Input: 0.14418009 0.007348095 0.0032433406 0.0034140428 0.0058749984 0.0037538665 0.0020342006 0.001898271 0.007645243 0.0014240984 0.0016722487 0.0014509682 0.004461964 0.0013577142 0.0011332725 0.0034993938 0.005697974 0.0015126106 0.0011917538 0.0009104114 0.0024451502 0.002013653 0.0007839654 0.0008377049 0.0022728674 0.0007507733 0.0008266409 0.0006875503 0.0015363193 0.00057374884 0.0005848129 0.0005611043 0.0039245686 0.0005468791 0.00059745746 0.00052949274 0.0040146615 0.001488902 0.00045362514 0.00052317046 0.00093412003 0.0006432942 0.00057374884 0.0008155769 0.0010242128 0.0027596846 0.00068438915 0.00043939994 0.0048207548 0.0026743335 0.0024973091 0.009886499 0.0026063689 0.001782889 0.0020926818 0.0013893257 0.0032765327 0.0019014322 0.00066542224 0.001414615 0.0017607609 0.0010099877 0.00047733376 0.0005200093 0.011985503 0.004351324 0.0054103094 0.009546675 0.0039387937 0.035809517 0.003282855 0.0029540954 0.003766511 0.0037048687 0.0009989237 0.0011301114 0.0023424127 0.004318132 0.0011395948 0.0015220941 0.008590427 0.0021717106 0.0020610702 0.01010936 0.0031437643 0.014557099 0.00269172 0.0017923724 0.0019788803 0.0067727654 0.002791296 0.0027644264 0.0016469596 0.0049266536 0.0018777235 0.0039182464 0.0055494 0.0048444634 0.0021669688 0.0036574514 0.009241624 0.00645507 0.0041822023 0.0017022797 0.0072785495 0.0045141233 0.0035310055 0.0014968049 0.0029762234 0.0017591803 0.0048254966 0.004002017 0.0027312343 0.0015963811 0.0054292763 0.0041379463 0.009186304 0.0052238014 0.0022080638 0.0012123013 0.0022870926 0.0012660408 0.00049946184 0.0005121064 0.0015473833 0.0026885588 0.0010589855 0.0008977668 0.0043781935 0.0011791092 0.0011854315 0.008833836 0.0028007796 0.0027707487 0.0010510826 0.0005848129 0.0026695917 0.016064968 0.0021385185 0.049234923 0.001258138 0.011721547 0.00097205385 0.00071442005 0.0025305012 0.0004425611 0.00073970924 0.0005705877 0.0011917538 0.0009436035 0.0016358955 0.00061800494 0.0012391711 0.00059271575 0.0005500402 0.00073812867 0.0009072503 0.00045994742 0.00047101144 0.0004409805 0.0008677359 0.0032038263 0.00048997835 0.002854519 0.0014478071 0.0007207424 0.0005705877 0.00047101144 0.0010400186 0.0004883978 0.0005500402 0.00050420355 0.0008519301 0.00043307766 0.0008218992 0.0004046273 0.0011696258 0.0007460316 0.0018271451 0.0005263316 0.0008961862 0.0007349675 0.00075393444 0.0015600278 0.00302206 0.002337671 0.005364473 0.000755515 0.0010257934 0.0005121064 0.0008266409 0.0007634179 0.012056629 0.0012976524 0.0024024746 0.009567223 0.004512543 0.001142756 0.0031769564 0.0035183607 0.0018840458 0.0018445314 0.0010036654 0.0013703589 0.0016817321 0.0010289545 0.001120628 0.0010653078 0.0029430313 0.0012375906 0.0030694774 0.0012913301 0.0019362048 0.00086457474 0.0016216703 0.00091357256 0.0030109962 0.0007065172 0.00101631 0.0017323106 0.0015489638 0.00078080426 0.0005705877 0.0008961862 0.0025953047 0.0007649985 0.00091989484 0.0011775286 0.002546307 0.0027596846 0.00058639346 0.00078080426 0.026705401 0.006744315 0.0011854315 0.0060836347 0.007201101 0.0011901732 0.00073812867 0.0007649985 0.0078048813 0.0011048221 0.001909335 0.0009704733 0.009910207 0.0010747912 0.0021748717 0.002705945 0.010936001 0.0035926478 0.0035120384 0.004272295 0.015505444 0.004618441 0.0048855585 0.074321814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0025769519 0.0 0.0 0.0014965503 0.00079662766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005030248 0.0 0.0 0.0050889053 0.0028678598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00070467865 4.755986e-06 2.2987266e-05 8.560775e-05 0.00019023944 9.670505e-05 7.926644e-06 9.511972e-06 1.9816609e-05 0.0 0.0 2.377993e-06 1.0304637e-05 3.963322e-06 6.341315e-06 0.00045816 0.0077926833 0.00026316458 0.00027267655 0.000703886 0.0024421988 0.00062382687 0.0031278536 0.0013610048 0.0002488966 0.00012841163 0.00011810699 9.5912386e-05 0.0008584555 0.00048590326 0.0005120612 0.0036922307 0.015900847 0.0007585798 0.0011604606 0.002642743 0.004759157 0.004484102 0.008185845 0.0037350345 0.0005176098 0.00028377384 0.0003693816 0.00041060013 0.0026237192 0.0013903333 0.0014101499 0.011432598 0.018249512 0.0010169884 0.0011731433 0.0023661032 0.006151868 0.0026181703 0.005769011 0.0027204242 0.002227387 0.00089808874 0.0010708895 0.0015242936 0.0048471424 0.002970906 0.0031777914 0.011400099 0.020741649 0.0015956333 0.0013641753 0.0026887176 0.010354575 0.0041369153 0.005469384 0.003020844 0.006322291 0.0015536222 0.0018001408 0.0026356091 0.004445262 0.0020236722 0.0043858117 0.010253906 0.07996081 0.010834137 0.008212003 0.0112272985 0.048003756 0.034407973 0.023644386 0.015211229 0.056822143 0.0058292537 0.006712282 0.010270552 0.018373167 0.007602444 0.031299938 0.06990031 0.050689302 0.008700284 0.007669028 0.01035299 0.024453696 0.025500013 0.014869591 0.012373491 0.041547503 0.005380606 0.0056509045 0.007909997 0.017546419 0.00965703 0.022046374 0.042470958 0.00029883446 6.1035156e-05 0.00011018035 6.658381e-05 0.000115728995 0.0001268263 5.5486507e-05 8.4022424e-05 0.00017200816 3.7255224e-05 4.2803877e-05 3.7255224e-05 0.000107802356 7.688844e-05 9.353439e-05 0.00013713093 4307.0 15.375203 66221.0 0.0065538124 0.00013590854 0.00043792755 7.550475e-05 0.00365443 0.000588937 7.550475e-05 0.00016611045 0.000302019 0.0004228266 0.0008758551 0.00064934086 0.00036242278 0.01843826 0.0012684797 0.0004832304 0.018936591 0.015976805 0.01925371 0.010404554 0.014889536 0.013017018 0.015931502 0.009166277 