
         2
         3
         2
         7
         3
         2
         5
         3
         2
         3
         9
        51
       106
       101
        42
        21
         6
         1
         1
         4
         3
         1
         1
         2
         3
         2
         5
         0
         3
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         2
         4
         0
         0
         1
         2
         0
         0
         0
         1
         1
         0
         2
         1
         2
         1
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         2
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         4
         2
         1
         1
         4
         0
         4
         5
         4
         3
         0
         1
         1
         2
         1
         3
         2
         1
         3
         1
         3
         2
         0
         2
         2
         2
         2
         2
         2
         0
         1
         0
         6
        21
        28
        17
         5
         4
         1
         1
         4
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         3
         0
         0
         2
         1
         0
         0
         2
         2
         0
         0
         1
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         2
         1
         1
         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
         1
         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
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         2
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         3
         2
         1
         6
         0
         5
         3
         3
         0
         1
         6
         3
         2
         3
         0
         1
         2
         0
         1
         0
         0
         0
         0
         1
         1
         0
         3
         1
         2
         1
         1
         2
         1
         1
         0
         1
         2
         1
         4
        11
        31
        16
         8
         3
         1
         2
         3
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         2
         2
         0
         0
         3
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         2
         3
         5
         4
         7
         8
         9
        11
        14
         9
        13
        11
         7
         8
         1
        10
         3
         3
         2
         7
         1
         4
         1
         5
         3
         2
         3
         2
         4
         1
         3
         4
         2
         3
         4
         2
         1
         0
         4
         3
        39
        92
        81
        33
        13
         3
         4
         1
         7
         3
         3
         3
         2
         1
         0
         2
         1
         0
         1
         2
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         2
         1
         1
         0
         2
         0
         1
         0
         1
         1
         1
         2
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         1
         3
         5
         4
         9
         6
        12
         8
        18
        13
        20
        11
        12
         4
         7
         6
         4
         8
         4
         5
         5
         5
         5
         4
         4
         8
         0
         6
         0
         4
         5
         3
         5
         4
         4
         3
         5
         4
         3
         5
         4
         4
        20
        96
        88
        52
        10
        11
         3
         1
         3
         3
         0
         2
         2
         2
         4
         1
         1
         0
         1
         1
         2
         1
         2
         1
         0
         1
         2
         0
         0
         2
         1
         2
         0
         1
         2
         0
         1
         0
         0
         2
         1
         1
         1
         1
         0
         2
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         3
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         4
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         2
         2
         1
         7
         5
         1
         6
         1
         0
         0
         1
         1
         0
         0
         3
         0
         0
         3
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
        11
        14
        16
         6
         4
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         1
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         4
         2
         3
         2
         6
         0
         2
         3
         1
         1
         2
         1
         0
         3
         1
         0
         1
         1
         0
         0
         0
         0
         2
         2
         1
         2
         0
         2
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         3
         3
         9
        18
        13
         4
         3
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         2
         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
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         7
         2
         6
         3
         9
        12
         9
        17
        17
         9
         7
         8
         9
         9
         6
         5
         3
         2
         5
         2
         3
         1
         2
         1
         0
         3
         4
         2
         0
         4
         2
         4
         1
         3
         2
         0
         3
         1
         1
         1
         0
         3
         2
         3
         1
         4
         8
        46
        71
        62
        29
         6
         6
         2
         2
         4
         1
         3
         2
         0
         2
         0
         0
         0
         1
         0
         3
         4
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         4
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         1
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         3
         5
         1
         1
         1
         7
         4
         3
         3
         4
         1
         0
         2
         2
         3
         1
         1
         2
         0
         0
         0
         3
         0
         0
         3
         0
         0
         2
         1
         2
         1
         0
         1
         0
         0
         1
         1
         2
         1
         0
         1
         2
         1
         2
         0
         1
         3
         3
        25
        31
        12
         7
         2
         3
         1
         4
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         5
         5
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         2
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         4
         0
         0
         1
         1
         1
         4
         5
         3
         3
         0
         2
         3
         1
         0
         2
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         1
         2
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         3
         1
         1
         0
         1
         0
         1
         4
         0
         0
         2
        13
        12
         4
         4
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         5
         0
         3
         3
         5
         4
         9
         2
         4
         6
         2
         0
         0
         1
         2
         1
         3
         2
         1
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         2
         0
         1
         0
         2
         0
         0
         0
         1
         1
         1
         0
         1
         3
         2
         9
        20
        17
         6
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         2
         2
         0
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         2
         1
         1
         3
         3
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         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
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         3
         2
         2
         1
         3
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         4
         1
         0
         3
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         3
         3
         3
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         1
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         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
         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
         2
         0
         0
         0
         4
         1
         2
         0
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         4
         3
         3
         1
         1
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         4
         2
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         2
         1
         1
         0
         1
         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
         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
         1
         2
         4
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         2
         0
         0
         1
         1
         2
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         1
         1
         1
         1
         1
         2
         2
         3
         2
         4
         3
         2
         6
         1
         2
         1
         0
         0
         0
         1
         1
         2
         0
         2
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         3
         4
        11
         8
         5
         3
         2
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         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
         1
         0
         1
         1
         1
         2
         1
         2
         2
         3
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         4
         5
         7
         5
         5
         1
         3
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         2
         1
         0
         3
         0
         1
         5
         4
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         2
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         6
        12
        17
         6
         5
         4
         1
         2
         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
         1
         0
         0
         0
         0
         0
         1
         3
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         3
         4
         3
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         3
        11
         9
         3
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         2
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         3
         3
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         2
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         3
         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
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         2
         3
         3
         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
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         2
         0
         0
         0
         0
         1
         2
         2
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         2
         2
         1
         0
         0
         1
         2
         1
         1
         2
         3
         1
         1
         1
         1
         1
         1
         1
         0
         0
         0
         1
         4
         0
         0
         2
         0
         3
         1
         0
         0
         0
         2
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         4
         3
         4
         5
         2
         1
         0
         2
         2
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         2
