Input: 0.22474141 0.0033556463 0.0061760577 0.003374762 0.0029420557 0.0027700157 0.0028725446 0.0028673313 0.0033382687 0.0027561134 0.0023685894 0.0029073001 0.002853429 0.002465905 0.0028655934 0.003195771 0.0031071443 0.0028291 0.0024589538 0.0025163004 0.0030845532 0.002309505 0.002643158 0.033671156 0.0025701714 0.0024520026 0.002502398 0.002853429 0.0027039803 0.002316456 0.0025632202 0.002705718 0.008058069 0.008509891 0.0026223047 0.0025493181 0.0027978201 0.002712669 0.0030133044 0.0030654378 0.0025632202 0.0026779135 0.002573647 0.0024381003 0.0028986111 0.0026796514 0.0025006603 0.0077470075 0.0029316288 0.0029073001 0.0028968733 0.0028360512 0.002551056 0.002815198 0.002712669 0.0026622736 0.0030411088 0.0028412645 0.0025840737 0.0025927625 0.0027022425 0.0030202556 0.0026952913 0.0027717536 0.0034095175 0.002768278 0.0028204112 0.0029576956 0.0026344692 0.0032774464 0.0025701714 0.002518038 0.003842224 0.0027456868 0.0025371537 0.0026014515 0.0027265714 0.0026101402 0.0030046154 0.0026866025 0.0028951357 0.0025614826 0.0026987668 0.002915989 0.003272233 0.0026831268 0.0029490066 0.0023772782 0.0028655934 0.002759589 0.0028012956 0.0024937093 0.0027074558 0.0027005046 0.0027700157 0.0028447402 0.0026483713 0.01863244 0.0030602245 0.0027891314 0.0026483713 0.003133211 0.0034512242 0.002728309 0.0040316414 0.0030219932 0.00304806 0.0025475803 0.003101931 0.0028725446 0.0028464778 0.0029038244 0.0029802867 0.0027821802 0.003249642 0.0029055623 0.0033156776 0.0026883401 0.0026205669 0.0026848647 0.0025719092 0.0025632202 0.002611878 0.002712669 0.002558007 0.002752638 0.0030428467 0.0026379446 0.002667487 0.0029055623 0.0030185177 0.0026501091 0.003025469 0.003419944 0.002566696 0.0026709624 0.0026796514 0.0029455312 0.002815198 0.0030654378 0.0023963938 0.0031853444 0.0026344692 0.0024311494 0.0026483713 0.002488496 0.0025632202 0.0026535846 0.0026640114 0.002665749 0.0026014515 0.0025232513 0.0025163004 0.0025597448 0.0026153536 0.002573647 0.0025249892 0.002504136 0.0025945003 0.0027960823 0.0029663844 0.00292294 0.0026153536 0.00281346 0.0025788604 0.002518038 0.0027300469 0.0026692247 0.0026587981 0.0026379446 0.0026692247 0.003101931 0.0026779135 0.00303242 0.0024346248 0.0026170914 0.002674438 0.0028638556 0.0026084024 0.0026535846 0.0026257802 0.0025945003 0.002822149 0.0024693804 0.0026466337 0.0027561134 0.0026761757 0.0025145626 0.0027091936 0.0026501091 0.0026987668 0.002822149 0.0028933978 0.0025910246 0.0026727002 0.0028360512 0.0027578513 0.0028690689 0.0026587981 0.0031940332 0.0026831268 0.0030915043 0.002728309 0.0026587981 0.0029090378 0.0024815449 0.002511087 0.0027717536 0.002962909 0.0028464778 0.0026553224 0.0027230957 0.0027613267 0.0025441048 0.0026240426 0.0025997136 0.0028412645 0.0025719092 0.0026535846 0.0027578513 0.0029837622 0.0023859672 0.002790869 0.0027109312 0.0028725446 0.0026570603 0.0025719092 0.0025388915 0.0026170914 0.0025858113 0.002915989 0.0028412645 0.0034633884 0.0027821802 0.0024520026 0.0027300469 0.002674438 0.002862118 0.0026952913 0.0023720649 0.0029559578 0.002518038 0.0025753847 0.0026866025 0.0023859672 0.0025545314 0.0026952913 0.0033764997 0.00289166 0.002580598 0.0025145626 0.0025875492 0.0035537528 0.002604927 0.0029959267 0.006911137 0.014285714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016819545 0.0 0.0 1.7438616e-06 1.7438617e-05 1.8310548e-05 4.359654e-05 2.2670201e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016462053 7.847378e-06 0.0 4.359654e-06 0.0 1.7438616e-06 0.0 4.359654e-06 8.719308e-06 