0.019752042 0.013122725 0.0009362589 0.00034732185 0.0010419656 0.0006644418 9.0605696e-05 0.00010570665 0.0015402968 0.009453194 0.007822292 0.01573519 0.006614216 0.019344317 0.004530285 0.002672868 0.0049531115 0.02129234 0.002672868 0.004394376 0.008033705 0.006689721 0.004802102 0.009407892 0.01493484 0.0025973634 0.00667462 0.023119554 0.012715 0.0070974464 0.0070219417 0.0036997327 0.0034128146 0.005360837 0.0015402968 0.0024916567 0.0012382779 0.0025218586 0.0024765558 0.027091105 0.00025671616 0.033282492 0.016928164 0.030775735 0.026456865 0.056311443 0.015327464 0.01128041 0.014557316 0.038175203 0.011053896 0.0080186045 0.020008758 0.012216669 0.04225246 0.034475468 0.015191556 0.003624228 0.043656845 0.03113816 0.039353076 0.01208076 0.014391205 0.00684073 0.01001193 0.0074296673 0.00095135986 0.00031711994 0.0005738361 0.00031711994 0.000302019 0.00036242278 5.7712765 0.0 1.0 14.0 4.0 632681.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.543024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.019736722 0.0043577817 0.0038931929 0.004017636 0.004120962 0.0038667957 0.003975401 0.0037762914 0.0038758463 0.0039210985 0.0037815708 0.003715201 0.0037046422 0.0038034427 0.0037536654 0.0038577453 0.0038170184 0.0036450604 0.0037619616 0.0038230522 0.0038049512 0.0036842788 0.003837382 0.0038185269 0.0036872956 0.0036646696 0.003714447 0.0037845876 0.003748386 0.0037981633 0.0037468777 0.0037838335 0.004073447 0.0037604533 0.0036548648 0.0037340561 0.0039399536 0.003778554 0.003658636 0.003647323 0.003849449 0.0037136928 0.0037348103 0.003774783 0.0037845876 0.003774783 0.0038992264 0.0037921297 0.0041119116 0.0038343652 0.0037091675 0.0038170184 0.0037476318 0.0037581907 0.003826069 0.003778554 0.0038034427 0.0036857873 0.0038072139 0.0036971003 0.0038351193 0.003707659 0.0037989176 0.0041888403 0.0038509576 0.003837382 0.0038954555 0.0037808167 0.0036601443 0.003696346 0.003755928 0.00372576 0.0037732746 0.0037423524 0.0037227431 0.0037687495 0.003838136 0.0038441697 0.0038290857 0.0037136928 0.0038313484 0.003774029 0.0037687495 0.0039293948 0.003837382 0.003927132 0.0037959008 0.0038547285 0.003838136 0.003882634 0.003949758 0.0038132474 0.003918836 0.0038019344 0.0038509576 0.003849449 0.003988222 0.003923361 0.0037423524 0.00394297 0.0038124933 0.0039550373 0.0037551739 0.0038358734 0.0038351193 0.0038743378 0.0037461233 0.0038170184 0.0038577453 0.0038630248 0.003871321 0.0038947014 0.003774029 0.0038366276 0.0039037517 0.0040108482 0.004035737 0.004194874 0.0038441697 0.0038200351 0.0038962096 0.0038856508 0.003800426 0.0038434155 0.00385322 0.0038909302 0.0037943923 0.0038705668 0.004161689 0.0038879134 0.003941462 0.0038275772 0.0038087221 0.0038351193 0.003945233 0.0038705668 0.003856237 0.0039550373 0.0037815708 0.003889422 0.0038026886 0.0038245604 0.0037242516 0.0038321025 0.00376347 0.0036412892 0.003789113 0.0036314847 0.003703888 0.0037657327 0.0037287767 0.0037053965 0.0038072139 0.0036895582 0.0037830793 0.0037581907 0.0037302852 0.0037250058 0.0037921297 0.0037280226 0.0037114301 0.0037121843 0.003691821 0.0038615165 0.003737827 0.0036578816 0.0037860961 0.0037121843 0.0038758463 0.0037061507 0.003681262 0.0037431065 0.003721989 0.0035847242 0.0037136928 0.0037431065 0.0037182178 0.003629222 0.0036646696 0.0037197263 0.003703888 0.0037913756 0.0039060144 0.0038539744 0.003993502 0.0038449238 0.0037529112 0.0038230522 0.0038728295 0.003941462 0.0039912392 0.0040221615 0.0039580544 0.0040410166 0.003986714 0.0038992264 0.0038336108 0.0038396446 0.0037250058 0.0038343652 0.0037159552 0.0037476318 0.0036141379 0.003680508 0.0036322388 0.0037250058 0.003774029 0.0038034427 0.0037815708 0.0037468777 0.0035590811 0.0037227431 0.0036978545 0.00376347 0.0036827703 0.0038049512 0.0037250058 0.0037250058 0.0037823252 0.0038049512 0.0037272684 0.0037468777 0.003796655 0.0037476318 0.0037649784 0.0037619616 0.003721989 0.0037551739 0.0036752285 0.003703134 0.0037423524 0.0038026886 0.0038449238 0.0038403987 0.0037136928 0.0036578816 0.0036194173 0.0037589448 0.0037695037 0.0038064595 0.0038253146 0.00372576 0.0037551739 0.0038969638 0.003912048 0.004072693 0.0042906576 0.0048057777 0.0047861687 0.004102861 0.0041232244 0.0038569912 0.0037732746 0.0038456782 0.003901489 0.010220197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013035939 5.5889886e-05 3.700817e-05 3.1343654e-05 1.3594838e-05 1.20843e-05 1.4727741e-05 6.797419e-06 1.0196129e-05 6.04215e-06 1.4727741e-05 7.930322e-06 1.1706666e-05 3.7763439e-06 8.685591e-06 8.685591e-06 0.0037582172 0.00016276042 0.00014274579 0.0001197101 3.7385802e-05 3.9273975e-05 4.229505e-05 3.5875266e-05 0.0001076258 2.756731e-05 2.9455481e-05 2.4546234e-05 2.9077846e-05 2.1902793e-05 3.1343654e-05 3.0588384e-05 0.0017605314 0.000112535046 8.496774e-05 6.3442574e-05 2.1902793e-05 2.152516e-05 2.3790966e-05 2.152516e-05 0.000104982355 1.3594838e-05 1.6993547e-05 1.2461935e-05 1.3594838e-05 1.3972472e-05 1.51053755e-05 1.9259352e-05 0.0010789015 7.212817e-05 6.0421502e-05 4.644903e-05 1.812645e-05 1.888172e-05 1.812645e-05 1.9636987e-05 5.853333e-05 1.9636987e-05 1.6615913e-05 1.6993547e-05 1.1706666e-05 1.0573763e-05 1.6238278e-05 6.382021e-05 0.0005082959 3.021075e-06 9.818494e-06 1.0573763e-05 5.664516e-06 3.0966017e-05 7.5526877e-06 1.3217204e-05 3.360946e-05 1.3972472e-05 1.5860644e-05 1.888172e-05 2.6434407e-05 9.818494e-06 8.307957e-06 5.7400426e-05 0.001251858 8.307957e-06 6.797419e-06 8.0813756e-05 0.00020845418 0.00034629073 