Input: 0.41389227 0.0013515577 0.0018252995 0.00071545923 0.006159856 0.00034652217 0.0071170325 0.0016041796 0.025785007 0.00047313605 0.00070758373 0.0010783382 0.0007324219 0.0013994165 0.0015963041 0.00040467974 0.0017592665 0.00044284566 0.00040043908 0.0008335918 0.00072878704 0.00010662221 0.00021506184 0.00017629012 0.0013230847 0.0009165875 0.0018071253 0.0026922107 0.0010680396 0.00015629847 0.0003719661 0.000111468675 0.10229492 0.000167203 0.00015751008 0.00026413228 0.00089538423 0.00026413228 0.00012843129 0.0038583912 0.006175001 0.0029527082 0.0004846464 0.00038105322 0.005379575 0.00029624012 0.0032519773 0.0014575741 0.0038674783 0.001504827 0.00079300266 0.00038044743 0.0040498264 0.0023923358 0.0035264085 0.00023868836 0.00085721834 0.0002277838 0.009139826 9.329443e-05 0.0018059136 0.0029775463 0.00099716 0.00024898708 0.0061859055 0.009283402 0.0014933167 0.0065645357 0.0067892903 0.009022298 0.0033089232 0.0014181965 0.0019791748 0.0065463614 0.0006524552 0.0007106128 0.0074865753 0.0026213313 0.0068038297 0.0069298376 0.005878761 0.00044163404 0.0072751483 0.005303849 0.010743399 0.0034470474 0.001306122 0.0010086703 0.002360228 0.00043981662 0.00020294568 0.0033101349 0.003155048 0.0030853802 0.00011268029 0.0039080675 0.0006603307 0.011164436 0.0023172155 0.006574834 0.010567714 0.009932828 0.0014612089 0.0019918967 0.0036057692 0.0078015956 0.00054825627 0.00026352648 0.020630792 0.0029424094 0.0059205615 0.011750858 0.0025371239 0.00038044743 0.00960872 0.0042763986 0.00816811 0.0033065001 0.0015260304 0.0009268862 0.0015593498 0.0004913103 0.00025504516 7.5120195e-05 0.001331566 6.05808e-05 0.00012843129 6.4821455e-05 0.00043557596 6.4821455e-05 8.723635e-05 7.5726e-05 0.00029745174 6.724469e-05 0.0047028875 0.00016538559 0.0014333418 8.420731e-05 0.00014963458 6.7850495e-05 0.00015690428 7.2091156e-05 9.329443e-05 0.00012358483 0.0009383966 7.7543424e-05 0.0002647381 8.663054e-05 0.00026655552 6.724469e-05 0.00011994998 7.5726e-05 0.0002265722 7.027373e-05 0.0001132861 7.4514384e-05 0.00016962625 7.2091156e-05 0.000101775746 8.057246e-05 0.00019749341 7.8149234e-05 9.632347e-05 7.8149234e-05 0.00024535225 6.360984e-05 8.905378e-05 6.7850495e-05 0.00017204948 6.7850495e-05 9.995832e-05 7.5726e-05 0.00016538559 7.8149234e-05 8.541893e-05 6.966792e-05 0.00016053912 6.966792e-05 7.5120195e-05 0.000151452 0.00037802418 5.755176e-05 6.7850495e-05 0.00016296236 0.00062640547 5.3311105e-05 0.0001665972 6.05808e-05 0.00029199946 6.5427266e-05 6.1792416e-05 5.694595e-05 0.00021687927 6.603307e-05 6.663888e-05 0.00013024872 0.00012358483 7.5120195e-05 0.0003495512 0.00031986664 0.00039256358 0.0001060164 9.874671e-05 0.00017204948 0.00036166736 9.571767e-05 0.000107228014 9.026539e-05 0.00015751008 8.29957e-05 9.571767e-05 8.905378e-05 0.00019749341 8.238989e-05 9.8140896e-05 8.238989e-05 0.0004682896 9.692928e-05 8.784216e-05 0.00025686258 0.0004943393 0.000101775746 0.000101775746 9.329443e-05 0.0002120328 0.00010056413 9.208282e-05 0.0001884063 0.00014721135 0.00013327776 0.000104198974 9.874671e-05 0.00025201612 9.390024e-05 9.632347e-05 9.4506046e-05 0.0003768126 8.178408e-05 9.8140896e-05 0.008466773 0.00019446437 8.602474e-05 9.026539e-05 0.000105410596 0.00029078784 0.0005288704 8.784216e-05 0.00011025705 0.00037317773 7.5120195e-05 9.208282e-05 0.008510997 0.00091779913 0.008085114 0.0044841906 0.042438667 0.001241465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011878177 2.7278281e-06 3.3340123e-06 3.0309202e-06 5.4556563e-06 5.1525644e-06 7.5773005e-06 8.183485e-06 1.3336049e-05 3.3340123e-06 1.5154601e-06 1.5154601e-06 2.7278281e-06 3.0309204e-07 3.0309204e-07 0.000615883 0.0005661759 9.395852e-06 6.9711164e-06 1.2123681e-06 6.0618404e-06 3.3340123e-06 1.1214405e-05 4.2432885e-06 5.4556563e-06 3.0309204e-07 6.061841e-07 1.8185522e-06 1.5154601e-06 1.2123681e-06 6.061841e-07 6.061841e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02552247 5.1525644e-06 0.022800097 5.9709128e-05 0.0010174799 0.00043796797 4.606999e-05 0.0003149126 3.6371043e-06 6.061841e-07 3.940196e-06 2.7278281e-06 3.3340123e-06 9.092761e-07 1.2123681e-06 5.9102946e-05 0.0378665 2.5762822e-05 0.03238326 0.00017427791 0.0029127144 0.0012799576 0.00010941622 0.00031673117 3.0309202e-06 3.0612293e-05 7.880392e-06 5.7587486e-06 6.6680245e-06 5.1525644e-06 4.2432885e-06 0.00059739436 0.01207852 6.9711164e-06 0.008438688 6.7286426e-05 0.0017012556 0.00086654007 0.0002812694 0.0001288141 6.0618404e-05 2.4247363e-06 2.4247363e-06 4.5463803e-06 1.5760785e-05 4.5463803e-06 3.6371043e-06 0.00054526253 0.04463424 4.9404e-05 0.010080234 0.001001416 0.00643919 0.0036140692 0.01413409 0.0062015657 5.9102946e-05 3.4855584e-05 6.364933e-05 3.42494e-05 2.091335e-05 1.636697e-05 1.5760785e-05 0.00050343585 0.23437712 0.00018822015 0.045594435 0.007216318 0.053345107 0.033319816 0.05660668 0.024087027 0.00017215627 0.00026338696 0.00020761804 0.00010396056 6.637715e-05 5.576893e-05 0.00010668839 0.00052768324 0.009213998 0.0010326345 0.0008856349 0.0013257245 0.00063346233 0.00037734956 0.002196811 0.00019700981 0.000490706 0.0003800774 0.00015912332 5.789058e-05 7.577301e-05 0.00018124904 0.00034794965 0.0054117083 0.047544833 0.0048376517 0.003174889 0.010252391 0.0036201312 0.0056008375 0.012640453 0.0006640746 0.0034894985 0.00066892407 0.00018973561 0.0005249554 0.00033915997 0.00036552898 0.004080528 0.02553217 0.04216283 0.004897058 0.0037895595 0.011456575 0.0044481787 0.0045930566 0.010796138 0.0011523559 0.0028660381 0.0005970913 0.00039826293 0.0008128928 0.00082319794 0.00072378374 0.00463458 0.026891233 0.0072639035 0.0013533059 0.0008319876 0.0011932733 