8.719308e-07 0.0 1.7438616e-06 5.231585e-06 2.6157925e-06 5.231585e-06 9.678432e-05 0.059944373 0.029176548 1.9182478e-05 4.359654e-06 2.7029855e-05 1.046317e-05 3.226144e-05 1.4822824e-05 1.3950893e-05 1.7438616e-06 9.591239e-06 6.1035157e-06 1.1335101e-05 2.6157925e-06 1.7438616e-06 9.591239e-06 0.0014857701 1.8310548e-05 0.013404192 4.272461e-05 3.226144e-05 3.226144e-05 0.013480922 3.0517578e-05 1.1335101e-05 2.6157925e-06 2.6157925e-06 6.9754465e-06 8.719308e-07 0.0 1.7438616e-06 1.8310548e-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 0.0027186803 0.0001020159 8.1961494e-05 5.231585e-05 0.00014125279 3.40053e-05 4.010882e-05 4.185268e-05 2.8773717e-05 1.3950893e-05 2.005441e-05 2.2670201e-05 2.8773717e-05 3.6621095e-05 3.5749163e-05 0.00017264229 0.0075683594 0.001663644 0.0017691476 0.00017177037 0.00054757256 0.00042811802 0.002934919 0.0006112235 4.446847e-05 3.8364957e-05 3.4877234e-05 4.185268e-05 4.8828126e-05 4.010882e-05 2.8773717e-05 9.940011e-05 0.0033691407 0.00015084403 6.975447e-05 0.00017002651 0.00026245118 8.893694e-05 8.1961494e-05 0.00014648438 8.370536e-05 5.9291295e-05 0.00013514927 6.713867e-05 8.283342e-05 8.719308e-05 0.0001273019 0.00037493024 0.0049804687 0.0003086635 0.00022583008 0.0002293178 0.0006260463 0.00039411272 0.00078125 0.0004333496 9.765625e-05 7.324219e-05 9.852818e-05 8.021764e-05 7.93457e-05 9.765625e-05 0.00011247907 0.00031040737 0.0049857004 0.000314767 0.00019967215 0.000251988 0.00038103375 0.00020228795 0.0002659389 0.00026157923 0.0001979283 0.00018484933 0.0002179827 0.00017961774 0.00018920898 0.0002406529 0.00021711078 0.00063825335 0.0051592146 0.00068620953 0.0002511161 0.0002798898 0.0004699707 0.00034964425 0.00050048827 0.0003792899 0.00024762834 0.00021362305 0.0002092634 0.00025896344 0.00031563896 0.00027901787 0.0002685547 0.00084577285 0.0040021623 0.00027553012 0.0006687709 0.0002859933 0.00025373185 0.00040283203 0.00032958985 0.00037144253 0.000541469 0.00038277762 0.0003819057 0.00036446707 0.00044032506 0.0004813058 0.00047345844 0.001058524 0.006452288 0.0009905134 0.0013889858 0.0007019043 0.0015040806 0.0011936732 0.0014325823 0.0011561803 0.0013584682 0.0006373814 0.00062779017 0.00070364814 0.00082571845 0.0007298061 0.000906808 0.0026044573 0.0041486467 0.000794329 0.0014003209 0.0015267509 0.001839774 0.0011256627 0.0028590611 0.0013279506 0.001763916 0.00068359374 0.0011936732 0.00064348493 0.0017177036 0.0013532366 0.0015232632 0.002884347 0.14921527 0.0388637 0.039927457 0.040725272 0.039603096 0.039993722 0.040610176 0.039794922 0.040675573 0.039276995 0.04075143 0.040468052 0.040614538 0.040126257 0.04000593 0.039347623 10822.0 9.68176 104776.0 0.037317708 0.03598152 0.0072631137 0.00805528 0.0077021457 0.008112545 0.010202718 0.009639612 0.008312972 0.008599297 0.007921661 0.0076926015 0.0087138275 0.008685195 0.0081793545 0.03645873 0.009744598 0.008608841 0.008809269 0.008608841 0.00794075 0.008589753 0.008074368 0.008427503 0.0078834845 0.007788043 0.007969382 0.0085229445 0.00828434 0.008255707 0.008828358 0.009401008 0.009009697 0.008542033 0.008141178 0.008771093 0.008293884 0.008647018 0.008370237 0.008465679 0.0090574175 0.009000152 0.008685195 0.008799725 0.008837902 0.008312972 0.008704283 0.008933344 0.009343742 0.008914256 0.008246163 0.009849584 0.009620524 0.008360693 0.008885623 0.0085134 0.008675651 0.008981064 0.008647018 0.008207986 0.009505994 0.0076926015 0.008990608 0.009706422 0.008456135 0.09531763 0.009028785 0.009257846 0.008589753 0.00995457 0.009334199 0.008647018 0.009114683 0.010135909 0.008379782 0.0082270745 0.009152859 0.008752004 0.008752004 0.009229213 0.008160266 0.008704283 0.009830495 0.008732916 0.009477361 0.008332061 0.008437047 0.0078071314 0.007492174 0.008637474 0.007978926 0.008198442 0.007912117 0.008360693 0.008551577 0.0077689546 6.293197 1.0 9.0 0.0 37.0 575448.0 569344.0 0.0 0.0 60.0 0.0 1.0 1.0 0.0 0.0 1111816600.0 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 3.0 4.0 6.0 0.0 4.0 0.0 4.0 0.0 548864.