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_20020616T145602_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_20020616T145602_SP_N"
PRODUCT_CREATION_TIME           = 2006-10-09T19:55:21
PRODUCT_TYPE                    = "REFDR"
PROCESSING_LEVEL_ID             = 2
MISSION_ID                      = "ROSETTA"
MISSION_NAME                    = "INTERNATIONAL ROSETTA MISSION"
MISSION_PHASE_NAME              = "GROUND"
INSTRUMENT_HOST_ID              = "RO"
INSTRUMENT_HOST_NAME            = "ROSETTA-ORBITER"
INSTRUMENT_ID                   = "COSIMA"
INSTRUMENT_NAME                 = "COMETARY SECONDARY ION MASS ANALYZER"
INSTRUMENT_TYPE                 = "MASS SPECTROMETER"
INSTRUMENT_MODE_ID              = "SPECTRUM"
INSTRUMENT_MODE_DESC            = "TIME OF FLIGHT MASS SPECTRUM MEASUREMENT"
TARGET_NAME                     = "CALIBRATION"
TARGET_TYPE                     = "CALIBRATION"
START_TIME                      = 2002-06-16T14:56:02
STOP_TIME                       = 2002-06-16T14:58:45
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      = 5300
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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         5
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
     69999
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
     69998
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
     69996
         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
         2
         0
         0
         1
     69996
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         1
         1
         0
         2
         2
         4
         1
         4
         4
         3
         1
         7
         4
         4
         4
         5
         1
         4
         6
         0
         2
         4
         1
         1
         1
         3
         2
         1
         2
         1
         0
         3
         2
         2
         1
         1
         3
         1
         0
         0
         1
         1
         0
         1
         0
         1
         2
         2
         0
         1
         0
         0
         1
         1
         1
         3
         2
         0
         3
         3
         1
         2
         2
         1
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         3
         1
         2
         1
         2
         2
         1
         2
         4
         1
         1
         2
         1
         3
         4
         2
         3
         6
         2
         8
         4
         4
         8
        11
         4
         3
        10
         7
         4
         6
        10
        10
         8
         6
         7
         4
         5
         8
         3
         1
         5
         5
         5
         6
         1
         3
         1
         1
         7
         1
         5
         3
         8
         6
         3
         4
         5
         2
         7
         5
         5
         4
         6
         4
         3
         2
         3
         3
         1
         6
         4
         0
         4
         4
         6
         1
         1
         1
         4
         1
         2
         4
         1
         4
         2
         2
         0
         2
         0
         2
         1
         3
         1
         1
         3
         0
         1
         1
         1
         2
         1
         1
         0
         0
         1
         4
         1
         1
         0
         1
         1
         2
         1
         1
         1
         1
         1
         1
         0
         5
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         2
         1
         0
         0
         2
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         0
         0
         1
         0
         1
         0
        12
       146
       698
       804
       641
       550
       579
       650
       812
       901
       944
       931
       973
      1042
      1118
      1097
      1186
      1350
      1347
      1487
      1632
      1538
      1778
      1910
      1984
      1917
      1973
      2327
      5453
      5646
      2760
      1983
      5110
     16524
      5684
      1287
       901
       395
       347
       314
       312
       275
       280
       273
       278
       293
       415
       688
      1039
      1368
      1375
      1346
      1367
        49
       971
      1104
      1657
      2090
      1548
      1406
      1196
      1322
      1526
      1948
      2811
      1744
      1334
      1239
      1264
       304
      1955
      1762
      1380
      1046
       985
      1148
      1202
      1368
      1292
      1076
       999
      1009
      1045
      1090
      1273
       482
      1045
       984
       909
       958
       941
      1034
      1073
       931
       947
       939
       783
       916
       946
      1143
      1078
       489
       736
       701
       786
       985
      1034
       826
       712
       614
       654
       668
       777
       814
       664
       621
       581
       426
       613
       605
       596
       562
       505
       477
       492
       504
       537
       567
       467
       456
       833
       349
       488
       521
       349
       485
       384
       433
       346
       339
       433
       420
       402
       364
       319
       312
       293
       344
       426
       253
       271
       321
       295
       288
       302
       323
       265
       278
       292
       225
       260
       257
       304
       270
       244
       200
       257
       250
       270
       262
       226
       249
       276
       210
       221
       239
       233
       242
       241
       227
       191
       168
       227
       194
       209
       183
       163
       160
       138
       141
       189
       138
       113
       153
       146
       151
       147
       143
       156
       120
       119
       147
       117
       127
       101
        99
       112
        90
       103
       101
       109
       113
        69
        78
       100
        93
        73
        82
        78
        87
        71
        63
        69
        80
        75
        67
        66
        58
        60
        70
        74
        53
        60
        66
        67
        68
        49
        50
        37
        46
        59
        41
        40
        47
        62
        53
        44
        47
        48
        41
        42
        40
        37
        29
        34
        35
        35
        37
        39
        33
        39
        37
        28
        32
        39
        30
        20
        36
        25
        22
        24
        29
        26
        22
        18
        27
        18
        19
        26
        22
        27
        19
        21
        15
        19
        20
        26
        25
        19
        22
        22
        20
        18
        19
        19
        22
        20
        12
        18
        13
        15
        20
        12
        14
        16
         8
        17
        12
        10
        15
        17
        15
         9
        10
         7
        12
        14
        12
         6
         7
         9
        11
         8
        13
         7
         8
         8
         7
        15
         9
         5
         2
         9
         9
        10
         7
         7
         7
         7
         9
         8
        11
         3
         6
         4
         6
         4
         7
         8
        10
         5
         4
         5
         3
         9
         4
         5
         2
         8
         8
         3
        12
         5
         1
         7
         6
         3
         3
         1
         8
         3
         5
         2
         4
         6
         3
         5
         9
         6
         1
         3
         3
         3
         8
         4
         3
         5
         5
         9
         5
         4
         8
         6
        12
         4
         7
         5
         2
         9
        12
        10
         8
        14
         6
         5
         8
         8
        10
        12
         7
         5
         2
         6
        12
         7
         8
         3
         5
         9
         5
         6
         8
         4
        10
         7
         5
         8
         4
         5
         3
         3
         3
         7
         2
         4
         5
         3
         4
         7
         5
         3
         3
         2
         9
         2
         5
         1
         1
         3
         4
         2
         5
         2
         3
         2
         4
         4
         4
         3
         2
         2
         1
         1
         1
         0
         2
         0
         1
         0
         2
         6
         2
         4
         3
         0
         1
         2
         1
         1
         1
         3
         1
         2
         3
         1
         3
         5
         1
         2
         0
         2
         2
         4
         1
         0
         2
         2
         4
         2
         2
         1
         5
         4
         3
         3
         3
         3
         8
         2
         4
         4
         3
         7
         7
         5
         6
         5
         8
         3
         8
        10
         8
        10
         7
         8
        10
        10
         4
         4
         7
        13
        12
         6
         4
         4
        10
         8
         7
         7
         6
         7
         5
         4
         6
         5
         4
         4
         9
         7
         4
         1
         8
         5
         7
         5
         7
        11
        12
         4
         9
         4
        14
         4
        10
         7
         9
        10
        12