7.061763e-05 0.00027114147 0.00036970407 5.3246447e-05 6.721892e-05 0.00041313202 0.00019372643 4.1162148e-05 6.533075e-05 0.0019659647 0.001829261 3.3987093e-05 0.00020052385 0.000276806 0.00033458407 0.00044825202 0.00033647224 0.00050716294 0.0005166038 0.00010611526 0.00013896945 0.0005449264 0.00029077847 8.3834835e-05 0.000120843004 0.002738227 0.0022423929 4.909247e-05 0.00022091612 0.00050036557 0.00040671224 0.0006053479 0.00059666234 0.0007050434 0.00065746147 0.00015294192 0.00018353031 0.0006521746 0.0005052748 0.00011404558 0.00013632601 0.0030992453 0.0016529057 2.5301504e-05 6.306494e-05 0.00021676213 0.0002722744 0.0004969668 0.00028700213 0.00037801202 0.000639335 0.0001570959 0.00016238278 0.0004909247 0.00047770748 9.1765156e-05 0.000116311385 0.00220614 0.0013228533 0.0001306615 0.00025981246 0.00023677676 0.00029644297 0.00026660986 0.00030777202 0.00030701674 0.00042030707 0.00012197591 0.00013783654 0.00024546235 0.0002779389 0.00011668902 0.0001570959 0.0008085152 0.001438787 0.0004138873 0.00053359737 0.0006706787 0.0003073944 0.00036064084 0.00082550873 0.000604215 0.00029795352 0.00020014623 0.00022544773 0.0002054331 0.00019712515 0.00021034235 0.00021676213 0.0002526374 0.059654903 0.059051067 0.058948725 0.0588411 0.058549944 0.058997065 0.05915076 0.059386782 0.058749337 0.05890681 0.058668144 0.05865719 0.05881882 0.059143584 0.059092984 0.059698332 6069.0 6.149448 37321.0 0.018086333 0.009217331 0.0101819355 0.009351304 0.009083358 0.009833606 0.00956566 0.009163742 0.009110153 0.008976179 0.009913989 0.0097264275 0.009297715 0.011387691 0.013129338 0.010744621 0.014629833 0.011280512 0.011039361 0.010744621 0.009297715 0.009833606 0.009190536 0.010047962 0.0090565635 0.010074757 0.01020873 0.008922591 0.010825004 0.008788617 0.011307307 0.00868144 0.009136947 0.01050347 0.009351304 0.010315908 0.009163742 0.009458482 0.009404893 0.009887195 0.008842207 0.009753222 0.008761823 0.009083358 0.009994373 0.009110153 0.01015514 0.009297715 0.009619249 0.009351304 0.00956566 0.011414485 0.010047962 0.009538866 0.009190536 0.009538866 0.009485276 0.008627851 0.010610648 0.009190536 0.009297715 0.008118753 0.008252726 0.008842207 0.009458482 0.014040353 0.008976179 0.013665229 0.011307307 0.015862383 0.009592455 0.011334102 0.01114654 0.014576244 0.0092709195 0.009780017 0.01267383 0.012888187 0.014629833 0.0128613915 0.010691032 0.009002974 0.014924574 0.013343694 0.015755204 0.010691032 0.011200129 0.010744621 0.010905389 0.010583853 0.009619249 0.009967579 0.009217331 0.010235524 0.008654645 0.008788617 6.563485 0.0 24.0 0.0 23.0 1325904.0 3661824.0 0.0 0.0 18.0 0.0 1.0 1.0 0.0 0.0 1403909500.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 1191936.0 4096.0 4096.0 3.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1191424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9997497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.073403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1191936.0 0.0 0.0 0.0 0.0 0.0 2269184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1040.0 3587864.0 122648.0 3465216.0 0.0 0.0 6480.0 1316352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 3464272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.12227255 0.006415068 0.0048044687 0.0040192106 0.004303434 0.0037532067 0.003607451 0.004806291 0.0052872845 0.0037131237 0.0033669544 0.0043325853 0.0037914675 0.0043744897 0.003341447 0.0055132057 0.00410302 0.0035619023 0.003217555 0.0033031863 0.0033669544 0.0035983413 0.0031501427 0.0030827308 0.0033159398 0.003277679 0.0031902257 0.0033031863 0.0032867887 0.0032139109 0.0032685692 0.0032048011 0.0044564772 0.0031847598 0.0031902257 0.0031993354 0.003445298 0.0032357743 0.0031355673 0.0032558157 0.0031847598 0.0033031863 0.003210267 0.0033286933 0.0032703911 0.003283145 0.0035783 0.0031884038 0.00343801 0.0031483208 0.003206623 0.003948155 0.003246706 0.0033214057 0.0032940765 0.003115526 0.0032284865 0.0033997493 0.0034289004 0.0034635174 0.0032029792 0.0032539938 0.003308652 0.0033195838 0.0033687763 0.0032521717 0.0031647184 0.0034616955 0.003540039 0.003871633 0.0035327512 0.003410681 0.003439832 0.0032958984 0.0032922546 0.0032904325 0.0034216125 0.003403393 0.003217555 0.003348735 0.004314366 0.003314118 0.0032576376 0.003875277 0.0033851739 0.0035145318 0.004006457 0.0037914675 0.003272213 0.0034015712 0.00311006 0.0032612814 0.0032977203 0.0034325444 0.0033341593 0.0032849668 0.003275857 0.003871633 0.0032795009 0.003547327 0.003707658 0.0046623573 0.0036147388 0.003212089 0.0037641383 0.0038297283 0.003875277 0.0031902257 0.0038971403 0.0033250495 0.0038934965 0.003911716 0.0033669544 0.0033469128 0.003995525 0.0038953184 0.005088692 0.0045530405 0.003308652 0.003374242 0.0033159398 0.0032795009 0.003111882 0.0031592525 0.003246706 0.0034343663 0.0031064162 0.003210267 0.003904428 0.0032485279 0.0032084452 0.003939045 0.0033505568 0.00409391 0.003312296 0.0032193768 0.0034525858 0.004015567 0.0034471198 0.0047425227 0.0032248425 0.0039262916 0.003244884 0.003337803 0.0033159398 0.003212089 0.0030936624 0.003144677 0.0032886106 0.0033396252 0.0031956914 0.0030754432 0.0031301014 0.003111882 0.0032048011 0.0030408262 0.0032521717 0.0031264576 0.0031355673 0.0032558157 0.0031301014 0.0032685692 0.0031301014 0.0032649254 0.0032521717 0.0032813228 0.0030554016 0.0030973065 0.0032357743 0.0030973065 0.00343801 0.003277679 0.0031410332 0.0031647184 0.0031209916 0.0033013644 0.00337242 0.0031264576 0.0033979274 