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -548864.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.950551 0.0 5.660788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -546972.0 0.0 8700.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 549732.0 8700.0 557056.0 0.0 0.0 6104.0 569344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 308.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.25440392 0.016526442 0.0056903544 0.0064603365 0.0076528694 0.004291241 0.0035963792 0.0044320915 0.0078125 0.0026198167 0.0029109074 0.002704327 0.0040658806 0.0041410006 0.0024883563 0.0032677283 0.0069298376 0.0038874699 0.0028921275 0.0030329777 0.0031832182 0.0022254358 0.0021597056 0.0024601864 0.0029860276 0.0028451772 0.003126878 0.0025165265 0.002779447 0.0022442157 0.0025353064 0.0029484676 0.0040377104 0.0026010366 0.0024320162 0.0028827374 0.00390625 0.0026667668 0.0019719051 0.0021972656 0.0028639573 0.0025071364 0.002732497 0.0023005558 0.0023944562 0.0023005558 0.0026667668 0.0021690954 0.0031832182 0.0029015173 0.0036808895 0.0029578577 0.0035682092 0.0025446964 0.0021784855 0.0021972656 0.003079928 0.0018404447 0.0024695764 0.0022160457 0.0033428485 0.002413236 0.0021221454 0.0032395583 0.011183519 0.004338191 0.0023475061 0.0023850661 0.0029766376 0.002751277 0.0029954177 0.002741887 0.0033804087 0.0028170072 0.0021972656 0.0021503156 0.002694937 0.0028076172 0.002281776 0.0026855469 0.0028921275 0.0030611479 0.0026667668 0.0028545673 0.0033616286 0.0024320162 0.003164438 0.0025446964 0.0033052885 0.0022629958 0.0021221454 0.0018028846 0.002694937 0.002000075 0.0026479869 0.0020751953 0.0025259166 0.0038593 0.0033522386 0.0032583384 0.003164438 0.0049015926 0.0034743089 0.0025071364 0.0041316105 0.0038405198 0.0020845854 0.0026198167 0.006263146 0.002788837 0.0044884314 0.003126878 0.0043194112 0.0030235876 0.0034649188 0.0028545673 0.005793645 0.002732497 0.0022911658 0.0029015173 0.0061035156 0.0028451772 0.0021784855 0.003117488 0.002281776 0.0017559344 0.001934345 0.0029860276 0.005089393 0.0018498347 0.0022160457 0.0022629958 0.0027700572 0.0020470251 0.0025916467 0.0028076172 0.0064227763 0.0021033655 0.0028357874 0.0020282452 0.0023475061 0.0018967849 0.0022629958 0.0027606671 0.0023475061 0.0025259166 0.002375676 0.0020470251 0.0024883563 0.002281776 0.0020751953 0.0018310547 0.0026761568 0.0021127553 0.0021033655 0.001953125 0.0028263973 0.0021690954 0.002319336 0.0017371544 0.0024507963 0.0021597056 0.0021784855 0.0025165265 0.002788837 0.0022066557 0.0018122747 0.0021784855 0.0023944562 0.0022066557 0.0031738281 0.0025165265 0.0025822567 0.002319336 0.0017183744 0.0029672475 0.002366286 0.0025353064 0.002328726 0.0020845854 0.0022536058 0.0024226261 0.0020376353 0.0023005558 0.0029766376 0.0019061749 0.002704327 0.0025540865 0.0021784855 0.0017747146 0.0020939754 0.0021221454 0.003483699 0.0020282452 0.0022066557 0.003155048 0.0028545673 0.0018310547 0.0021033655 0.0026292067 0.002281776 0.0019061749 0.002000075 0.0022066557 0.0021503156 0.0018028846 0.0020188552 