        19
        11
        19
        11
        17
        14
        17
        13
        14
        10
        14
        11
        12
        14
        27
        17
        16
        22
         8
        19
        20
        17
        29
        14
        27
        26
        15
        11
        17
        17
        15
        20
        21
        12
        16
        13
         8
        13
        15
         8
        13
        15
         9
        16
        14
        10
         9
        13
         6
         7
         9
        10
         7
        13
        10
         7
         9
        11
         6
        10
        10
        12
        11
         5
         9
        10
        12
         7
         7
         7
         9
         6
         8
         5
        10
         7
         8
         2
         9
         7
         6
         5
         2
         2
         8
         8
         7
         2
         4
         6
         4
         4
         2
         1
        10
         3
         1
         1
         4
         5
         4
         5
         5
         3
         5
         9
         6
         4
         1
         3
         4
        14
         5
         5
         6
        10
         9
         7
         5
         9
         7
        12
        19
        18
        31
        40
        82
        76
        37
        21
        17
        14
        19
        21
        20
        24
        24
         8
        20
        14
        24
        13
        12
        16
        21
        14
        14
        27
        12
        15
        21
        10
        15
        17
        21
        13
        18
        17
        13
        17
        12
        15
        13
        23
        16
        17
        13
        16
        16
        12
        11
        17
         8
        17
        11
        11
        13
         7
        11
         8
         6
        10
         9
         7
         9
        11
        12
         5
         4
         7
         8
         6
         7
         9
         4
         5
         4
         6
         6
         6
         6
         8
         5
         8
         2
         8
         7
         6
         7
         3
         2
         3
         4
         2
         4
         2
         2
         4
         9
        10
         6
         5
         3
         3
         5
         5
         3
        10
         5
         6
         4
         2
         2
         9
         4
         8
         3
         0
         8
         6
         4
         4
         4
         3
         4
         5
         3
         5
         9
         7
         4
         6
         3
         9
         0
         7
         6
         2
         3
         6
         5
         3
         3
         4
         7
         6
         3
         3
         4
         2
         9
         7
         1
         6
        12
         3
         2
         1
         8
         7
         7
         4
         5
         6
         5
         7
         5
         4
         4
         8
         8
         3
         7
         5
         1
         4
         4
         5
         6
         7
         6
         4
         4
         3
         7
         2
         5
         9
         5
         8
         2
         4
         5
         0
         3
         4
         5
         5
         2
         4
         4
         1
         3
         1
         3
         3
         1
         2
         3
         2
         4
         4
         1
         4
         1
         4
         3
         5
         1
         4
         1
         2
         4
         3
         6
         3
         5
         6
         0
         4
         3
         2
         6
         2
         5
         5
         5
         2
         2
         2
         4
         4
         5
         5
         4
         1
         3
         2
         2
         3
         3
         1
         3
         3
         3
         3
         2
         3
         4
         1
         3
         2
         4
         1
         3
         1
         2
         2
         0
         4
         0
         0
         2
         3
         0
         6
         2
         2
         3
         4
         3
         2
         5
         1
         4
         2
         1
         2
         1
         4
         2
         6
         1
         2
         5
        18
        53
        69
        46
        35
        32
        20
        15
        17
        12
         8
        15
        19
        13
        16
         7
         5
         1
         5
         2
         6
         6
         7
         4
         8
         6
         5
         7
         5
         5
         6
         2
         5
         5
         4
         6
         8
         5
         5
         3
         4
         5
         4
         5
         1
         2
         7
         2
         0
         6
         4
         3
         2
         1
         2
         4
         3
         0
         1
         3
         4
         1
         1
         1
         2
         3
         0
         2
         2
         2
         0
         3
         2
         5
         6
         4
         2
         2
         1
         2
         2
         2
         1
         1
         4
         2
         0
         1
         5
         1
         2
         4
         4
         1
         3
         2
         1
         8
         2
         5
         1
         4
         3
         1
         3
         3
         4
         3
         3
         1
         2
         3
         4
         3
         6
         3
         2
         4
         2
         1
         1
         6
         5
         3
         3
         3
         2
         0
         0
         5
         3
         3
         1
         2
         2
         1
         3
         2
         2
         3
         6
         2
         1
         2
         5
         4
         3
         0
         2
         3
         0
         2
         5
         2
         4
         4
         1
         1
         2
         4
         2
         1
         4
         2
         3
         0
         1
         2
         3
         1
         5
         1
         0
         2
         2
         2
         2
         2
         1
         2
         2
         1
         2
         2
         2
         2
         0
         0
         1
         0
         0
         3
         2
         4
         1
         0
         1
         0
         0
         2
         1
         2
         0
         0
         1
         3
         2
         2
         2
         2
         1
         1
         1
         0
         1
         1
         0
         2
         2
         2
         1
         1
         1
         2
         3
         3
         3
         4
         6
         1
         2
         5
         0
         2
         1
         3
         5
         3
         1
         1
         3
         1
         3
         5
         2
         4
         2
         0
         6
         2
         2
         1
         0
         6
         5
         4
         1
         5
         2
         4
         2
         3
         0
         2
         2
         4
         2
         2
         1
         3
         2
         5
         2
         2
         2
         3
         3
         1
         5
         3
         4
         4
         2
         4
         3
         0
         2
         3
         7
         1
         4
         3
         3
         0
         3
         0
         0
         1
         0
         1
         1
         2
         1
         3
         5
         1
         1
         2
         3
         1
         0
         1
         1
         2
         0
         3
         4
         1
         2
         1
         2
         2
         0
         0
         1
         2
         4
         7
         1
         4
         1
         3
         1
         2
         2
         1
         0
         3
         1
         1
         1
         2
         1
         3
         0
         1
         3
         3
         1
         1
         1
         7
         1
         0
         2
         1
         3
         3
         2
         0
         2
         2
         1
         1
         2
         2
         0
         2
         2
         2
         1
         3
         2
         0
         2
         0
         2
         2
         1
         1
         3
         1
         1
         1
         4
         1
         1
         1
         3
         0
         0
         1
         2
         1
         3
         2
         1
         0
         1
         4
         1
         3
         0
         2
         1
         1
         2
         1
         3
         0
         5
         1
         2
         2
         2
         1
         1
         1
         0
         1
         1
         1
         0
         3
         1
         2
         1
         0
         5
         0
         1
         0
         1
         1
         2
         1
         1
         2
         0
         1
         1
         1
         1
         0
         2
         0
         0
         1
         1
         1
         1
         1
         1
         1
         2
         2
         0
         3
         1
         2
         1
         2
         0
         1
         1
         1
         0
         0
         1
         0
         1
         2
         1
         0
         1
         2
         2
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         3
         1
         1
         1
         0
         3
         2
         1
         2
         0
         3
         1
         0
         1
         0
         2
         2
         0
         0
         1
         1
         2