0.0031173478 0.0034872026 0.0032157328 0.0032339522 0.0032303084 0.003275857 0.0031337454 0.0032922546 0.0030572237 0.0033979274 0.0032029792 0.0032849668 0.0031847598 0.004099376 0.0033596666 0.0033268714 0.0033359812 0.0032503498 0.0030936624 0.0032048011 0.003348735 0.0034507636 0.0033906396 0.0033323374 0.0031282795 0.0033961055 0.0031847598 0.00324124 0.0031665403 0.0032576376 0.0032922546 0.0032375962 0.0033469128 0.0032612814 0.003179294 0.0033050082 0.0031264576 0.0032886106 0.0032631035 0.003177472 0.0031920476 0.0031246357 0.003144677 0.003079087 0.0032339522 0.003374242 0.0032157328 0.0031337454 0.0032284865 0.0031355673 0.0032813228 0.0031610746 0.003048114 0.0040592933 0.0034179688 0.0031938695 0.0036621094 0.003348735 0.0030918405 0.0031902257 0.00311006 0.0034471198 0.0030845527 0.0032649254 0.003348735 0.00330683 0.0030317164 0.0032940765 0.003246706 0.0035673683 0.003314118 0.0032612814 0.003048114 0.0035509707 0.0033286933 0.0034944904 0.0073387944 0.08411215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003565822 4.380841e-05 1.4602804e-05 6.3887264e-06 1.0039427e-05 5.4760512e-06 1.6428154e-05 1.551548e-05 1.2777453e-05 0.0 9.1267526e-07 9.1267526e-07 2.0078855e-05 0.0 0.0 2.5554906e-05 0.013709295 0.00016793224 0.0001515041 0.00012686185 3.468166e-05 4.9284463e-05 0.00012229849 5.4760512e-05 0.00010495765 4.9284463e-05 7.118867e-05 5.932389e-05 8.579147e-05 5.110981e-05 2.2816881e-05 9.21802e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029105213 2.4642231e-05 9.8568926e-05 3.833236e-05 0.0002172167 0.00010130695 0.00014694071 8.305345e-05 1.916618e-05 8.214077e-06 5.4760512e-06 7.301402e-06 1.09521025e-05 1.4602804e-05 3.1943633e-05 2.0078855e-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 0.0073862807 5.8411217e-05 0.00092271465 0.0002026139 0.00027288988 0.00016336887 0.0022771247 0.0013051255 0.0001396393 4.9284463e-05 1.0039427e-05 4.6546436e-05 1.916618e-05 5.2935164e-05 6.297459e-05 0.00011499708 0.004117991 1.3690128e-05 0.00030483352 0.0001140844 0.0003723715 0.00022543078 0.0013315931 0.00068359374 9.94816e-05 3.833236e-05 8.214077e-06 1.551548e-05 2.5554906e-05 1.09521025e-05 1.6428154e-05 9.8568926e-05 0.00283842 4.015771e-05 0.00014694071 8.761682e-05 0.00032308704 0.00019439982 0.0009756498 0.000500146 0.00014602803 9.8568926e-05 2.0078855e-05 2.4642231e-05 4.5633762e-05 2.6467582e-05 3.103096e-05 0.00010860835 0.0013014749 3.103096e-05 6.753797e-05 0.00016519421 0.00027471525 0.00010495765 0.0008113683 0.0004499489 0.0001515041 8.85295e-05 1.4602804e-05 3.9245035e-05 3.1943633e-05 1.4602804e-05 2.8292932e-05 0.00016336887 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013069509 0.00014146465 0.00022908149 8.9442176e-05 0.00017158294 0.00021539135 0.00053665304 0.000320349 0.00012868721 0.00012047313 5.3847838e-05 6.206192e-05 5.932389e-05 5.4760512e-05 7.9402744e-05 0.00016884491 0.009880622 0.0019850687 0.001143582 0.0014593677 0.0020361785 0.0028712763 0.001672021 0.0020389166 0.0046318267 0.00041070385 0.0005576446 0.0009674358 0.0017121787 0.0007127994 0.0014767086 0.0038268473 0.0048627337 0.0012996495 0.00044721086 0.0008916837 0.0007885514 0.0018025336 0.0007876387 0.0011846524 0.0022570458 0.00018709843 0.000463639 0.0005156615 0.0010879089 0.0004864559 0.0009774752 0.002520809 0.050365984 0.049721636 0.050008215 0.050240945 0.049903255 0.050209004 0.050257374 0.050244596 0.0500648 0.049963493 0.050144203 0.050362334 0.050302096 0.05017067 0.050019167 0.04989139 2386.0 6.5469403 15621.0 0.00921836 0.0076819668 0.009346393 0.008578196 0.008002048 0.008002048 0.0070418026 0.0074899173 0.00851418 0.007938032 0.007745983 0.00761795 0.00691377 0.0078099994 0.010562704 0.0078099994 0.01062672 0.007874016 0.008578196 0.01152295 0.007105819 0.009538442 0.0076819668 0.0075539337 0.0069777863 0.008130081 0.0086422125 0.008578196 0.008002048 0.0074899173 0.008898278 0.008130081 0.00921836 0.014019589 0.0076819668 0.011202868 0.014659753 0.010050573 0.010818769 0.011394917 0.010818769 0.011138852 0.0078099994 0.008322131 0.011266884 0.009538442 0.010498688 0.011010819 0.012675245 0.008322131 0.011586966 0.014915818 0.011010819 0.00921836 0.00992254 0.010306639 0.009538442 0.008898278 0.0065296716 0.0075539337 0.008130081 0.0075539337 0.008578196 0.008322131 0.008706229 0.017220408 0.008834261 0.013699507 0.01542795 0.03264836 0.00992254 0.010050573 0.010434671 0.017796556 0.008834261 0.0086422125 0.02054926 0.010178606 0.01773254 0.01805262 0.011971065 0.009154344 0.01805262 0.016516227 0.02426221 0.012995327 0.00921836 0.011010819 0.010946803 0.010498688 0.008578196 0.010306639 0.0078099994 0.007745983 0.007425901 0.0066577042 6.5002456 0.0 0.0 0.0 11.0 548864.0 552960.0 1.0 0.0 126.0 0.0 1.0 0.0 0.0 0.0 998099000.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 0.0 5.0 1.0 4.0 0.0 34816.0 1024.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 503808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.184279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6039734 0.0 7.641865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34330.0 0.0 503499.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 35504.0 464768.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 528.