0.002281776 0.0025259166 0.0022536058 0.0018780048 0.0027606671 0.0024226261 0.0026292067 0.0021221454 0.0026573767 0.002319336 0.0022911658 0.002788837 0.002366286 0.0027606671 0.001990685 0.001558744 0.001953125 0.0024414062 0.0026198167 0.002338116 0.0024320162 0.0025259166 0.0021503156 0.0020188552 0.0022629958 0.0033897986 0.0023944562 0.002000075 0.0024695764 0.0026104266 0.002779447 0.002356896 0.0022629958 0.0037278396 0.0025071364 0.0024883563 0.0020564152 0.002328726 0.0028357874 0.002356896 0.0019249549 0.0035118689 0.0021597056 0.0017089844 0.0020939754 0.0034085787 0.0030611479 0.0035118689 0.022094727 0.03883495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017725084 0.00010429308 9.955249e-05 4.7405945e-05 0.0002512515 0.0001659208 0.00039346935 0.000175402 0.00014695844 4.2665353e-05 9.481189e-06 3.7924758e-05 8.533071e-05 1.8962379e-05 3.3184162e-05 8.059011e-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 0.008059011 2.3702973e-05 9.481189e-06 9.481189e-06 4.7405947e-06 0.0 0.0 0.0002796951 0.00064946146 0.0 4.7405945e-05 8.533071e-05 7.5849515e-05 4.7405947e-06 0.000109033674 0.000350804 0.007997383 8.059011e-05 8.533071e-05 0.00014221785 0.00011377427 0.00010429308 0.0003555446 0.0001801426 0.0002844357 4.7405947e-06 1.8962379e-05 6.6368324e-05 4.2665353e-05 8.059011e-05 5.6887136e-05 9.481189e-05 0.0074000685 0.0002844357 0.00023228914 0.00012325546 0.00020858616 9.00713e-05 0.0005451684 0.0002702139 4.7405945e-05 2.8443568e-05 6.162773e-05 4.2665353e-05 6.162773e-05 7.110892e-05 3.3184162e-05 0.00020858616 0.026585255 0.0014458813 0.00077745755 0.0004408753 0.002351335 0.00064946146 0.00090071297 0.00087701 0.00039346935 0.0006589427 0.0002796951 0.00023702973 0.0003555446 0.00041717233 0.00077745755 0.0016876517 0.055464957 0.0022897073 0.0011519645 0.0014316596 0.0051151016 0.0015501744 0.0030482023 0.0026452518 0.003299454 0.0011614457 0.0011235209 0.0010476714 0.0014885467 0.00087701 0.0014648438 0.004219129 0.011121435 0.000526206 0.00029865745 0.0002512515 0.0015122497 0.00027495448 0.00076797634 0.0007537546 0.0010002655 0.00022280795 0.00022754855 0.00022754855 0.0002796951 0.0002654733 0.0008059011 0.0008817506 0.03897243 0.0034938182 0.0023560754 0.0024366656 0.0034321905 0.0017682418 0.0040484676 0.00470267 0.0018867566 0.0008106417 0.001028709 0.00059257436 0.0009955249 0.0008201229 0.0014411408 0.008883874 0.0341228 0.0034748558 0.0026452518 0.003180939 0.0038683251 0.002303929 0.0071440763 0.0050108084 0.0024840715 0.0007205704 0.0012183328 0.0010808556 0.0010855962 0.0011946298 0.0014932873 0.0066415733 0.018758534 0.0016449863 0.0014126973 0.0015738774 0.0028680598 0.0019673468 0.0052573197 0.0030102776 0.0021996358 0.00096234074 0.0010713744 0.0010713744 0.0011282616 0.0012135922 0.0015264715 0.002877541 0.0032947133 0.00047880007 0.00045035649 0.00034132283 0.00048828125 0.00041243175 0.0008485665 0.00057361193 0.00031761985 0.00037924756 0.0003555446 0.0003318416 0.00034132283 0.00032710104 0.00033658222 0.00043139412 0.016848074 0.0032662698 0.0027874697 0.0030007963 0.0027542855 0.002583624 0.0036929233 0.0032662698 0.0025788834 0.0021143053 0.002223339 0.002303929 0.0024935529 0.0023750379 0.00223282 0.003730848 0.042219736 0.032013237 0.030643204 0.031354293 0.030188106 0.030387212 0.029761454 0.029225767 0.029391687 0.029093029 0.030870752 0.029837303 0.028841779 0.029955817 0.029111993 0.032250267 467.0 9.5653105 4467.0 0.02708753 0.0038056863 0.0026863667 0.005820461 0.004253414 0.005820461 0.0049250056 0.006044325 0.005820461 