         0
         1
         1
         2
         0
         1
         0
         3
         0
         0
         1
         1
         1
         0
         1
         2
         3
         1
         0
         1
         0
         1
         2
         2
         1
         2
         1
         3
         3
         1
         1
         0
         2
         0
         0
         1
         1
         0
         2
         1
         4
         3
         2
         2
         1
         1
         0
         5
         4
         2
         1
         1
         0
         3
         3
         0
         0
         2
         1
         6
         0
         0
         1
         2
         3
         2
         0
         1
         4
         2
         1
         2
         2
         3
         0
         0
         1
         2
         2
         1
         2
         3
         1
         3
         3
         5
         3
         9
        22
        43
        38
        49
        68
        95
       224
       775
      1009
       381
       150
        96
        81
        52
        49
        50
        39
        36
        29
        47
        40
        42
        40
        29
        35
        24
        24
        34
        32
        28
        30
        36
        32
        26
        26
        21
        32
        25
        36
        24
        25
        25
        22
        11
        23
        21
        18
        26
        14
        17
        19
        17
        14
        19
        18
        13
        20
        17
        15
        16
        16
        14
        13
        16
        12
         8
        11
         8
         8
         8
         7
        14
         6
        10
         8
        13
         8
        11
        15
         9
         7
         8
         7
        13
         5
         7
         9
         4
         9
        10
         9
         8
         7
        10
         6
         6
         7
         5
        11
         6
         6
         5
         3
         9
         7
         1
         4
         4
         3
         7
         6
         2
         4
         8
         6
         4
         5
         2
         4
         8
         4
         4
         1
         9
         4
         1
         1
         9
         9
         0
         3
         3
         3
         8
         4
         5
         5
         3
         4
         2
         4
         6
         3
         6
         1
         4
         7
         5
         2
         2
         2
         7
         3
         3
         0
         4
         2
         0
         1
         2
         3
         2
         3
         1
         2
         0
         2
         1
         4
         0
         2
         3
         3
         2
         3
         5
         4
         5
         3
         2
         2
         4
         3
         3
         1
         2
         1
         2
         1
         0
         0
         1
         2
         0
         0
         1
         4
         1
         0
         1
         2
         1
         2
         1
         1
         0
         1
         1
         3
         1
         3
         1
         0
         2
         1
         1
         1
         1
         0
         0
         3
         2
         1
         2
         1
         2
         1
         0
         2
         1
         0
         1
         0
         1
         3
         0
         1
         3
         0
         0
         2
         1
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         4
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         2
         0
         1
         1
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         2
         2
         0
         1
         0
         0
         1
         2
         0
         3
         1
         2
         0
         1
         0
         2
         1
         1
         2
         2
         0
         1
         1
         2
         3
         0
         1
         4
         1
         1
         4
         0
         1
         1
         3
         1
         0
         4
         0
         1
         2
         0
         1
         0
         1
         2
         0
         1
         1
         0
         1
         1
         1
         1
         1
         0
         0
         1
         1
         1
         4
         0
         0
         1
         1
         1
         0
         1
         1
         1
         0
         2
         1
         0
         0
         0
         2
         0
         0
         2
         2
         1
         0
         1
         2
         1
         1
         1
         1
         0
         3
         2
         0
         1
         2
         2
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         3
         1
         1
         0
         2
         1
         0
         0
         2
         2
         0
         0
         1
         1
         2
         0
         1
         0
         0
         2
         1
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         1
         2
         2
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         0
         4
         2
         3
         3
         1
         2
         0
         2
         1
         3
         2
         1
         2
         2
         1
         1
         2
         0
         2
         1
         2
         1
         0
         1
         1
         0
         1
         2
         0
         1
         2
         4
         1
         0
         2
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         1
         2
         0
         0
         0
         0
         1
         1
         0
         2
         2
         1
         1
         0
         2
         2
         1
         0
         3
         0
         4
         1
         2
         2
         3
         1
         3
         0
         0
         4
         1
         1
         1
         1
         0
         2
         0
         3
         1
         1
         0
         4
         1
         1
         1
         1
         0
         2
         1
         2
         1
         3
         2
         2
         0
         0
         2
         2
         3
         2
         0
         1
         0
         1
         1
         2
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         1
         0
         1
         0
         0
         2
         1
         0
         0
         3
         2
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         1
         2
         0
         0
         1
         1
         0
         0
         1
         1
         3
         0
         0
         0
         0
         2
         1
         0
         1
         0
         2
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         3
         1
         0
         0
         2
         2
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         1
         2
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         3
         2
         0
         1
         0
         2
         0
         1
         2
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         3
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         3
         2
         1
         0
         2
         1
         2
         3
         1
         1
         0
         0
         2
         0
         2
         0
         2
         1
         2
         1
         1
         2
         0
         1
         2
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         2
         2
         0
         0
         1
         0
         2
         0
         0
         2
         3
         1
         1
         0
         1
         1
         1
         0
         1
         1
         1
         0
         1
         1
         1
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         4
         0
         1
         0
         1
         0
         0
         2
         2
         0
         0
         0
         1
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         2
         0
         2
         1
         0
         0
         0
         3
         0
         0
         2
         2
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         3
         0
         0
         0
         0
         0
         2
         1
         1
         1
         2
         1
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         2
         0
         2
         1
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         2
         0
         1
         1
         0
         0
         2
         0
         1
         1
         2
         0
         1
         0
         0
         2
         1
         2
         1
         2
         2
         2
         2
         2
         1
         2
         1
         1
         2
         3
         1
         1
         3
         1
         4
         2
         1
         3
         3
         4
         4
         5
         3
         1
         4
         2
         1
         2
         1
         0
         3
         1
         3
         0
         1
         0
         1
         0
         2
         0
         0
         1
         4
         1
         0
         0
         2
         1
         0
         2
         1
         0
         0
         1
         1
         0
         2
         1
         1
         1
         1
         0
         0
         1
         2
         0
         2
         0
         4
         0
         1
         2
         1
         0
         1
         0
         2
         1
         0
         2
         1
         0
         2
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         3
         0
         1
         1
         0
         2
         0
         4
         1
         4
         1
         3
         0
         2
         1
         5
         0