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.42248172 0.011347073 0.011035521 0.004532999 0.008279829 0.0015340777 0.008446537 0.0036202047 0.0054120873 0.0012425665 0.0151276095 0.0023667065 0.0020587977 0.0064278217 0.00058028946 0.0011387157 0.0004928361 0.0027347393 0.0013427734 0.0024304746 0.0005411177 0.00048737027 0.0024240979 0.001057639 0.00053382985 0.00043817775 0.00036985482 0.00059031014 0.00058302237 0.0029269545 0.0004737057 0.0007469974 0.10516813 0.00053109694 0.013053325 0.0010148233 0.00036894385 0.0006413246 0.0025516339 0.00045457526 0.0016479492 0.0007469974 0.0023029384 0.0003443476 0.00039536206 0.0015103924 0.00069325004 0.004032875 0.0047835163 0.0030745321 0.0018164791 0.0015668727 0.0009710967 0.0009410346 0.0017900609 0.0009036847 0.000892753 0.00099296 0.011294236 0.0032029792 0.005851176 0.007121983 0.005858464 0.00064770144 0.00040082788 0.0019039325 0.0014056305 0.0036839726 0.0026245117 0.0012525872 0.0007679498 0.00075975107 0.00057391264 0.0015012827 0.0004737057 0.0012462103 0.0020697294 0.0033496458 0.0033897285 0.0014384255 0.0012525872 0.00034343664 0.0014803302 0.0014794193 0.004467409 0.0027720893 0.0014438914 0.0006003309 0.00062310515 0.000529275 0.00060488575 0.00030517578 0.0003443476 0.00034252566 0.00029697703 0.0031692733 0.0003142855 0.007304177 0.0014156513 0.0046732887 0.004822688 0.022835348 0.002516106 0.004171343 0.0030863748 0.009784755 0.0002851344 0.0005192543 0.008460201 0.010147323 0.0090878615 0.015958415 0.013941523 0.0013664587 0.012997756 0.01754624 0.015375393 0.0038907635 0.0010713036 0.00060670765 0.009107903 0.0034872026 0.00027875756 0.0026691493 0.00040902663 0.0027593356 0.00068049645 0.0003343269 0.0007196683 0.0005201653 0.00027511368 0.00026327104 0.00033068302 0.00027329175 0.0019449262 0.0002878673 0.0003343269 0.0005693578 0.00025598326 0.00024596258 0.00039991693 0.00023776382 0.00027875756 0.00029060023 0.00030517578 0.00025325036 0.00029060023 0.00026964786 0.00024322965 0.00021681144 0.00022956506 0.00030062092 0.00025689424 0.00023411993 0.00023776382 0.00024414062 0.00024960647 0.00027602466 0.0002851344 0.000462774 0.00031246356 0.00035619023 0.00022409923 0.00025962715 0.0001885713 0.00019585909 0.00025416134 0.0002714698 0.00026053813 0.00053200795 0.00023594187 0.00031246356 0.00027055884 0.00027055884 0.00020952367 0.0003507244 0.00029697703 0.0002678259 0.00024960647 0.0009137054 0.00030244287 0.0002623601 0.0002350309 0.00036438898 0.00029606605 0.00022409923 0.00022318825 0.00025051742 0.00026964786 0.00020952367 0.00025598326 0.00057755655 0.002149895 0.00043635583 0.00026053813 0.0002623601 0.00041449248 0.00022774312 0.0002842234 0.00024596258 0.0002842234 0.0014293158 0.0001922152 0.0003142855 0.0002842234 0.00021407854 0.00025598326 0.0003707658 0.00031610744 0.00020679075 0.00021590048 0.00024049674 0.00023776382 0.0002149895 0.000231387 0.00031064163 0.00023685285 0.0002350309 0.00020041394 0.00031155258 0.0002623601 0.00024414062 0.0002514284 0.00035801218 0.00028604537 0.00037167678 0.0013819452 0.00024687353 0.00039171817 0.00025325036 0.00027602466 0.00036529996 0.00028877828 0.00058028946 0.0002842234 0.0003215733 0.00027238077 0.000331594 0.0002450516 0.00031246356 0.00038351942 0.00030881967 0.0004044718 0.00038898524 0.0002842234 0.00030335382 0.00032612815 0.00029151118 0.00035619023 0.0005566042 0.00028877828 0.0016151542 0.0006358588 0.00047917152 0.0013145333 0.0030909297 0.007466007 9.1182307e-07 0.0 9.1182307e-07 0.0 0.0 0.0 0.0 0.0 0.0 9.1182307e-07 9.1182307e-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 0.0 0.0 0.0 0.0 0.00087079103 1.13977885e-05 1.0030054e-05 0.0 6.3827615e-06 3.1913808e-06 1.23096115e-05 6.838673e-06 1.3677346e-06 1.3677346e-06 1.8236461e-06 3.6472923e-06 2.2795577e-06 0.0 1.3677346e-06 9.1182307e-07 0.000814258 3.9208393e-05 2.5986958e-05 1.3677346e-05 1.3677346e-06 4.5591153e-07 2.2339666e-05 1.0941877e-05 2.2795577e-06 4.5591153e-07 2.2795577e-06 0.0 0.0 0.0 4.5591153e-07 0.0 0.00078872696 7.2945845e-06 1.6868727e-05 2.0060108e-05 2.0971931e-05 1.3677346e-05 6.382762e-05 3.55611e-05 7.2945845e-06 3.191381e-05 1.4589169e-05 6.838673e-06 4.3311597e-05 1.0941877e-05 1.4589169e-05 0.0007709464 0.015555246 0.0020684707 0.0013563368 0.0006866028 1.50450805e-05 2.2795577e-05 0.0013025393 0.00039846668 2.5986958e-05 8.206408e-06 5.015027e-06 3.6472923e-06 2.7354693e-06 9.1182307e-07 3.1913808e-06 2.0060108e-05 0.03150531 0.0039085294 0.0023853292 0.00196817 0.0008224644 0.00047141252 0.002231231 0.0010390223 0.00020789566 9.209413e-05 6.519535e-05 6.656309e-05 0.00011215424 5.4253473e-05 5.379756e-05 0.0007682109 0.24909638 0.00031913808 0.094155304 0.025320414 0.0060271504 0.0045358636 0.056582723 0.0428338 0.00012355203 8.251999e-05 9.756507e-05 0.00013540573 0.00031685852 7.021038e-05 0.00012400794 0.00010440374 0.14253162 0.0028435201 0.030145783 0.014654364 0.0076871244 0.005075207 0.03278004 0.0305675 0.00068705867 0.00057490444 0.0006569685 0.000700736 0.0011602949 0.00055074116 0.0015428046 0.0023511357 0.028953573 0.0032802834 0.0028954942 0.0026971726 0.0053419154 0.003967342 0.0061000963 0.00548416 0.00093142723 0.00048463396 0.00064192346 0.0008425245 0.0019558605 0.0003273445 0.00091911765 0.0014703147 0.021915212 0.002828475 0.0018158957 0.0036965306 0.0042700674 0.0033773927 0.0036915157 0.0030878887 0.0023844172 0.0005160919 0.0006683663 0.0006724695 0.0012186515 0.0005174596 0.00056715397 0.0010599943 0.00090042525 0.00015090672 5.4253473e-05 4.8782535e-05 0.00010485965 2.689878e-05 4.103204e-05 2.963425e-05 0.00015181855 4.8326623e-05 4.0576128e-05 4.8782535e-05 0.00012127247 2.3251489e-05 5.1062092e-05 2.5531046e-05 0.0011452498 0.00019695378 0.00013540573 0.00013358209 0.00011261015 