         2
         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
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         1
         2
         1
         3
         3
         2
         7
         6
         2
         4
         2
         1
         1
         2
         2
         2
         0
         2
         2
         4
         2
         0
         1
         2
         2
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         2
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         4
         3
        11
         5
        10
         4
         2
         2
         3
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         3
         0
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         1
         3
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         1
         4
         4
         2
         4
         1
         0
         1
         1
         2
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         3
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         0
         0
         2
         0
         0
         0
         2
         3
         3
         1
         2
         3
         1
         0
         4
         2
         4
         3
         4
         1
         8
         2
         6
         2
         3
         3
         3
         2
         2
         0
         1
         1
         1
         1
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         2
         2
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         1
         1
         1
         0
         1
         0
         2
         2
         1
         8
        14
         8
        12
        15
         4
         1
         4
         1
         3
         1
         0
         0
         0
         1
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         2
         1
         2
         2
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         3
         0
         0
         1
         0
         0
         0
         2
         4
         8
         1
         2
         0
         1
         0
         2
         0
         1
         1
         1
         0
         1
         0
         2
         2
         3
         4
         4
         2
         2
         2
         4
         5
         0
         1
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         3
         9
        12
        12
         6
         4
         3
         0
         0
         4
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         4
         2
         2
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         3
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         5
         1
         2
         0
         1
         1
         0
         2
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         2
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         2
         2
         5
        14
         4
         4
         2
         1
         1
         2
         1
         0
         1
         0
         1
         0
         2
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         3
         1
         0
         0
         0
         1
         1
         1
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         2
         5
         0
         2
         2
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         3
         1
         1
         0
         0
         1
         2
         1
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         2
         0
         1
         0
         0
         2
         1
         1
         1
         0
         4
         1
         4
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         2
         1
         1
         1
         0
         1
         0
         0
         2
         1
         0
         0
         2
         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
         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
         1
         0
         1
         1
         2
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         1
         0
         1
         1
         1
         1
         2
         0
         2
         0
         2
         2
         2
         1
         2
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         3
         2
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         2
         0
         1
         0
         1
         1
         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
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         1
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         4
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         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
         1
         1
         1
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         1
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         2
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         2
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         3
         1
         1
         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
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         2
         0
         1
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         1
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         3
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         2
         2
         1
         0
         0
         0
         0
         1
         1
         1
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         3
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         2
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         2
         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
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         4
         2
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         4
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         2
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         3
         2
         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
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         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
         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
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         3
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         1
         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
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         3
         1
         3
         1
         1
         1
         1
         1
         1
         0
         1
         3
         3
         2
         6
         4
         4
         8
         6
         7
         7
         7
         4
         3
         4
         2
         4
         3
         1
         0
         5
         3
         0
         3
         0
         2
         3
         4
         1
         0
         1
         2
         0
         2
         2
         1
         0
         0
         0
         2
         1
         1
         2
         1
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         0
         0
         1
         1
         1
         4
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         2
         0
         1
         2
         1
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         2
         1
         0
         0
         1
         0
         0
         0
         2
         2
         1
         1
         3
         6
        15
        27
        34
        31
        26
        20
        20
        10
         6
         5
         5
         1
         2
         1
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         2
         3
         2
         2
         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
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         2
         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
         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
         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
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         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
         0
         0
         1
         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
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         2
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         4
         1
         1
         4
         2
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         2
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         2
         1
         1
         4
         1
         2
         0
         2
         0
         2
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         1
         1
         2
         0
         1
         5
         1
         3
         3
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         2
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         0
         2
         0
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
        84
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
        29
         0
         2
         0
         0
         2
         2
         0
         0
         1
         1
         0
         1
         0
         2
         2
         2
         2
         1
         1
         1
         2
         2
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         1
         0
         1
         1
         0
         1
         1
         1
         1
         2
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
        20
         1
         2
         1
         0
         2
         4
         2
         2
         0
         0
         0
         1
         0
         1
         0
         1
         0
         2
         3
         2
         3
         2
         2
         0
         2
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         2
         1
         1
         0
         1
         3
         3
         3
         1
         2
         2
         2
         1
         3
         1
         2
         1
         2
         3
         0
         5
        12
         5
         8
         8
         2
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         1
         0
         1
         0
         3
         2
         1
         1
         0
         0
         1
         1
         2
         2
         2
         1
         1
         0
         1
         1
         0
         0
         1
         1
         5
         1
         6
         3
         3
         3
         3
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         1
         0
         2
         1
         4
         2
         0
         1
         0
         0
         3
         0
         0
         1
         0
         4
         7
        10
         8
         6
         5
         6
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         2
         0
         2
         1
         3
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         2
         7
         1
         0
         2
         1
         0
         0
         0
         4
        19
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
        80
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         4
         0
         4
         4
         8
         5
         3
         3
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         3
         2
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         5
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         8
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
        22
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
        82
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         3
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
        72
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
        24
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
        10
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         1
         2
         0
         1
         0
         0
         1
         0
        10
         2
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
         2
         1
         1
         3
         1
         1
         4
         3
         2
         3