         1
         1
         2
         1
         1
         1
         0
         2
         0
         0
         2
         1
         0
         1
         1
         0
         1
         2
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         2
         2
         2
         2
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         3
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         2
         1
         1
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         1
         1
         3
         1
         1
         1
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         2
         1
         2
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         2
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         1
         2
         0
         1
         0
         1
         0
         0
         2
         1
         0
         1
         1
         0
         3
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         3
         0
         2
         1
         2
         1
         1
         1
         0
         3
         4
         0
         1
         2
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         3
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         3
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         1
         1
         3
         2
         3
         1
         1
         4
         0
         0
         2
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         2
         0
         2
         0
         1
         0
         1
         1
         0
         0
         3
         2
         2
         0
         0
         0
         1
         1
         1
         5
         2
         0
         0
         1
         1
         0
         2
         0
         2
         0
         1
         0
         2
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         4
         0
         1
         1
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         1
         2
         0
         0
         0
         2
         0
         2
         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
         2
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         3
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         2
         1
         0
         1
         0
         0
         0
         1
         2
         0
         2
         6
         1
         3
         2
         0
         4
         4
         2
         1
         2
         1
         1
         1
         4
         2
         3
         1
         0
         0
         1
         0
         1
         2
         3
         1
         1
         4
         1
         3
         1
         2
         0
         0
         2
         0
         1
         0
         2
         1
         3
         0
         2
         0
         2
         1
         0
         0
         1
         0
         1
         2
         0
         3
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         2
         2
         0
         1
         0
         2
         2
         2
         2
         1
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         1
         0
         2
         3
         2
         3
         4
         0
         1
         0
         3
         0
         3
         0
         0
         0
         2
         1
         2
         1
         0
         2
         2
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         1
         0
         1
         0
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         3
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         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
         1
         1
         2
         1
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         3
         0
         0
         1
         1
         2
         0
         2
         2
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         3
         4
         6
         2
         1
         3
         2
         2
         0
         1
         1
         0
         0
         4
         3
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         1
         0
         1
         2
         1
         1
         2
         3
         5
         1
         0
         0
         1
         2
         1
         3
         0
         0
         0
         1
         1
         1
         3
         2
         1
         3
        11
         8
        13
         9
         4
         1
         2
         2
         2
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         2
         0
         1
         1
         1
         0
         2
         1
         1
         2
         0
         1
         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
         2
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         3
         3
         7
         7
        10
        14
        20
        11
         7
         8
         3
         7
         6
         4
         3
         6
         7
         6
         5
         1
         4
         7
         2
         2
         2
         1
         5
        28
        76
        56
        25
         3
         8
         4
         5
         3
         2
         2
         3
         1
         1
         0
         2
         1
         1
         1
         1
         0
         1
         0
         1
         1
         1
         1
         2
         1
         2
         0
         2
         1
         2
         1
         1
         1
         1
         0
         1
         1
         0
         3
         0
         0
         2
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         2
         1
         1
         0
         3
         1
         1
         0
         0
         0
         0
         1
         0
         2
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         1
         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
         1
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         3
         1
         3
         0
         1
         4
         2
         1
         2
         2
         1
         0
         2
         1
         1
         2
         0
         1
         1
         2
         2
         0
         0
         2
         1
         2
        14
        16
         8
         1
         2
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         3
         1
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         3
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         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
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         2
         1
         0
         3
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         0
         0
         2
         1
         0
         0
         2
         1
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         3
         0
         2
         0
         0
         1
         1
         2
         1
         0
         0
         3
         1
         3
         5
         6
        20
        13
        13
        25
        15
        24
        25
        25
        28
        25
         9
         7
        15
         9
         4
        10
         8
         3
         2
         3
         5
         7
        12
        14
        17
        13
         5
         8
         9
        26
       123
       232
       142
        64
        26
        10
         5
         6
         4
         3
         6
         7
         3
         4
         9
         4
         5
         2
         3
         1
         3
         1
         6
         3
         1
         2
         3
         0
         4
         2
         2
         1
         0
         0
         2
         4
         3
         2
         2
         1
         0
         2
         2
         2
         3
         2
         2
         2
         2
         3
         1
         0
         2
         0
         2
         1
         2
         0
         1
         1
         1
         1
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         3
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         3
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         3
         1
         2
         1
         3
         6
         7
         9
         9
         5
        14
        15
        10
         9
         8
        15
         9
         6
         5
         5
         5
         4
         4
         1
         4
         2
         1
         2
         4
         1
         8
         5
         3
         1
         2
         3
        12
        73
       104
        66
        36
         6
         2
         4
         2
         4
         3
         1
         3
         3
         0
         1
         3
         1
         2
         1
         2
         1
         2
         1
         4
         3
         2
         2
         1
         0
         1
         0
         3
         1
         2
         0
         1
         1
         1
         1
         3
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         2
         0
         1
         1
         3
         1
         0
         0
         1
         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
         2
         0
         0
         0
         0
         1
         1
         0
         1
         2
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         3
         0
         2
         4
         4
         5
         6
         6
         3
         2
         2
         1
         0
         4
         3
         2
         2
         1
         2
         2
         1
         0
         0
         1
         2
         0
         1
         1
         1
         0
         1
         1
         2
        12
        29
        36
         9
         6
         2
         1
         0
         2
         1
         0
         1
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         2