0.0028048137 0.001423017 0.0009841399 0.001241465 0.0006080026 0.0005064668 0.0004373618 0.00068620034 0.00068226014 0.0004988895 0.00086654007 0.0040684044 0.00097110687 0.00033946306 0.00036249807 0.00021883244 0.0007186312 0.00025702204 0.00021580153 0.00024186744 0.00019397889 0.0001860985 0.00016245732 0.00017245936 0.00044554527 0.00026338696 0.00033249194 0.0011256838 0.00028066323 0.00036067952 0.00013002648 0.00015003055 0.0001857954 0.00022974376 0.00015427385 0.00015548621 0.000111234775 0.0001327543 9.608017e-05 9.6989446e-05 0.0002891498 0.00047009572 0.00024823236 0.00063315924 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78.0 15.141026 1181.0 0.060118545 0.0033869601 0.0 0.00084674003 0.0 0.0 0.00254022 0.00254022 0.00084674003 0.00084674003 0.0 0.0 0.0016934801 0.0016934801 0.016088061 0.0 0.00508044 0.0059271804 0.00508044 0.0042337 0.00084674003 0.00084674003 0.0067739203 0.0 0.0016934801 0.00084674003 0.0016934801 0.0 0.0 0.0 0.0 0.0 0.0 0.028789163 0.0084674 0.0135478405 0.00931414 0.03725656 0.0059271804 0.0084674 0.00254022 0.012701101 0.0016934801 0.00508044 0.01778154 0.011007621 0.0135478405 0.01016088 0.0059271804 0.0042337 0.014394581 0.027095681 0.0135478405 0.0076206606 0.015241321 0.0 0.0 0.0 0.0016934801 0.0 0.0033869601 0.0 0.0 0.0067739203 0.00084674003 0.059271805 0.01016088 0.028789163 0.021168502 0.09144793 0.0076206606 0.012701101 0.0067739203 0.030482642 0.0076206606 0.00254022 0.03895004 0.022015242 0.027095681 0.025402201 0.0067739203 0.00084674003 0.050804403 0.024555461 0.03640982 0.023708722 0.00254022 0.032176122 0.0076206606 0.0067739203 0.00254022 0.0 0.0 0.00084674003 0.0 0.0016934801 5.3993344 1.0 0.0 0.0 3.0 1650688.0 1654784.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1544801900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 6.0 0.0 4.0 0.0 4.0 0.0 1642496.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1642496.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.445866 0.0 3.8042495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1640520.0 0.0 2258.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1644292.0 2258.0 1650688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 140.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13718775 0.016571792 0.010428396 0.012219025 0.005611681 0.005778494 0.004050419 0.0034691815 0.0062971767 0.0030469368 0.003385775 0.0030964594 0.0029687434 0.0039409483 0.0024630928 0.0105639305 0.006391009 0.002622086 0.0019548354 0.00237708 0.0023145252 0.0039044581 0.0023119187 0.0021477125 0.0034274783 0.00249437 0.0019522291 0.0019600485 0.0026481505 0.0021607447 0.0020069645 0.00217899 0.007334543 0.0020486675 0.0019209516 0.0020382418 0.012122586 0.0019183452 0.0015899328 0.0016759456 0.0033075816 0.0018166938 0.0018166938 0.002645544 0.0018271196 0.0034222654 0.0022337253 0.0019809 0.0058254097 0.0024109639 0.0022467575 0.00495225 0.0023901123 0.001881855 0.0017385003 0.0018114808 0.0034300846 0.0024969764 0.0016472747 0.0054996037 0.0023171317 0.0021659578 0.0022128737 0.0033232204 0.006810647 0.0099383835 0.0024917636 0.003315401 0.0078063095 0.005489178 0.0020695191 0.0023640478 0.037173152 0.0067663374 0.0020486675 0.0023327703 0.007848013 0.0036620584 0.0021060095 0.002051274 0.0038236582 0.0017150423 0.0019939323 0.0027185245 0.0031277367 0.0029322533 0.0025725635 0.0029504984 0.0027393762 0.0016889778 0.0017984486 0.0022363318 0.0035708328 0.0019470161 0.0022597897 0.0030312983 0.0028358146 0.003263272 0.0019652613 0.0031485884 0.0031955044 0.004318883 0.0056455648 0.001957442 0.0027315568 0.0033701363 0.0017411069 0.002004358 0.0032372077 0.00249437 0.0029635306 0.0035578005 0.0038601484 0.0016811586 0.0041416446 0.004008716 0.011053943 0.0058019515 0.0026611828 0.0023588347 0.0030860335 0.0023458025 0.0018479711 0.001678552 0.002645544 0.001905313 0.0018792485 0.0019027066 0.0038549355 0.0028097501 0.0026403312 0.0102563705 0.004008716 0.008288503 0.0020017514 0.001707223 0.002715918 0.01157002 0.0024031445 0.023067059 0.0020382418 0.009841945 0.001678552 0.0016446683 0.0037167938 0.0015143459 0.001678552 0.0017280745 0.0019157388 0.002051274 0.0016133909 0.0015586555 0.0020173902 0.0014674298 0.0015821136 0.0014726428 0.0017775971 0.0015482297 0.0015977522 0.0015873264 0.002429209 0.0018662163 0.0018375453 0.0018036616 0.0019027066 0.0018427583 0.0016603069 0.001707223 0.002173777 0.0016498811 0.0015977522 0.0015716878 0.0016967972 0.0016915844 0.0015742942 0.0017515325 0.0022650028 0.0017489261 0.0017358939 0.0015482297 0.0018219067 0.002103403 0.0020538804 0.0030104467 0.003018266 0.0023927186 0.002697673 0.0016994036 0.0019001 0.0019887192 0.0018114808 0.0018323325 0.007733329 0.004371012 0.002645544 0.0048323534 0.0038210517 0.0020955836 0.0026768213 0.0040191417 0.0040061097 0.003969619 0.0022702157 0.0025256474 0.022076609 0.0018323325 0.002447454 0.0024448475 0.0027758663 0.0021242546 0.0025829892 0.0019079194 0.0015977522 0.0018688227 0.0020252096 0.0019313775 0.0031538012 0.002423996 0.0017775971 0.0022806413 0.0016212102 0.0015273781 0.0015742942 0.0018271196 0.0030677884 0.0019704741 0.0017593519 0.0016498811 0.0017046166 0.0015117395 0.0016055716 0.0017358939 0.008523082 0.003315401 0.0018479711 0.0043788315 0.003221569 0.0016264231 0.0015482297 0.0016733392 0.0037897744 0.002074732 0.002249364 0.0016863714 0.0016811586 0.0016759456 0.0031668334 0.0021398931 0.0037532842 0.002429209 0.0018896743 0.0018974936 0.0020408481 0.0021607447 0.00340402 0.017661287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022424285 1.7017845e-05 1.9635976e-05 9.163455e-06 3.2726624e-05 3.403569e-05 9.817987e-05 1.832691e-05 1.309065e-05 