7.659314e-05 0.00019239467 0.00015273037 0.00017917324 6.5651264e-05 6.473944e-05 5.972441e-05 9.437369e-05 5.92685e-05 6.200397e-05 7.066629e-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 0.00042901275 9.3461866e-05 8.799093e-05 0.000111242414 0.00011808109 8.024043e-05 0.00020424837 0.0001303907 7.431358e-05 5.698894e-05 4.9694358e-05 5.060618e-05 5.8356676e-05 5.1973915e-05 5.653303e-05 0.00021427842 0.003262047 0.0024309203 0.0024897328 0.002406301 0.0023324434 0.0024195225 0.0022439966 0.002819357 0.0024564513 0.0023949032 0.0021974936 0.00260827 0.0025453542 0.0024113161 0.0028175332 0.004181165 4431.0 9.279846 41119.0 0.0014591794 0.0015078188 0.00038911452 0.00087550766 0.0003404752 0.000121598285 0.0003404752 0.00024319657 0.000121598285 0.00019455726 0.00024319657 0.0002918359 0.0011187042 0.0006809504 0.0030885965 0.0002918359 0.022325445 0.021158103 0.020233955 0.019309808 0.009460347 0.008900994 0.008463241 0.008633479 0.008341642 0.008463241 0.000121598285 0.0003404752 0.00043775383 0.000997106 0.00036479486 0.00048639314 0.00041343417 0.016391449 0.0061285538 0.02351711 0.027821688 0.013448771 0.006177193 0.005593521 0.0037209075 0.0103844935 0.0034533914 0.0022374084 0.014567475 0.046620782 0.052117027 0.0128407795 0.01279214 0.0003404752 0.01704808 0.018677497 0.021912012 0.04263236 0.0068581435 0.0041343416 0.0026751624 0.0028697196 0.0027967605 0.000121598285 0.00041343417 0.0001702376 0.00014591795 0.061577372 0.00019455726 0.01848294 0.0062258323 0.016658965 0.009314429 0.07920913 0.004766653 0.028235123 0.0036479486 0.014762032 0.00043775383 0.0020671708 0.014713393 0.012500304 0.014640434 0.024246698 0.0072715776 0.00036479486 0.02123106 0.03630925 0.07215642 0.0073931757 0.0013862205 0.0011916632 0.0035020306 0.0055692014 0.0009727863 0.0003404752 0.0003404752 0.00024319657 0.0011916632 0.00048639314 5.436865 0.0 0.0 0.0 1.0 1097728.0 1114112.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1444161700.0 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 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 1085440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1085440.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5542984 0.0 3.2338998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1085364.0 0.0 944.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 1093464.0 944.0 1097728.0 0.0 0.0 0.0 0.0 12.0 1105920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.05682861 0.008310457 0.006174698 0.0056534777 0.00575523 0.0049619777 0.004201951 0.0054229777 0.005052309 0.0056244056 0.003754449 0.0044604847 0.004957825 0.003180276 0.004323431 0.004638032 0.0050408877 0.0037606787 0.004936021 0.0041552284 0.004357694 0.003181314 0.0041033137 0.0038354355 0.0050782664 0.003339134 0.0031647016 0.0029196655 0.004143807 0.003440886 0.0037918275 0.0037918275 0.0061726216 0.0038167464 0.0034834559 0.0030141498 0.0048955274 0.004175994 0.0038468568 0.0037243387 0.004731478 0.0038977328 0.0033318659 0.003090983 0.004370154 0.0037129174 0.0037274535 0.0035779402 0.0055153854 0.0039506853 0.0031024043 0.002888517 0.0036776157 0.0030785236 0.0026943572 0.0028521768 0.004165611 0.0033183682 0.0035208343 0.0033453635 0.0040160976 0.0032176543 0.00350526 0.0034595754 0.0066014347 0.0039465325 0.0036184334 0.003223884 0.004152113 0.0032197307 0.0035426384 0.003072294 0.005008701 0.0037814446 0.0037118793 0.003581055 0.0041271946 0.0031252466 0.0035436766 0.0034574987 0.0051779416 0.003631931 0.0036443905 0.003336019 0.0039299196 0.0033806653 0.0033661295 0.0035436766 0.004648415 0.0036402375 0.0038094784 0.0035062982 0.0041095437 0.0033806653 0.0036900751 0.003790789 0.0059088967 0.0036329695 0.003339134 0.002949776 0.004009868 0.0030536046 0.0032654156 0.0030338774 0.0049744374 0.0031678164 0.0031958502 0.0030556812 0.0035758635 0.0028282963 0.0030857916 0.0031896203 0.0044989013 0.0032913727 0.0032186925 0.0031366677 0.0038956562 0.003328751 0.0032924109 0.0036257014 0.0046297256 0.003295526 0.0034782644 0.0031584718 0.004042055 0.0032041564 0.0034647668 0.0033474402 0.008667627 0.004595462 0.0040223273 0.0035281023 0.004367039 0.0034325798 0.0030203795 0.0033920866 0.0045425096 0.0038323207 0.0029580821 0.0031896203 0.0037316068 0.0027909179 0.002849062 0.002983001 0.005228818 0.0032103863 0.0034865707 0.0030172647 0.0036661946 0.0031719694 0.003306947 0.0032737218 0.004544586 0.0028397173 0.0030432218 0.0026995486 0.0035187576 0.0032290753 0.0029913075 0.0031512037 0.005012854 0.003411814 0.0032664537 0.0027929945 0.0037772914 0.003015188 0.003054643 0.0031833907 0.004136539 0.0029996138 0.0031148638 0.0030183028 0.003646467 0.0028272578 0.002917589 0.0030359537 0.0046795635 0.0031096723 0.003837512 0.0028480238 0.003569634 0.0031512037 0.002983001 0.003115902 0.004258019 0.0031449741 0.0033308277 0.0031750845 0.0036558118 0.0031885821 0.003328751 0.0033484786 0.006726029 0.004056591 0.0037264153 0.0033349807 0.004118888 0.0032508795 0.003306947 0.0032280372 0.0043265456 0.0033256363 0.003111749 0.0030806002 0.0036412757 0.002986116 0.0030785236 0.002798186 0.004255942 0.0032695686 0.0030816386 0.003000652 0.0037066878 0.0030058434 0.0029310868 0.0029425079 0.0039766426 0.0031065573 0.0027275824 0.0026424427 0.003531217 0.0029487377 0.0035831316 0.0028791723 0.004950557 0.0032394582 0.0033941632 0.002975733 0.0038001337 0.0030691791 0.0031968884 0.0029051295 0.004442834 0.005448935 0.0034626902 0.0031397827 0.0037814446 0.0030702173 0.0032446496 0.0031979268 