         1
         2
         5
         6
         4
         3
         4
         3
         5
         2
         4
         2
         0
         1
         4
         4
         0
         1
         1
         1
         1
         1
         1
         0
         1
         0
         0
         0
         1
         3
         0
         2
         2
         2
         2
         0
         0
         2
         6
        26
        26
        11
         3
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         2
         2
         3
         4
         7
         6
         9
         8
        11
        17
         7
         5
        12
         4
         4
         2
         2
         4
         3
         2
         2
         5
         2
         5
         6
         4
         1
         0
         0
         8
         4
         5
         2
         4
         2
         1
         2
         4
         3
        13
        68
        91
        39
        16
         7
         4
         2
         0
         6
         3
         0
         0
         0
         3
         2
         1
         0
         1
         2
         0
         0
         1
         2
         1
         3
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         1
         2
         0
         0
         1
         1
         1
         0
         0
         1
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         5
         3
         4
         2
         4
         9
         5
         8
        10
        15
        29
        20
        10
        21
         8
        12
        10
         6
         3
         8
         4
         2
         5
         2
         3
         4
         2
         4
         6
         6
         2
         1
         2
         5
         4
         3
         7
         2
         0
         4
         2
         1
         2
         5
        51
       112
        73
        20
         6
         1
         2
         3
         2
         2
         0
         2
         0
         1
         2
         3
         0
         2
         1
         1
         1
         4
         1
         3
         0
         0
         2
         1
         3
         0
         1
         0
         2
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         2
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         2
         0
         2
         6
         0
         3
         3
         3
         2
         3
         3
         1
         2
         1
         1
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
         2
         0
         1
         0
         1
         2
         0
         2
         0
         2
         0
         1
         1
         0
         1
         1
         2
        12
        18
        17
         5
         3
         2
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         1
         2
         4
         3
         3
         2
         4
         3
         1
         1
         2
         3
         0
         0
         0
         3
         2
         1
         0
         1
         1
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         3
         1
         2
         7
        13
        11
         6
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         2
         0
         0
         1
         6
         6
         5
         7
         4
         8
         8
        16
        12
        12
        11
        16
         5
         7
         6
         2
         2
         3
         5
         5
         4
         3
         2
         3
         1
         5
         4
         3
         1
         0
         7
         3
         4
         2
         3
         1
         6
         4
         3
         6
         2
         1
         7
         2
         0
         4
         4
         2
        34
        82
        67
        31
        16
         6
         2
         3
         1
         1
         1
         1
         0
         1
         2
         2
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         2
         0
         2
         0
         2
         0
         1
         1
         1
         3
         1
         0
         0
         2
         0
         3
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         3
         1
         0
         2
         0
         2
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         1
         4
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         2
         2
         2
         6
         7
         6
         4
         4
         9
         5
         3
         1
         0
         2
         1
         1
         0
         0
         1
         1
         2
         1
         3
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         3
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         2
         8
        25
        23
         4
         4
         1
         4
         2
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         6
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         1
         0
         0
         0
         0
         5
         1
         2
         1
         2
         2
         2
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         2
         1
         0
         0
         1
         0
         0
         1
         2
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         3
         3
         4
         2
         2
         4
         0
         0
         0
         2
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         1
         0
         0
         2
         2
         1
         3
         0
         3
         3
         2
         2
         4
         2
         1
         0
         1
         2
         3
         2
         1
         0
         1
         1
         0
         3
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         2
         1
         1
         1
         2
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         2
         4
         8
        15
         7
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         2
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         3
         1
         1
         1
         2
         3
         0
         0
         5
         1
         3
         5
         5
         4
         2
         3
         2
         2
         2
         2
         2
         2
         2
         1
         0
         2
         1
         1
         1
         0
         2
         1
         2
         0
         0
         2
         1
         1
         0
         1
         3
         3
         0
         0
         4
         1
         1
         0
         1
         2
         3
         3
         2
         1
         1
         0
        12
        17
        22
         7
         2
         0
         2
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         2
         1
         0
         1
         1
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         1
         2
         5
         6
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         3
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         1
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         2
         1
         2
         2
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         3
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         3
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         2
         0
         1
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         6
         4
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         1
         3
         1
         2
         2
         1
         3
         1
         2
         0
         3
         1
         0
         0
         0
         2
         1
         2
         0
         0
         2
         0
         1
         1
         1
         1
         3
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         9
         6
         4
        14
         9
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         1
         1
         2
         0
         2
         2
         0
         2
         0
         0
         2
         1
         2
         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
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         2
         1
         2
         1
        10
         5
         5
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         1
         3
         3
         5
         2
         0
         0
         1
         1
         2
         1
         3
         4
         0
         0
         4
         1
         1
         0
         0
         0
         0
         0
         1
         2
         2
         1
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         9
        17
        13
        14
         7
         2
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         3
         1
         1
         1
         3
         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
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         2
         5
         1
         2
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         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
         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
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         3
         1
         0
         0
         3
         5
         4
         1
         1
         0
         1
         2
         0
         0
         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
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         2
         0
         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
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         3
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         2
         0
         2
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         2