1.4399715e-05 3.927195e-06 5.1053536e-05 1.570878e-05 1.4399715e-05 7.85439e-06 8.901642e-05 0.011911183 0.00062966027 0.0005249351 0.00012959744 0.0007173676 0.0001309065 0.00097001716 0.00057075237 6.676232e-05 8.1162034e-05 3.7962884e-05 6.938045e-05 4.974447e-05 4.712634e-05 3.5344754e-05 0.00011388866 0.023517353 0.0008273291 0.0011624497 0.00024479517 0.0019151621 0.00042020986 0.0012606296 0.00095692655 0.00022646824 0.00021075946 0.00040188295 0.00019635975 0.00022385012 0.0001871963 0.00015054247 0.0002696674 0.01264164 0.0003560657 0.0005118444 0.000261813 0.0005746795 0.0003560657 0.0018222185 0.0010092892 0.00015316061 0.00016232407 0.00027097645 0.00015054247 9.163455e-05 8.1162034e-05 7.592577e-05 0.0002474133 0.004931248 7.199858e-05 0.00012959744 0.00013614276 0.00050399004 0.0002434861 0.0008116203 0.0005131535 0.00010210707 6.152606e-05 7.7234836e-05 0.00015316061 0.0001348337 3.403569e-05 1.7017845e-05 0.00012174305 0.014522768 0.0013260829 0.00083256536 0.0010119072 0.0012135033 0.0012841928 0.0041811536 0.0026246754 0.0004045011 0.00032988438 0.00031548468 0.0002657402 0.00031941186 0.00019112349 0.00027359457 0.00039402858 0.018324291 0.0014164083 0.0011912491 0.0011716132 0.0009451449 0.001127105 0.002293482 0.002573622 0.0010367795 0.0006990407 0.00048042685 0.000684641 0.00067547755 0.0005602798 0.00061133335 0.0010616517 0.011425519 0.00053409854 0.00082863815 0.00058253395 0.0012855019 0.0008417288 0.0015813506 0.0015918231 0.000946454 0.000684641 0.000422828 0.0005877702 0.0011349594 0.00050399004 0.00051969883 0.00065715064 0.018021898 0.0015316061 0.0023026455 0.0019622885 0.007673739 0.00133001 0.0011231778 0.0017384384 0.0080520585 0.0014452077 0.0018235275 0.0015276789 0.004971829 0.0011336503 0.001731893 0.0026115847 0.07598599 0.012598442 0.018100442 0.013470279 0.05950486 0.011006619 0.0076802843 0.015371041 0.05097761 0.0037308354 0.0032752806 0.007926389 0.0403192 0.008103113 0.014541094 0.022019783 0.015814815 0.0036117104 0.0046209996 0.0056721787 0.010261761 0.0036090922 0.0054234564 0.0053043314 0.008768117 0.0013784454 0.0017057117 0.0020015603 0.0060648983 0.0023694076 0.0036680002 0.0055164 0.021154491 0.019900406 0.019440925 0.021602191 0.019939678 0.020676682 0.020976458 0.020571956 0.020003822 0.020070584 0.019956697 0.02006404 0.020011676 0.019748555 0.019578377 0.020700244 1813.0 10.086045 18286.0 0.027999563 0.0030077654 0.0037733784 0.0033358855 0.020616865 0.0024062125 0.003390572 0.0022968391 0.0038827518 0.002624959 0.0020780924 0.0042655584 0.0030077654 0.006671771 0.013890408 0.00831237 0.020780925 0.013452915 0.0077655036 0.008367057 0.0050311713 0.0039374386 0.004757738 0.004320245 0.008421743 0.006781144 0.0038280652 0.00814831 0.0059608445 0.0027343323 0.005085858 0.0038280652 0.008859237 0.04353057 0.0031718255 0.013562288 0.011757629 0.0093514165 0.005523351 0.0065623973 0.020179372 0.009515476 0.0025702724 0.0028983923 0.009023297 0.007874877 0.0065623973 0.004156185 0.011210762 0.002460899 0.006835831 0.012140435 0.012085749 0.011156076 0.01646068 0.01629662 0.005523351 0.0028983923 0.0042655584 0.0033358855 0.008257683 0.0071639507 0.009843596 0.01613256 0.0028437055 0.025319917 0.007054577 0.021874659 0.021273104 0.04145248 0.018046593 0.00831237 0.009077983 0.030843267 0.0022968391 0.0042108716 0.018155966 0.015312261 0.022148091 0.0384994 0.013343542 0.0022968391 0.034944765 0.027233949 0.045171168 0.013671662 0.005085858 0.005195231 0.006945204 0.005578038 0.003226512 0.002460899 0.0045389915 0.0028983923 0.0021327792 0.002624959 6.083267 2.0 20.0 0.0 7.0 383664.0 393216.0 1.0 0.0 121.0 1.0 1.0 1.0 0.0 0.0 1545331800.0 0.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 177664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177664.0 0.0 119296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.35342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0469656 0.0 0.0 0.0 0.0 5.4611645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8430407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.410091 0.0 7.983577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55418.0 0.0 0.0 0.0 0.0 8736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177275.0 0.0 119104.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 236284.0 119104.0 266240.0 8736.0 253952.0 15536.0 368128.0 1524.0 389120.0 84.0 220848.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 193312.0 0.0 0.0 1000.0 193576.0 0.0 0.0 0.0 0.0


Input: 0.18417715 0.008231027 0.0056970376 0.005007102 0.008700284 0.005154221 0.0030641234 0.0026532062 0.011619826 0.001996246 0.010508827 0.0021484375 0.0068892045 0.0021103895 0.0015625 0.008203125 0.0069171065 0.0013976258 0.0015625 0.0012352881 0.0043526785 0.003086952 0.0013367492 0.0009131493 0.0031072444 0.0013291396 0.0009385146 0.0013671875 0.011802455 0.001070414 0.00092075893 0.0014940138 0.0049081775 0.0010526583 0.0012657265 0.0011465098 0.0051922686 0.001171875 0.00081676134 0.00089285715 0.0020900974 0.0009080763 0.0013494318 0.0029626624 0.0014432833 0.0013037743 0.0011744115 0.0009004667 0.0037337663 0.0019911728 0.0015548904 0.0069018872 0.0023361405 0.0023716518 0.0018922484 0.0017248377 0.002787642 0.0033887988 0.0019150771 0.0052201706 0.002473113 0.002397017 0.0019937095 0.0018389813 0.0061840503 0.0062119523 0.001760349 0.0018592735 0.006376826 0.015805094 0.003997565 0.00180347 0.0024198457 0.0017324472 0.0014255276 0.00079139613 0.0022676543 0.004705256 0.0018542005 0.0011059253 0.016966822 0.002777496 0.0014534293 0.0038073254 0.0024147728 0.0044262377 0.005425629 0.0041015623 0.0017146915 0.0044921874 0.0008370536 0.0017375203 0.0016867898 0.004611404 0.0034750407 