0.0046193427 0.0033162916 0.0034180437 0.0030452984 0.003739913 0.0030785236 0.0033111002 0.0032394582 0.004350426 0.0030359537 0.0031927354 0.002863598 0.004015059 0.003094098 0.0042331 0.004526935 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045952518 0.00029328075 0.0002719607 0.0002683207 0.00030368078 0.00024128062 0.00032864083 0.00030316078 0.00033436087 0.0003494409 0.00033124085 0.0003556809 0.00052000134 0.0001575604 0.00018876049 0.0007420419 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09928437 0.06200444 0.06246516 0.05530162 0.060596276 0.05956615 0.0549267 0.05445974 0.060478237 0.053135816 0.052108813 0.052914817 0.056407664 0.05050981 0.056617226 0.053845096 4016.0 5.705179 22912.0 0.017108938 0.010474861 0.009383729 0.008598114 0.013486383 0.012526187 0.011827863 0.011522346 0.012569833 0.009689245 0.008467179 0.008598114 0.01387919 0.010518505 0.011871508 0.009907472 0.016716132 0.011958799 0.008685405 0.0075069834 0.009820182 0.008467179 0.0078125 0.008336243 0.010256634 0.008467179 0.009645601 0.008816341 0.011522346 0.0089472765 0.009601955 0.009165503 0.01802549 0.010867667 0.010343924 0.009165503 0.010824022 0.008816341 0.010736732 0.008292598 0.014228352 0.011609637 0.009776536 0.0089472765 0.011478701 0.009340084 0.011653282 0.00955831 0.01479574 0.009601955 0.009951117 0.009034567 0.012089735 0.009383729 0.009601955 0.009863826 0.013748255 0.009252793 0.010562151 0.009514665 0.011129539 0.009820182 0.010431215 0.010736732 0.01802549 0.010998603 0.009732891 0.008161662 0.013093576 0.008248952 0.009383729 0.008336243 0.015450419 0.009340084 0.008903631 0.008685405 0.011347765 0.007987081 0.009907472 0.007943436 0.013180866 0.008030727 0.00872905 0.00872905 0.011435056 0.009427374 0.008161662 0.007943436 0.010911313 0.008903631 0.012046089 0.008510824 0.011347765 0.008990922 0.0100384075 0.00872905 6.5544286 0.0 0.0 0.0 14.0 963124.0 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: 0.7746233 0.0052404813 0.0038368222 0.0019555942 0.0027620008 0.0013699617 0.0012526028 0.0010492582 0.0022902414 0.0008993642 0.0011085187 0.0007959489 0.0022879173 0.0014141166 0.0014745389 0.0029595357 0.007296005 0.000679752 0.00063559716 0.00074598426 0.001094575 0.0009272514 0.0006936956 0.00042528074 0.0007657377 0.000527534 0.0006158437 0.00073320256 0.00086450507 0.00050429464 0.00070647727 0.0010422864 0.0025609802 0.00025911914 0.00031605564 0.0003276753 0.0011468636 0.00038693575 0.00027073882 0.00038344983 0.00046594965 0.00024401353 0.00031954152 0.00085520936 0.00062049157 0.00081686437 0.0004868651 0.00035323863 0.0018998197 0.0008029207 0.0006065479 0.0018928478 0.00086915295 0.0007355265 0.0005612311 0.00048105526 0.0006867238 0.00080989255 0.0005740128 0.0011968283 0.00064024504 0.0006669703 0.0005728508 0.0006936956 0.0021566148 0.0008064066 0.00064024504 0.0006495408 0.0009481669 0.0019428125 0.0008889064 0.0005461255 0.00084358966 0.0004973228 0.00026609094 0.00031605564 0.0005333439 0.0010806314 0.0005008087 0.0005577452 0.0017836228 0.000565879 0.00056006917 0.0008621811 0.00066232245 0.0014083066 0.0010748216 0.0009365472 0.0007413364 0.0009272514 0.0002672529 0.00047059753 0.00034626684 0.00094119506 0.0008040827 0.0007239068 0.0015686584 0.0010794695 0.00038344983 0.0008017588 0.0008191883 0.0015767922 0.0014234122 0.00038228786 0.001092251 0.0010039414 0.0010446103 0.0004496821 0.00077619543 0.0005333439 0.0008877445 0.0014408418 0.0010655258 0.00027771064 0.001285138 0.0010852793 0.0029990426 0.0024308397 0.0005554213 0.00036950622 0.00067394215 0.00057052687 0.00045781588 0.00026957685 0.00085520936 0.00075527997 0.0005577452 0.00071925897 0.0018835521 0.0007785194 0.00039739348 0.0024842902 0.00067394215 0.0032209787 0.00050429464 0.00023355581 0.00056471705 0.002646966 0.00034859075 0.005893508 0.00039042166 0.0018905239 0.00028468246 0.00025098535 0.0007308786 0.00017429538 0.00017661932 0.0002114784 0.00032535137 0.0003207035 0.00019172492 0.0001545419 0.00029862608 0.00027654867 0.00014873206 0.0002533093 0.00029514017 0.00023704172 0.00016035174 0.0003439429 0.0013525322 0.0004566539 0.00019056295 0.00044038633 0.00041598498 0.00030095002 0.00021961218 0.0003927456 0.00037763998 0.0002416896 0.0002300699 0.00024633747 0.000565879 0.0003544006 0.00017894326 0.00022890794 0.0005786607 0.00020218264 0.0003660203 0.00015918979 0.00054147764 0.00036834425 0.00068439986 0.0004566539 0.0005786607 0.00034161896 0.00030095002 0.00024401353 0.00029862608 0.000491513 0.00038228786 0.00033697108 0.0032070351 0.0010841172 0.00069485756 0.0010469343 0.00078781514 0.00028933035 0.00076689967 0.0011596453 0.0007703856 0.0011468636 0.00031837958 0.00032302743 0.0023913325 0.00030327396 0.00037531604 0.00030675987 0.00113292 0.00079478696 0.00041830892 0.0003578865 0.00040901316 0.00020450658 0.00042528074 0.00043573845 0.00070763926 0.000302112 0.00042760468 0.000414823 0.0003706682 0.00033348516 0.0002719008 0.00025447126 0.00234834 0.0006263014 0.00025795717 0.00039855545 0.00087380083 0.00071112515 0.0003660203 0.00024052763 0.002755029 0.0008726389 0.00025447126 0.0010864412 0.0009841879 0.00027073882 0.00030095002 0.0002719008 0.0019172492 0.00076806167 0.0007029914 0.00072274485 0.0006820759 0.00032999925 0.0007808433 0.00059841416 0.0011863706 0.00044852012 0.00042528074 0.0006065479 0.0008563713 0.0006716182 0.00074598426 0.010909729 0.7079857 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004605208 4.5976423e-05 1.3385541e-05 2.7353062e-05 