         1
         0
         2
         2
         1
         1
         0
         1
         0
         2
         1
         1
         1
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         2
         1
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         4
         4
         5
         4
         1
         0
         0
         0
         0
         0
         2
         1
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         2
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         2
         1
         0
         0
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         4
         1
         1
         2
         0
         0
         1
         0
         2
         0
         5
         0
         1
         4
         5
         6
         0
         3
         0
         3
         2
         3
         1
         2
         0
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         2
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         2
         1
         1
         4
        12
        13
         8
        11
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         4
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         4
         1
         5
         2
         1
         2
         1
         4
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         1
         1
         0
         0
         0
         1
         1
         1
         2
         0
         1
         0
         2
         0
         1
         2
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         0
         1
         0
         0
         0
         1
         4
         5
         1
         0
         2
         2
         0
         1
         4
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         0
         2
         1
         0
         0
         0
         2
         0
         2
         3
         0
         1
         1
         0
         7
         4
         6
         0
         7
         4
         3
         2
         2
         2
         3
         1
         1
         0
         2
         3
         0
         3
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         2
         1
         1
         1
         0
         0
         0
         1
         8
        10
        12
        16
         8
        12
         5
         1
         4
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         3
         0
         0
         2
         1
         1
         1
         2
         0
         2
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         4
         3
         2
         1
         1
         1
         1
         2
         2
         1
         0
         1
         2
         2
         0
         3
         1
         1
         5
         0
         5
         5
         3
         3
         1
         1
         0
         1
         1
         0
         2
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         0
         4
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         6
        10
        10
        16
         7
         3
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         4
         1
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         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
         2
         1
         1
         3
         0
         2
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         3
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         3
         1
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         2
         2
         4
         3
         3
         2
         3
         2
         2
         2
         2
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         3
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         2
         1
         2
         2
         2
         7
         7
         2
         4
         5
         2
         0
         1
         0
         0
         2
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         2
         0
         2
         3
         0
         1
         0
         3
         0
         1
         1
         0
         0
         0
         1
         1
         0
         2
         0
         1
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         1
         1
         3
         2
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         3
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         2
         3
         3
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         4
         6
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         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
         1
         1
         0
         0
         1
         1
         0
         1
         2
         0
         2
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         1
         1
         2
         1
         1
         1
         2
         1
         1
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         3
         5
         2
         2
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         4
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         2
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         4
         1
         2
         0
         0
         0
         0
         2
         1
         1
         2
         3
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         3
         0
         0
         0
         0
         3
         1
         0
         4
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         2
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         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
         1
         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
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         1
         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
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         2
         0
         0
         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
         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
         2
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         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
         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
         1
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         3
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         3
         3
         0
         2
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         2
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         1
         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
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         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
         1
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         3
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         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
         1
         0
         1
         0
         1
         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
         2
         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
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         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
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         3
         1
         1
         0
         0
         1
         0
         1
         1
         1
         1
         2
         1
         1
         5
         1
         0
         3
         5
         3
         4
         2
         3
         6
         3
         7
         7
         0
         8
         5
         7
         4
         3
         5
         1
         0
         0
         3
         1
         2
         2
         1
         1
         1
         1
         0
         3
         1
         2
         3
         2
         1
         1
         0
         1
         3
         1
         0
         1
         1
         1
         1
         1
         0
         1
         0
         0
         3
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         3
         0
         0
         0
         0
         0
         0
         3
         1
         1
         0
         0
         1
         1
         0
         0
         2
         0
         2
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         1
         1
         0
         3
         1
         2
         2
         0
        10
        23
        26
        33
        39
        25
        26
        13
         5
         2
         2
         4
         1
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         4
         0
         0
         1
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         2
         0
         2
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         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
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         2
         0
         1
         1
         0
         2
         1
         1
         1
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         3
         0
         1
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         2
         2
         2
         0
         3
         1
         3
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         3
         0
         1
         0
         1
         2
         0
         1
         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
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         2
         0
         1
         1
         0
         1
         0
         0
         3
         0
         0
         0
         1
         2
        87
         1
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         4
        42
         0
         1
         1
         0
         1
         0
         1
         0
         2
         0
         0
         1
         0
         3
         0
         2
         1
         0
         1
         0
         0
         1
         3
         1
         0
         0