0.0025390624 0.0016766436 0.002503551 0.0011794845 0.0019886363 0.0025213067 0.013900163 0.0037236202 0.0009917817 0.003718547 0.0023006292 0.007005885 0.00089539366 0.0023412134 0.0012124594 0.0023767247 0.0026100853 0.0030387582 0.0008674919 0.0035942574 0.0027369114 0.011340807 0.013316762 0.0021484375 0.0013139205 0.0019100041 0.0013342127 0.00079393265 0.00061891234 0.0016284497 0.0034927963 0.0020850243 0.001605621 0.0035993303 0.002546672 0.0009664164 0.013403003 0.0027546673 0.010062398 0.0008471997 0.0007736404 0.0023792614 0.011028815 0.0019404424 0.040051743 0.0016233766 0.008540483 0.0009080763 0.00097148947 0.0019810267 0.00078632304 0.0009080763 0.0008877841 0.0012885552 0.0010450487 0.0006341315 0.00059101055 0.00096134335 0.0008497362 0.00056310877 0.000733056 0.0009968547 0.0008471997 0.0006011567 0.0008877841 0.0014458199 0.0015345982 0.0012479707 0.0021205358 0.0009816355 0.0016462053 0.0007076907 0.0004692573 0.0014356737 0.00078125 0.0007837865 0.00086495536 0.0011135349 0.0006823255 0.00062144885 0.0005377435 0.0013773337 0.0008700284 0.00062398537 0.0006163758 0.0012048498 0.0010932427 0.0020469765 0.0014889408 0.0024046267 0.0009486607 0.0008674919 0.00062398537 0.0011947037 0.0009435877 0.0013392858 0.0010881696 0.007774452 0.0037692776 0.0037363027 0.005362216 0.0034877232 0.000882711 0.003231534 0.004187804 0.0030387582 0.0026633523 0.0013316761 0.001075487 0.015586952 0.0009055398 0.0017045455 0.0011338271 0.0022093141 0.0012707995 0.0018440544 0.0013570414 0.0016030844 0.000877638 0.0013874797 0.0010120738 0.002328531 0.0010120738 0.0008421266 0.0016817168 0.0015117695 0.00086241885 0.0007127638 0.00085988233 0.0031605114 0.0012987013 0.0015371348 0.00089032063 0.0022980925 0.0016436689 0.0009283685 0.00071783684 0.025344968 0.0031706574 0.0009841721 0.0049259337 0.0050578327 0.00069500814 0.00089285715 0.0010247565 0.0043425323 0.0016436689 0.0014864042 0.001273336 0.00210278 0.0008421266 0.003809862 0.0020850243 0.004624087 0.0019074675 0.0012403612 0.003414164 0.0052506085 0.002670962 0.0035765017 0.062053572 0.049479168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022595723 7.6293945e-05 6.866455e-05 5.086263e-06 4.83195e-05 2.670288e-05 3.4332275e-05 2.415975e-05 1.2715658e-06 1.780192e-05 2.5431316e-06 2.5431316e-06 0.0 3.8146973e-06 2.5431316e-06 3.0517578e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041859946 0.00015004475 0.000104268394 1.9073486e-05 0.0002301534 6.1035156e-05 7.247925e-05 6.993612e-05 4.196167e-05 3.8146973e-05 2.9246012e-05 1.780192e-05 3.8146973e-05 2.7974447e-05 1.780192e-05 0.000104268394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0148289995 0.00029118857 0.00046284994 0.0008201599 0.0017369589 0.0002962748 0.0001373291 0.00016276042 0.000260671 0.0002861023 0.00019073486 0.00013224284 0.0003115336 0.00028355917 0.00015767415 0.0030784607 0.014372508 0.00032552084 0.0005976359 0.0007095337 0.0020484924 0.00054041547 0.001528422 0.0008430481 0.00032806396 0.00015513103 0.00016403198 0.00014750163 0.00030644736 0.00020345052 0.00017674764 0.0009905497 0.0027058918 4.5776367e-05 0.00031789145 0.00015640259 0.0012512207 0.00078964233 0.0049819946 0.002424876 5.976359e-05 4.5776367e-05 3.9418537e-05 4.4504803e-05 7.3750816e-05 3.0517578e-05 3.6875408e-05 1.6530355e-05 0.013996124 0.00072224933 0.0014127096 0.0010414124 0.0032602947 0.0011965433 0.00613149 0.0030581157 0.00045776367 0.0002187093 0.0002632141 0.0002784729 0.00053660077 0.0002632141 0.0003712972 0.0006459554 0.007873535 0.00091552734 0.0013936361 0.012326558 0.0027046204 0.0014737447 0.0030199687 0.0018704733 0.00094731647 0.0009409587 0.0009244283 0.0008761088 0.00082524616 0.0007692973 0.00093078613 0.0012702942 0.006969452 0.00076293945 0.00074768066 0.0015703837 0.001159668 0.0008875529 0.0014546713 0.001314799 0.0033098857 0.00045522055 0.0004971822 0.00083796185 0.0011672974 0.0005455017 0.0012130737 0.0057525635 0.034233093 0.0065091453 0.0043284097 0.005724589 0.011459351 0.013202667 0.004878998 0.010846456 0.024904886 0.0018348694 0.002123515 0.0034599304 0.011763255 0.0029754639 0.010888417 0.02534612 0.112898506 0.03220113 0.01836904 0.02157084 0.035589855 0.04309845 0.027964273 0.03053538 0.07083384 0.0099652605 0.012049357 0.0124384565 0.04385249 0.01565679 0.039914448 0.06420771 0.0022099812 0.0009295146 0.00082270306 0.00068791705 0.0009435018 0.0010490417 0.00083033246 0.00078582764 0.0015106201 0.000638326 0.000734965 0.00054041547 0.0011393229 0.00066502887 0.0009943644 0.0011431376 1592.0 11.67902 18593.0 0.02716076 0.0017210778 0.0016135104 0.001183241 0.008605389 0.0013983757 0.0014521594 0.0039262087 0.004571613 0.0017748615 0.0018286452 0.0019899963 0.00306567 0.006238907 0.007583499 0.0022051309 0.016457807 0.010111332 0.0074221483 0.007583499 0.011563492 0.008444038 0.009412144 0.0098424135 0.0113483565 0.01124079 0.0098424135 0.009465928 0.0118324105 0.008712957 0.011455924 0.013499704 0.01914699 0.014521594 0.0029581026 0.011671059 0.008712957 0.009412144 0.006615393 0.00715323 0.00613134 0.0068843113 0.0023126984 0.0017210778 0.008712957 0.007207013 0.0026354005 0.0045178295 0.020868069 0.0048405314 0.006561609 0.019899962 0.008928091 0.0047867475 0.0181251 0.01710321 0.00408756 0.0032270208 0.0014521594 0.0026891842 0.003872425 0.0048405314 0.004625397 0.007906201 0.006238907 0.031463455 0.008013769 0.02323455 0.017856183 0.060883127 0.0063464744 0.008981875 0.011778627 0.031517237 0.0070456625 0.0038186414 0.024901845 0.010595385 0.031086968 0.034421556 0.015704835 0.0013983757 0.035174526 0.027106976 0.047867477 0.017049428 0.0060237725 0.004732964 0.008874307 0.0075297155 0.00204378 0.0011294574 0.00306567 0.0020975636 0.0013445921 0.0019899963 6.030032 1.0 0.0 0.0 3.0 394240.0 479232.0 1.0 0.0 257.0 1.0 1.0 0.0 0.0 0.0 1261050600.