         1
         3
         0
         0
         3
         3
         2
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         1
         2
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         2
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         4
         3
         2
         4
         0
         2
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         2
         3
         1
         2
         3
         3
         2
         1
         4
         1
         4
         1
         4
         0
         3
         3
         5
         3
         0
         1
         1
         1
         1
         1
         0
         0
         1
         1
         0
         0
         2
         4
         3
         8
         7
         9
         2
         4
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         5
         5
         1
         2
         6
         0
         2
         1
         4
         2
         2
         0
         1
         2
         0
         2
         1
         2
         1
         0
         0
         1
         0
         1
        14
         0
         2
         2
         4
         1
         1
         3
         3
         2
         2
         1
         2
         0
         0
         0
         0
         2
         0
         1
         1
         0
         1
         0
         1
         1
         4
        13
        10
         6
         2
         5
         3
         9
        10
         4
         2
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
        15
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         3
         7
         1
         1
         1
         5
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         8
         5
         8
         7
         2
         3
         0
         1
         0
         3
         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
         1
         1
         0
         0
         0
        29
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
        10
         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
         2
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         6
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         4
        42
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         3
         0
         0
         0
        74
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         4
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         3
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         1
         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
         1
         1
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
        68
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
        24
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         3
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         0
         0
         1
         1
         1
         3
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         3
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         1
         1
         2
         1
         0
         0
         0
         0
         2
         0
         0
         3
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         2
         2
         1
         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
         0
         1
         0
         1
         1
         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
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         3
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         3
         0
         3
         1
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         2
         0
         1
         0
         1
         2
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         1
         2
         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
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         3
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         4
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         3
         0
         0
         2
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         2
         0
         1
         1
         0
         2
         5
         0
         2
         2
         0
         1
         1
         0
         0
         0
         0
         3
         0
         0
         0
         2
         1
         1
         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
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         4
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         4
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         2
         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
         1
         2
         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
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         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
         0
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         1
         0
         1
         0
         0
         0
         2
         0
         1
         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
         1
         0
         0
         0
         0
         2
         2
         0
         1
         1
         1
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         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
         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
         1
         0
         2
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         1
         0
         1
         1
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         2
         1
         1
         0
         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
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         1
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         4
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         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
         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
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         3
         2
         2
         1
         3
         3
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         2
         4
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         2
         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
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         3
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         1
         0
         2
         0
         3
         3
         5
         1
         2
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         4
         4
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         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
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         2
         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
         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
         1
         1
         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
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         2
         1
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         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
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         2
         0
         2
         1
         0
         0
         1
         1
         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
         2
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         1
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         2
         3
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         1
         4
         1
         2
         0
         0
         0
         2
         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
         2
         1
         1
         0
         2
         1
         1
         2
         0
         2
         1
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         2
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         1
         0
         0
         2
         0
         0
         0
         0
         2
         1
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         2
         1
         2
         2
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         3
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         3
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         2
         0
         0
         2
         1
         0
         1
         1
         0
         2
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         3
         1
         1
         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
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         2
         0
         0
         0
         1
         1
         2
         1
         1
         1
         2
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         3
         3
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         2
         1
         2
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         2
         1
         3
         2
         1
         0
         2
         0
         2
         0
         0
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         2
         3
         0
         3
         0
         1
         1
         2
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         3
         1
         2
         1
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         4
         5
         2
         3
         1
         0
         1
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         1
         1
         2
         0
         1
         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
         1
         0
         1
         0
         2
         2
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         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
         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
         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
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         1
         2
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         2
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         2
         0
         0
         1
         2
         2
         2
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         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
         1
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         1
         1
         2
         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
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         0
         0
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         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
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         2
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         3
         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
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         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
         2
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         1
         1
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         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
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         0
         0
         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
         1
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         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
         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
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         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
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         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
         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
         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
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         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
         1
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         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
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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