         2
         1
         1
         0
         3
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         2
         2
         7
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
        10
        40
         3
         5
         0
         1
         0
         3
         1
         0
         0
         0
         0
         0
         1
         2
         5
         4
         1
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         1
         1
         0
         1
         1
         1
         1
         3
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         2
         0
         2
         1
         3
         3
         2
         1
         2
         1
         1
         1
         3
         1
         1
         3
         0
         1
         4
         0
         6
         8
         8
         3
         1
         3
         2
         0
         1
         1
         1
         0
         0
         2
         0
         1
         1
         0
         0
         0
         1
         0
         1
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         3
         0
         0
         2
         0
         2
         0
         1
         1
         0
         2
         0
         1
         1
         1
         0
         2
         3
         8
         3
         5
         6
         2
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         2
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         3
         1
         0
         0
         1
         0
         2
         1
         3
         2
         0
         2
         1
         4
         2
         4
         2
         1
         1
         0
         1
         4
         5
         7
         8
        13
         8
         3
         1
         1
         4
         1
         1
         0
         1
         1
         0
         2
         1
         0
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         3
         1
         0
         0
         2
         0
         0
         0
         0
         2
         1
         0
         0
         1
         2
         3
         4
         4
         0
         3
         2
         1
         0
         1
         1
         3
         0
         1
         1
         1
        15
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         2
        87
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         2
         2
         3
         9
         8
         3
         2
         0
         1
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         3
         3
         2
         2
         2
         1
         1
         0
         0
         0
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         1
         0
         0
         1
         0
         0
         3
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         7
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         6
        94
         0
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         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
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         2
         1
         0
         0
         0
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         3
        68
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
        25
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         1
        10
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         4
        14
         0
         0
         0
         0
         0
         0
         4
         0
         0
         1
         2
         1
         2
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         2
         0
         1
         3
         2
         0
         0
         3
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         1
         1
         1
        18
         0
         1
         1
         0
         0
         1
         2
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         1
         2
         4
         2
         1
         1
         3
         2
         0
         1
         0
         1
         1
         1
         0
         2
         0
         1
         0
         0
         1
         1
         1
         2
         0
         0
         2
         2
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         3
         0
         0
         1
         1
         1
         1
         1
         1
         1
         4
         4
         3
         1
         2
         2
         3
         2
         2
         0
         2
         1
         2
         0
         0
         0
         1
         1
         0
         0
         1
         3
         5
         0
         3
         1
         0
         0
         2
         1
         1
         1
         1
         1
         0
         1
         0
         1
         0
         1
         2
         0
         0
         1
         0
         3
         2
         2
         1
         1
         1
         4
         0
         2
         1
         4
         0
         3
         3
         1
         0
         0
         0
         1
         0
         1
         1
         2
         1
         2
         1
         5
         3
         8
         7
         3
         1
         2
         0
         2
         2
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         6
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         3
         2
         5
         6
         6
         2
         0
         2
         1
         2
         0
         1
         1
         1
         0
         2
         2
         0
         0
         0
         1
         1
         1
         0
         0
         2
         3
         3
         2
         1
        12
         1
         2
         3
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         1
         1
         1
         1
         2
         0
         3
         1
         3
        11
         5
         9
         7
         7
         7
         4
         3
         2
         2
         0
         0
         0
         0
         2
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         9
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         3
         2
         1
         6
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         4
         7
         5
         7
         6
         3
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         1
        23
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
        12
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         2
         4
         0
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         1
         5
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
        10
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
        50
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         1
         0
         0
         2
         0
         0
         1
         0
         4
        86
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         3
         0
         0
         0
         0
         2
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         2
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         1
         1
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
        60
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
        28
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         2
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         2
         0
         1
         1
         1
         1
         0
         0
         0
         3
         0
         0
         0
         0
         1
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         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
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         2
         1
         0
         2
         0
         1
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         2
         2
         0
         3
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         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
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         3
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         2
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         1
         2
         0
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         0
         1
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         2
         1
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         2
         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
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         3
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         2
         1
         0
         0
         0
         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
         0
         0
         1
         1
         0
         1
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         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
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         2
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         1
         1
         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
         2
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         2
         2
         2
         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
         1
         1
         0
         1
         0
         0
         3
         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
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         1
         1
         2
         1
         2
         0
         3
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         1
         1
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         3
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         2
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         1
         1
         0
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         1
         1
         0
         0