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 313344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -313344.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1012092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9698462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0867577 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7979255 0.0 4.1965585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31110.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -313291.0 0.0 1336.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 -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 -1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 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 -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 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 351220.0 1336.0 442368.0 0.0 0.0 0.0 0.0 10560.0 446464.0 28.0 320720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 337784.0 0.0 0.0 1064.0 319488.0 0.0 0.0 0.0 0.0


Input: 0.056602348 0.008292881 0.0061614895 0.005648549 0.005748862 0.0049711782 0.0041986653 0.0054241377 0.005051842 0.0056257974 0.0037467398 0.0044572037 0.0049598026 0.0031748526 0.0043258662 0.0046371464 0.00503633 0.0037591497 0.004930846 0.0041604014 0.0043630954 0.0031862285 0.0041097277 0.003849121 0.0050818324 0.0033423856 0.0031614087 0.0029297583 0.0041469573 0.0034375277 0.003781901 0.0037943108 0.0061697625 0.0038253355 0.0034954404 0.0030259346 0.004887412 0.004168675 0.0038387796 0.00372192 0.0047240155 0.0038987605 0.0033413514 0.0030962569 0.004366198 0.0037177836 0.0037177836 0.0035874802 0.005516177 0.0039473656 0.0031086667 0.0028925287 0.0036753833 0.0030776423 0.0026908687 0.0028625382 0.0041883234 0.0033154977 0.0035306017 0.0033506588 0.0039908 0.0032296628 0.0035006113 0.003452006 0.0065854923 0.003955639 0.0036226413 0.0032255263 0.0041552307 0.0032203554 0.0035450798 0.0030838472 0.004998066 0.0037777645 0.003707442 0.0035823092 0.0041293767 0.0031314183 0.0035616262 0.003464416 0.0051531894 0.0036257438 0.0036578025 0.0033330782 0.003920478 0.0033806493 0.0033661711 0.0035357724 0.004640249 0.0036505635 0.0037984475 0.003513021 0.004108694 0.0033930591 0.0036929639 0.003781901 0.0059070876 0.003627812 0.0033465223 0.0029514753 0.0040125176 0.00306213 0.00326379 0.0030373102 0.004970144 0.0031696819 0.0032120822 0.0030455834 0.003586446 0.0028418552 0.0030983253 0.00318416 0.0045109796 0.0032834387 0.0032224238 0.0031386572 0.0038915214 0.0033444539 0.003290678 0.003626778 0.0046185316 0.003290678 0.003472689 0.0031665794 0.004031132 0.0031913992 0.0034685524 0.0033392832 0.008634152 0.004594746 0.0040135514 0.0035212943 0.004371369 0.0034426986 0.0030166272 0.0033878884 0.0045326967 0.0038243013 0.0029690561 0.0031872625 0.0037363982 0.0028046255 0.0028563333 0.0029825 0.005232819 0.0031996723 0.0034975088 0.003030071 0.0036578025 0.0031820918 0.003310327 0.0032689606 0.004547175 0.0028387527 0.0030455834 0.00270121 0.0035192259 0.0032317312 0.0029949099 0.003150033 0.0050011687 0.003411674 0.003277234 0.0027953181 0.0037777645 0.0030217979 0.0030579932 0.0031851942 0.0041355817 0.0029938756 0.003124179 0.0030104222 0.0036422904 0.0028418552 0.0029173484 0.0030393784 0.004668171 0.0031262476 0.0038367112 0.0028532308 0.0035647287 0.0031469306 0.0029928416 0.003124179 0.0042534755 0.0031438281 0.0033403174 0.0031810575 0.0036526318 0.0031913992 0.0033279075 0.003358932 0.006715796 0.0040662936 0.0037332957 0.0033330782 0.004108694 0.0032544825 0.003298951 0.0032286288 0.0043289685 0.0033361807 0.003115906 0.0030745398 0.0036371194 0.0029876707 0.0030786763 0.0027984206 0.0042483043 0.0032813705 0.0030921204 0.003002149 0.0037095102 0.0030166272 0.0029380315 0.0029432022 0.003977356 0.0031190084 0.0027363715 0.0026443317 0.00353267 0.0029504413 0.003573002 0.0028852895 0.0049473927 0.0032451751 0.0033920251 0.002976295 0.003828438 0.0030724714 0.003197604 0.0029059728 0.004445828 0.005460333 0.003473723 0.003142794 0.0037891401 0.0030755738 0.0032451751 0.003189331 0.004616463 0.003317566 0.0034282205 0.0030486858 0.0037426031 0.0030848812 0.0033123952 0.0032431069 0.0043486175 0.0030269686 0.003189331 0.002867709 0.004016654 0.0030983253 0.004223485 0.004508911 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045767953 0.00029255453 0.0002708071 0.0002702893 0.00029928586 0.00024025716 0.0003313892 0.0003070528 0.00033087138 0.00035054763 0.0003277646 0.00035106542 0.0005203846 0.0001532675 0.00018381744 0.0007378587 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09912782 0.06201845 0.062458575 0.05532335 0.060627133 0.05954287 0.054991964 0.054467436 0.06047076 0.053203497 0.052139428 0.0529736 0.05642574 0.050563775 0.056678426 0.053844012 4027.0 5.7032533 22967.0 0.017198589 0.0104497755 0.009361258 0.008708146 0.013454086 0.012539731 0.0117995385 0.011581834 0.012539731 0.009796665 0.008446902 0.008621065 0.013889493 0.010623938 0.011755997 0.009927287 0.016763182 0.011843079 0.008751688 0.007489006 0.009796665 0.0085339835 0.007837332 0.00831628 0.010275613 0.008446902 0.009666042 0.008838769 0.011494753 0.008969391 0.009709584 0.009187095 0.017982323 0.010885183 0.010319154 0.009056472 0.010798101 0.008882309 0.01066748 0.008403362 0.014194279 0.011625376 0.009753124 0.008969391 0.0114076715 0.009404798 0.011668916 0.009578961 0.014760308 0.009622502 0.009927287 0.009143554 0.012060783 0.009317717 0.009666042 0.009753124 0.01367179 0.009317717 0.010536857 0.009535421 0.011146427 0.009796665 0.010362694 0.01066748 0.017982323 0.010972264 0.009709584 0.008185658 0.01306222 0.00831628 0.009361258 0.008403362 0.015413419 0.009274176 0.008882309 0.008708146 0.01132059 0.008011495 0.009927287 0.007837332 0.013192842 0.007967954 0.008795228 0.008751688 0.011451213 0.009448339 0.008229199 0.007967954 0.010885183 0.0089258505 0.01188662 0.008577525 0.01127705 0.009056472 0.009927287 0.008795228 6.554847 0.0 0.0 0.0 14.0 966974.