1.5131481e-05 1.3967521e-05 5.2378205e-06 7.5657404e-06 9.893661e-06 2.3279201e-06 3.4918803e-06 4.07386e-06 4.07386e-06 1.7459402e-06 4.07386e-06 4.07386e-06 0.0032689818 5.8779984e-05 1.9205341e-05 2.3279201e-06 4.132058e-05 1.7459402e-06 1.9205341e-05 4.6558403e-06 4.07386e-06 2.6189102e-05 5.8198e-06 5.8198e-06 1.74594e-05 1.1057621e-05 5.0050283e-05 3.899266e-05 0.0021143334 3.608276e-05 2.5025141e-05 2.2115242e-05 1.2803561e-05 1.629544e-05 1.16396e-05 1.2803561e-05 1.2803561e-05 1.74594e-05 1.45495005e-05 1.687742e-05 1.74594e-05 1.629544e-05 1.74594e-05 1.9787321e-05 0.0020625372 5.8779984e-05 2.5025141e-05 1.3967521e-05 1.8623361e-05 1.3385541e-05 1.687742e-05 1.2803561e-05 2.2115242e-05 1.5713462e-05 1.804138e-05 1.687742e-05 1.5713462e-05 1.0475641e-05 1.2803561e-05 5.0050283e-05 0.0028639238 5.9943945e-05 5.179622e-05 3.5500783e-05 4.7140384e-05 3.1426924e-05 2.9680981e-05 4.3066524e-05 5.4706125e-05 4.5976423e-05 5.2378204e-05 5.6452063e-05 5.8779984e-05 2.9099001e-05 9.719066e-05 1.8623361e-05 0.0060968227 0.00026654685 0.00034162228 8.0895225e-05 0.00012337977 7.332949e-05 0.00044696068 0.00029971972 8.205919e-05 5.0050283e-05 6.6345725e-05 8.3223145e-05 8.5551066e-05 6.4017804e-05 0.00012978155 5.2960182e-05 0.009679492 0.0005296018 0.00046558402 0.00021125875 0.00044987057 0.00025723517 0.00058430794 0.00040913196 0.00017633995 0.0001548067 0.00017284807 0.00014258511 0.00014724095 0.00011755997 0.0003532619 0.0004516165 0.00717174 0.0012215761 0.0004108779 0.00027469458 0.00036664744 0.00024152172 0.0008077883 0.0004399769 0.00010126453 8.787899e-05 8.264116e-05 0.00010883027 0.000112322145 9.195285e-05 0.000118723925 0.0002805144 0.0047640884 0.0002880801 0.00021475063 0.00048828125 0.00055811886 0.00030146565 0.0012163382 0.0006209727 0.000106502346 0.00010941225 0.00015655263 0.00010766631 0.00012337977 0.00010708433 0.00015538867 0.00021707856 0.006788797 0.0007600659 0.0005371676 0.00035966365 0.0010923765 0.0005080686 0.002042168 0.0011697799 0.00020485697 0.00013560135 0.00017284807 0.00014956886 0.00017866788 0.00016586432 0.00016644629 0.0010626955 0.006389559 0.0010947045 0.000758902 0.0040901555 0.0006855725 0.00055811886 0.0008223378 0.00066811306 0.0006442519 0.00044870662 0.0005458973 0.0004516165 0.0007053598 0.0004748957 0.0006000214 0.0013240046 0.006088675 0.0011331151 0.0006349402 0.0009951858 0.00090614293 0.00064076 0.0008851916 0.00080371444 0.0012669705 0.00039225456 0.00044405076 0.00057441427 0.0010679334 0.00043532107 0.0010859747 0.0017156771 0.017863296 0.0044666966 0.0020363482 0.0022307294 0.003406329 0.004346809 0.0023116246 0.0036606544 0.009692295 0.0009067249 0.0012780281 0.0016819224 0.006147455 0.0021463423 0.004697743 0.008216394 0.017542042 0.00792715 0.0039004302 0.004432942 0.005101055 0.0057604383 0.005517753 0.006374427 0.009739436 0.0016819224 0.0028697436 0.002656157 0.006089839 0.0033312538 0.0049165674 0.008702347 0.0007810172 0.0002566532 0.0003032116 0.00034278625 0.00029680983 0.00026189102 0.00040389414 0.0003148512 0.00029913773 0.00019147144 0.00026072704 0.00024792348 0.00018448767 0.00022930013 0.00019379935 0.00019961916 886.0 16.934538 15004.0 0.037056785 0.0011330312 0.0016662223 0.001866169 0.004398827 0.004132231 0.0016662223 0.006264996 0.003798987 0.0017328713 0.0009330845 0.0021327646 0.0041988804 0.006264996 0.011730205 0.008064516 0.03199147 0.019994669 0.013129832 0.008397761 0.012463343 0.011663556 0.009264196 0.007597974 0.012130098 0.011330312 0.011663556 0.007464676 0.008397761 0.008397761 0.008930951 0.011197014 0.011663556 0.014129565 0.0026659558 0.014062917 0.010463877 0.008864303 0.0077979206 0.0045987736 0.0043321783 0.006065049 0.0014662757 0.0021327646 0.0067981873 0.0070647825 0.0043321783 0.0046654227 0.010063983 0.0020661156 0.0072647296 0.012263397 0.013663023 0.003998934 0.007398027 0.0077979206 0.0033990936 0.0021327646 0.002532658 0.001999467 0.0032657958 0.0017995201 0.0017995201 0.009797388 0.005665156 0.031058384 0.0077312714 0.028525727 0.018195149 0.053519063 0.007531325 0.009997334 0.012330045 0.03245801 0.004532125 0.0029992003 0.020661157 0.0149960015 0.02525993 0.043121833 0.017195415 0.0025993069 0.042521995 0.028592376 0.04765396 0.011663556 0.006065049 0.0057318048 0.00959744 0.0066648894 0.0022660624 0.00119968 0.0021327646 0.0011330312 0.0011330312 0.001866169 5.984846 3.0 27.0 0.0 3.0 860608.0 1306624.0 1.0 4.0 98.0 1.0 1.0 1.0 0.0 0.0 1402999800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 11.0 0.0 6.0 0.0 6.0 0.0 110592.0 1024.0 4096.0 7.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 -663552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110080.0 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 -2.8763824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9438353 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.541446 0.0 0.0 0.0 0.0 -0.8207237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6820245 0.0 4.390246 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25066.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31257.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1092.0 0.0 0.0 0.0 20.0 0.0 0.0 0.0 0.0 -1114784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -109791.0 0.0 3872.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 169.0 149872.0 120.0 147600.0 3872.0 1273856.0 0.0 0.0 22976.0 837632.0 7744.0 1277952.0 56.0 119280.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 141816.0 0.0 0.0 412.0 118784.0 0.0 0.0 0.0 0.0