         2
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         2
         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
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         2
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         3
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         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
         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
         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
         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
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         1
         1
         0
         0
         1
         1
         0
         1
         2
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         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
         2
         0
         1
         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
         2
         0
         0
         1
         0
         0
         0
         1
         0
         3
         1
         3
         5
         2
         4
         2
         2
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         2
         1
         3
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         1
         2
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         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
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         2
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         1
         0
         2
         2
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         2
         1
         0
         1
         2
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         2
         0
         2
         2
         4
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         0
         4
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         1
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         2
         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
         1
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         1
         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
         0
         1
         0
         0
         0
         0
         0
         2
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         2
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         2
         1
         2
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         1
         2
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         2
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         2
         0
         1
         1
         0
         1
         2
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         2
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         2
         1
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         2
         1
         1
         3
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         2
         3
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         4
         1
         4
         2
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         3
         0
         4
         0
         1
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         2
         5
         2
         0
         1
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         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
         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
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         2
         0
         2
         0
         2
         0
         0
         0
         0
         0
         4
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         4
         0
         1
         3
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         3
         2
         2
         4
         1
         1
         0
         0
         1
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         2
         2
         0
         1
         3
         1
         0
         3
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         2
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         2
         0
         3
         1
         2
         3
         0
         1
         4
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         1
         1
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         4
         2
         1
         1
         2
         1
         1
         1
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         3
         1
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         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
         2
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         1
         1
         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
         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
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         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
         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
         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
         2
         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
         2
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         2
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         2
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         1
         3
         2
         0
         2
         3
         1
         3
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         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
         2
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         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
         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
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         2
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         1
         0
         1
         1
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         1
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         1
         0
         1
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         1
         2
         0
         0
         0
         1
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         2
         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
         1
         1
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         2
         0
         3
         0
         0
         2
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         2
         2
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         2
         0
         0
         0
         1
         1
         0
         0
         0
         2
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         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
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         1
         0
         2
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         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
         1
         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
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         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
         1
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         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
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         2
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         2
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         3
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         1
         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
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         2
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         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
         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
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         1
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         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
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         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
         0
         1
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         3
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         2
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         2
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         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
         0
         1
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         1
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         2
         0
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         1
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         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
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         1
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         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
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         1
         0
         1
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         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
         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
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         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
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         2
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         0
         0
         0
         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
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         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
         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
         1
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         0
         1
         0
         0
         1
         0
         0
         0
         0
         0
         0
         0
         1
         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