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.052106857 0.007939339 0.0058937073 0.0067195892 0.00404644 0.0042943954 0.003809929 0.0038375854 0.004500389 0.003317833 0.0037088394 0.00356102 0.0038366318 0.0038843155 0.0033979416 0.0066509247 0.004860878 0.0034008026 0.0033082962 0.003501892 0.0032520294 0.0038757324 0.0034446716 0.0031528473 0.004020691 0.0035829544 0.0030651093 0.0033245087 0.0033168793 0.0033063889 0.0032949448 0.0035152435 0.004714966 0.0035762787 0.003088951 0.0034008026 0.006836891 0.003255844 0.0031881332 0.0034780502 0.0033302307 0.0031194687 0.0028848648 0.0035676956 0.0036649704 0.003534317 0.0031204224 0.003162384 0.0042877197 0.0036001205 0.0032596588 0.0043201447 0.0032701492 0.0030298233 0.0031747818 0.0031261444 0.0036916733 0.0032701492 0.003358841 0.0045433044 0.003405571 0.00335598 0.003314972 0.0039892197 0.004755974 0.006020546 0.003373146 0.0039224625 0.005452156 0.0042238235 0.0033025742 0.0032129288 0.015953064 0.004958153 0.0028247833 0.003394127 0.0057029724 0.0036649704 0.0033664703 0.0032644272 0.0034885406 0.0028858185 0.0030126572 0.0034017563 0.0032644272 0.0032024384 0.0033683777 0.0034866333 0.0038862228 0.0030097961 0.0029039383 0.0032081604 0.003566742 0.003118515 0.0033626556 0.0035219193 0.0035305023 0.003768921 0.004137039 0.0037212372 0.0036182404 0.003780365 0.004594803 0.003153801 0.0034532547 0.0034217834 0.0028743744 0.0031557083 0.0038061142 0.0032196045 0.0033035278 0.003531456 0.003686905 0.002790451 0.003698349 0.0037670135 0.0064640045 0.004494667 0.0035152435 0.003314972 0.0036039352 0.0033922195 0.0034103394 0.0031471252 0.0034732819 0.003227234 0.0032377243 0.0034484863 0.0035495758 0.0034723282 0.0029144287 0.0065107346 0.0038337708 0.0058994293 0.0034294128 0.0032129288 0.003938675 0.0073432922 0.003080368 0.011071205 0.003396988 0.006087303 0.0030784607 0.0032110214 0.003935814 0.0030298233 0.0030469894 0.0033779144 0.0029277802 0.0030088425 0.0033464432 0.003063202 0.0037193298 0.003074646 0.0029087067 0.0029668808 0.0030145645 0.0032930374 0.0029335022 0.0031394958 0.0029067993 0.0030899048 0.0031385422 0.0030117035 0.0032491684 0.00278759 0.0031328201 0.0028877258 0.0030126572 0.0029745102 0.0029935837 0.0029363632 0.0030593872 0.002954483 0.0029439926 0.0030708313 0.0034332275 0.003853798 0.002948761 0.0031280518 0.00329113 0.0030126572 0.003209114 0.0034093857 0.0031909943 0.0031900406 0.0033845901 0.00303936 0.003271103 0.0032100677 0.0031633377 0.0033092499 0.0053777695 0.004132271 0.0036268234 0.0043525696 0.0047245026 0.0031986237 0.0035009384 0.004163742 0.0041160583 0.003876686 0.003200531 0.003405571 0.010902405 0.0031175613 0.0032339096 0.0033988953 0.0034999847 0.0035171509 0.0036230087 0.0032596588 0.002951622 0.0029745102 0.0029678345 0.0030622482 0.004029274 0.003437996 0.003191948 0.00319767 0.002732277 0.0029659271 0.003162384 0.0032320023 0.0034503937 0.003417015 0.0030002594 0.0030355453 0.0032625198 0.0030536652 0.0030994415 0.0030374527 0.0057582855 0.0038671494 0.0031690598 0.0039634705 0.003818512 0.003036499 0.0029144287 0.0032186508 0.003894806 0.0033044815 0.0035057068 0.0031671524 0.003252983 0.0031471252 0.0038862228 0.0032749176 0.0040283203 0.0034484863 0.0032196045 0.00329113 0.0034303665 0.0033407211 0.0038795471 0.009203911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008176205 6.2049426e-06 7.159549e-06 3.341123e-06 1.1932582e-05 1.2409885e-05 3.5797744e-05 6.682246e-06 4.7730327e-06 5.250336e-06 1.4319098e-06 1.8614828e-05 5.7276393e-06 5.250336e-06 2.8638196e-06 3.2456624e-05 0.0051424657 0.0002491523 0.00020858154 5.202606e-05 0.00028256353 6.3958636e-05 0.00038231994 0.00022576445 3.8184262e-05 3.961617e-05 1.6705615e-05 3.1024712e-05 2.338786e-05 2.1955952e-05 1.8137525e-05 4.677572e-05 0.009269229 0.00031788397 0.0004520062 0.000107393236 0.00072215986 0.00017230648 0.0005560583 0.00039759363 9.1164926e-05 8.257347e-05 0.00014939593 7.684583e-05 8.448268e-05 7.064088e-05 5.87083e-05 9.927908e-05 0.0046093175 0.0001298265 0.00018662558 9.546066e-05 0.00020953614 0.0001298265 0.00066440617 0.00036800082 5.5844484e-05 5.9185608e-05 9.880178e-05 5.4889875e-05 3.341123e-05 2.9592804e-05 2.768359e-05 9.021032e-05 0.0017999107 2.768359e-05 4.4389206e-05 3.9138868e-05 0.00018614827 8.7346496e-05 0.00030070107 0.00018805749 3.8661565e-05 2.4342467e-05 2.5297073e-05 5.6321787e-05 4.8207632e-05 1.3364492e-05 6.682246e-06 4.6298417e-05 0.004919565 0.00048303092 0.00019235323 0.00026919905 0.00035940937 0.00043291406 0.0013512456 0.0008586686 0.00014748672 0.00012028043 0.00011503009 9.6415264e-05 0.000116462 6.968628e-05 9.9756384e-05 0.00014366828 0.0061476664 0.00050594145 0.00039950284 0.00037850149 0.00031358824 0.00038184263 0.00071690953 0.0008791926 0.00036847813 0.00023865164 0.00016276042 0.00024056085 0.00023626511 0.00018471637 0.00020810423 0.00036752352 0.0041616075 0.00019521704 0.00030213298 0.00021239996 0.00047157562 0.0003078606 0.00057658233 0.0005804008 0.00034556756 0.0002491523 0.00015416896 0.00021574108 0.00041382195 0.00018232985 0.0001899667 0.00023912895 0.0064044553 0.0005173967 0.0008052106 0.00064197293 0.0027769504 0.0004515289 0.0004095262 0.0006257446 0.0028938898 0.00048875855 0.00027397208 0.00052789744 0.0017860689 0.00037850149 0.000613812 0.0009321733 0.02766402 0.004578293 0.0064913244 0.004820763 0.021604655 0.003971163 0.0026619204 0.0055142846 0.018572347 0.0013455179 0.0009393328 0.002875275 0.014686145 0.0029392336 0.005286611 0.008013922 0.0038547013 0.00069447624 0.0010524538 0.0010524538 0.00323898 0.00075700297 0.00072072796 0.0011531647 0.0027072642 0.00022528715 0.00020953614 0.0004672799 0.0019621938 0.0006119028 0.0010801373 0.0017178145 0.046451155 0.048528377 0.047797628 0.04934934 0.047245387 0.045940917 0.048697345 0.04788736 0.04880235 0.0479265 0.04602158 0.047400035 0.04896702 0.04729216 0.04752652 0.049562216 4617.0 6.560104 30288.0 0.0143291075 0.007824881 0.0073296353 0.008221078 0.017828843 0.0072305864 0.0076597994 0.009508716 0.0072305864 0.0071315374 0.0069664554 0.009079504 0.008716323 0.007296619 0.01139065 0.0080890125 0.010466191 0.009409667 0.0077588484 0.009178553 0.00756075 0.0060089803 0.007461701 0.0061740624 0.01056524 0.008716323 0.00719757 0.010730322 0.008716323 0.007824881 0.006768357 0.007626783 0.010763339 0.029252509 0.008155045 0.0116877975 0.011225568 0.009376651 0.008881405 0.009409667 0.01739963 0.010003962 0.006141046 0.007890914 0.011357633 0.008353143 0.007956946 0.007890914 0.008782356 0.006933439 0.008584258 0.012909403 0.011423666 0.011423666 0.0152865825 0.01631009 0.0076597994 0.0056788167 0.0070985206 0.008254094 0.010796355 0.010334126 0.011324617 0.015154516 0.007890914 0.01967776 0.011852879 0.012909403 0.0152865825 0.026016904 0.012315108 0.010433175 0.008551242 0.01584786 0.0066362917 0.0069004227 0.016607238 0.0111595355 0.0143291075 0.016706286 0.009607766 0.0063391444 0.019116482 0.01594691 0.024068939 0.012777338 0.007956946 0.00756075 0.009244585 0.009079504 0.008254094 0.0070985206 0.0073956684 0.006504226 0.0061080297 0.008122029 6.4789953 0.0 0.0 0.0 21.0 1048576.0 5050368.0 1.0 0.0 121.0 0.0 1.0 0.0 0.0 0.0 1545049000.0 0.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 177664.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177664.0 0.0 4778496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0469656 0.0 0.0 0.0 0.0 5.4611645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8430407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.410091 0.0 7.996452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55418.0 0.0 0.0 0.0 0.0 8736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -177275.0 0.0 4778328.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 236284.0 4778328.0 266240.0 8736.0 253952.0 15744.0 5027328.0 1524.0 5046272.0 84.0 220848.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 193312.0 0.0 0.0 1000.0 193576.0 0.0 0.0 0.0 0.0


Input: 0.2634342 0.011548067 0.013749654 0.00515504 0.0060430206 0.0031154936 0.002041707 0.0020330648 0.0068877903 0.002061152 0.0071146465 0.0010456997 0.0056649265 0.002307453 0.0014345963 0.0056714085 0.0048936154 0.0016074391 0.00093767286 0.0010219337 0.0025343094 0.004625709 0.0006740874 0.00066544523 0.0026877073 0.0008706962 0.00061143184 0.0008814989 0.0018861484 0.0014432383 0.0007194587 0.00093767286 0.016651254 0.0008534119 0.0007064954 0.0006956928 0.0036102566 0.0029577746 0.0010802683 0.0007777931 0.0014518806 0.0007993985 0.0019617672 0.001179653 0.0016852184 0.0011666897 0.0018623825 0.0007172981 0.0030161089 0.0013849039 0.0014475595 0.004329715 0.0012487901 0.0023765902 0.0009247096 0.00058766594 0.0019055932 0.0016636131 0.0012293452 0.0021929445 0.0013632985 0.0025926437 0.0006956928 0.00088581996 0.0023657875 0.003942979 0.0016247234 0.0104202675 0.011211024 0.01490122 0.0037096413 0.0056022713 0.0022080683 0.0029491324 0.00087501726 0.00080804067 0.0024370851 0.003234323 0.0023981954 0.0018623825 0.015130237 0.0022642422 0.0026207308 0.008395845 0.0035411194 0.0028605503 0.005693014 0.005822646 0.0017457135 0.011102997 0.00054013415 0.0012444691 0.0011278001 0.0018818273 0.002307453 0.003253768 0.00085125136 0.0077368813 0.0011256395 0.0042735413 0.0053624515 0.015307401 0.0052544246 0.0024867775 0.011472449 0.007827624 0.0061748135 0.0013805828 0.0047099697 0.0030701223 0.008058801 0.007296132 0.00334235 0.00061143184 0.008266212 0.0070649544 0.014181762 0.012945935 0.0026401756 0.001804048 0.0021886234 0.0014518806 0.0010327365 0.00048828125 0.0014518806 0.002996664 0.0008944621 0.0009117464 0.0053905384 0.0017565162 0.0011256395 0.00898135 0.002493259 0.010746509 0.00060495024 0.00045803373 0.0018494192 0.0055655423 0.001099713 0.011831098 0.0012768771 0.009931986 0.00060495024 0.00048179965 0.001542623 0.0004796391 0.00035864906 0.00045155213 0.0009873651 0.0005206893 0.00042562568 0.0003737728 0.0011148369 0.0020157807 0.0004083414 0.00034352532 0.0012034188 0.00048828125 0.0007950774 0.00039321763 0.0011731713 0.0012660744 0.00055309734 0.0011602081 0.00091606745 0.0012444691 0.00041914408 0.00042778623 0.0010651445 0.0005077261 0.0007151376 0.0010413786 0.00064600044 0.00040402033 0.00051636825 0.00055957894 0.0017694794 0.00081020116 0.0016917001 0.001566389 0.0016981817 0.0008015591 0.0007993985 0.0010197732 0.0013157667 0.0005379736 0.00046667588 0.00092038856 0.00087501726 0.0007756326 0.0009592782 0.0010154522 0.0078362655 0.0014216331 0.0007777931 0.0031284569 0.004442063 0.0004213046 0.0016744158 0.0024630115 0.002130289 0.0016744158 0.0005379736 0.00061791344 0.0041050194 0.00041266248 0.00057038164 0.0007777931 0.0012487901 0.0008426092 0.0006135924 0.00096143875 0.0013028035 0.00043642838 0.0016895395 0.0011818134 0.0020546701 0.0017694794 0.00050556555 0.0011472449 0.0011278001 0.0008534119 0.0003716123 0.00064167933 0.0023052925 0.00047747858 0.0004213046 0.00047747858 0.0012487901 0.00032840154 0.00040618086 0.00036513066 0.015154003 0.0017089844 0.0007669905 0.0039602634 0.0035259956 0.00054013415 0.00054013415 0.0005271709 0.0029728983 0.00052501034 0.0004904418 0.001039218 0.0020481886 0.0003197594 0.0014367568 0.0014129909 0.0034784637 0.0017975664 0.0020849176 0.0009657598 0.0037463703 0.0011580476 0.003500069 0.057738177 0.022159956 0.0 1.0826635e-06 2.165327e-06 5.4133175e-06 1.0826635e-06 1.0826635e-06 0.0 0.0 0.0 0.0 0.0 0.0 1.0826635e-06 1.0826635e-06 0.0 0.0021187726 4.330654e-06 1.6239954e-05 0.0 6.4959813e-06 4.330654e-06 5.0885184e-05 1.6239954e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0041422704 5.0885184e-05 1.1909298e-05 9.7439715e-06 2.9231915e-05 2.5983925e-05 1.4074626e-05 1.2991963e-05 2.3818597e-05 7.5786447e-06 2.165327e-05 1.0826635e-05 8.661308e-06 1.7322616e-05 1.1909298e-05 3.5727895e-05 0.00582473 7.037313e-05 2.5983925e-05 4.2223877e-05 2.9231915e-05 1.840528e-05 3.0314579e-05 3.7893224e-05 3.356257e-05 3.4645233e-05 6.4959815e-05 4.0058552e-05 3.8975886e-05 3.4645233e-05 3.356257e-05 0.00029231916 0.013273455 0.00026200459 0.00015373822 0.00013208496 0.00021761536 9.094374e-05 0.000110431676 0.000110431676 0.00037135358 0.00011476233 0.00011909299 0.00016239953 0.00016456486 9.20264e-05 7.686911e-05 0.0022865853 0.00761329 0.00015915153 0.00014291158 4.547187e-05 0.0022086336 0.0016965338 0.00041466014 0.00016131687 0.00019921009 5.9546495e-05 6.712514e-05 4.330654e-05 5.9546495e-05 5.6298504e-05 5.9546495e-05 0.0003172204 0.007899113 0.000111514346 7.578645e-05 0.00012017565 0.0030725992 0.0028008504 7.037313e-05 8.0117105e-05 8.336509e-05 9.9605044e-05 0.00012991963 0.000121258316 8.661308e-05 8.9861074e-05 0.000121258316 0.00055865437 0.016542016 0.00027824452 0.0017647415 0.00015265556 0.0011378793 0.0010913248 0.005559477 0.0025821526 6.9290465e-05 5.3050513e-05 6.4959815e-05 9.527439e-05 4.4389206e-05 6.279448e-05 0.00013316762 0.0014107106 0.07268029 0.00096357055 0.0078558065 0.0024154224 0.005045212 0.0054652854 0.023014178 0.012092269 0.0019293064 0.00041790813 0.00038542823 0.00032804706 0.00039842018 0.00020678874 0.00033021238 0.003944143 0.018829685 0.00042981742 0.005012732 0.0012959483 0.0053970776 0.003591195 0.016164167 0.008584439 0.00044930537 0.00033887368 0.00032046842 0.00032263374 0.00043198274 0.00026308725 0.00040166816 0.0024684728 0.019464124 0.0005911343 0.0063379123 0.0035305656 0.006013113 0.0042213053 0.01815735 0.008343006 0.00042548677 0.00068965665 0.00037893222 0.0004807026 0.0008206589 0.00049152924 0.0006647554 0.0025604991 0.022328852 0.0016867898 0.0015330516 0.001972613 0.0020733005 0.0014984063 0.00438587 0.002178319 0.00077626976 0.0016034247 0.0007102273 0.00089536275 0.0019314718 0.0011151434 0.0016478138 0.0046608667 0.012784091 0.0008401469 0.00077085645 0.0010447704 0.0013901399 0.0014594304 0.0016402352 0.0012721296 0.0013327588 0.0012493937 0.0010079597 0.0010469357 0.001731179 0.0010794156 0.0011043168 0.0035056644 0.027633904 0.004321993 0.0029210262 0.00342663 0.0092221275 0.009198309 0.0037178665 0.006048841 0.013878664 0.0016716325 0.0018665119 0.002522606 0.0060141957 0.0025897312 0.005658 0.014607296 0.08484185 0.017236004 0.011599657 0.013711934 0.03484228 0.038514674 0.019228105 0.020869423 0.04476056 0.0055605597 0.0074725435 0.010966299 0.0213079 0.010680475 0.022578947 0.048245654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3473.0 15.574431 54090.0 0.078683674 0.00092438527 0.0014975042 0.00040672952 0.0012756517 0.017748198 0.00057311886 0.0011832132 0.001571455 0.0015344796 0.0021815493 0.00025882787 0.0032538362 0.0030319837 0.0049362173 0.0024403771 0.009206877 0.0036051027 0.0039193938 0.0029025697 0.0014235533 0.0028471067 0.0020891107 0.00112775 0.0016269181 0.0016084304 0.0028471067 0.00062858197 0.0011092623 0.004843779 0.00079497136 0.00073950825 0.0011462377 0.01974487 0.0050286558 0.020151598 0.013717878 0.014679238 0.0081900535 0.008448881 0.0046773897 0.015437234 0.0012756517 0.0022739877 0.00854132 0.008430393 0.0108153075 0.008855611 0.015437234 0.0016454058 0.012719542 0.027897948 0.02005916 0.0057496764 0.0056387503 0.013237197 0.0022739877 0.009003513 0.00051765575 0.0005361435 0.0029025697 0.00075799593 0.0007210205 0.012996857 0.0008504345 0.040432613 0.004714365 0.021002034 0.027583657 0.07509706 0.009502681 0.013366611 0.011906083 0.040192273 0.003401738 0.004511 0.023257533 0.012756517 0.04374191 0.0383435 0.01418007 0.00075799593 0.040635977 0.033259384 0.04634868 0.016990202 0.006895914 0.0073026437 0.0058051394 0.0065631354 0.0014790165 0.0006100943 0.00083194673 0.00042521724 0.00042521724 0.00049916806 5.56854 1.0 6.0 1.0 2.0 462848.0 618496.0 0.0 0.0 298.0 0.0 1.0 0.0 0.0 0.0 1539288400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 237568.0 4096.0 4096.0 4.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -237568.0 0.0 131072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6665545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.875903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.560138 0.0 4.653245 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11606.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -230840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -237446.0 0.0 129224.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 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 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 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 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 246680.0 129224.0 487424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1244.0 241664.0 0.0 0.0 0.0 0.0