0.006268189 0.0067159166 0.0035818222 0.00402955 0.005596597 0.013879561 0.0029102305 0.008730692 0.012312514 0.032460265 0.008954556 0.0064920527 0.0051488695 0.007835236 0.0076113725 0.0064920527 0.005596597 0.0071636443 0.0035818222 0.0029102305 0.0038056863 0.0033579583 0.0035818222 0.0038056863 0.009626147 0.0064920527 0.010969331 0.010297739 0.010073875 0.008282964 0.006268189 0.006268189 0.011417058 0.0064920527 0.0051488695 0.014327289 0.011864786 0.008506828 0.010521603 0.011193194 0.004253414 0.008954556 0.021490933 0.01208865 0.007387508 0.013879561 0.007835236 0.0080591 0.004477278 0.006044325 0.0031340944 0.010297739 0.0024625028 0.0047011417 0.0038056863 0.00402955 0.029102305 0.012984105 0.018580703 0.019923886 0.05417506 0.0161182 0.0127602415 0.010521603 0.03268413 0.006044325 0.007387508 0.02820685 0.019700022 0.033131856 0.022610253 0.0094022835 0.004477278 0.026863666 0.019700022 0.027982986 0.013207969 0.0071636443 0.008954556 0.011640922 0.013431833 0.0067159166 0.0047011417 0.004253414 0.0035818222 0.002014775 0.002238639 6.193326 2.0 0.0 0.0 1.0 106496.0 118784.0 0.0 0.0 6.0 0.0 1.0 0.0 0.0 0.0 1042209200.0 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 98304.0 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 -98304.0 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 -7.111083 0.0 3.6364663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -95508.0 0.0 1848.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 99348.0 1848.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 72.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.06036124 0.0056858873 0.0040322347 0.0034266715 0.0033742671 0.0034033807 0.0044427365 0.003461608 0.0036129986 0.0036275554 0.0034819874 0.003560594 0.0036624917 0.0040555256 0.002914272 0.0030219925 0.003656669 0.0035402146 0.003688694 0.003406292 0.003493633 0.0032578127 0.0031268015 0.0030889537 0.0034354057 0.003933248 0.002832754 0.003470342 0.0039652735 0.0037236304 0.003301483 0.002937563 0.0033538875 0.0036421122 0.0034586964 0.0033451535 0.0028385767 0.0034965442 0.002955031 0.003042372 0.0030365493 0.0032694582 0.003968185 0.0033684443 0.003083131 0.0038138826 0.0029666766 0.0029346517 0.0037178076 0.0033393307 0.004445648 0.0036683145 0.003953628 0.0037876803 0.0038808438 0.0030307265 0.0033917353 0.004020589 0.0029317401 0.0035052784 0.003840085 0.0034121147 0.0028385767 0.0037352757 0.0058867713 0.0045184316 0.0034324944 0.0029957902 0.0061691734 0.011686202 0.0032316104 0.004026412 0.0036828713 0.0043408386 0.003019081 0.0029666766 0.0031209786 0.004946402 0.0049085543 0.0029579424 0.005196779 0.004640709 0.003147181 0.0045329886 0.0030511061 0.0041050185 0.0036712259 0.0034208489 0.0040293233 0.0029492085 0.004891086 0.0029812334 0.0032985718 0.003292749 0.0035285691 0.0031413583 0.0032141423 0.0035576827 0.0034674306 0.0035169236 0.0035227465 0.0034179376 0.003566417 0.0038488188 0.0034295828 0.0037789461 0.0037265418 0.0033131286 0.003656669 0.0031093333 0.003656669 0.0037003395 0.0039186915 0.0032461672 0.0031442696 0.0030889537 0.0042855227 0.0038429962 0.0037643893 0.003365533 0.0031005992 0.002858956 0.0029724992 0.0030249038 0.0037818577 0.003470342 0.0028764245 0.0040962845 0.0050308313 0.003639201 0.003994387 0.0039652735 0.0035693282 0.0054267766 0.0029899674 0.0030394606 0.0036916053 0.004381598 0.003147181 0.0065389164 0.0033422422 0.004116664 0.0040089437 0.003310217 0.0040322347 0.00318794 0.0030976878 0.003147181 0.0031268015 0.0034237602 0.0034528738 0.0037818577 0.0033626216 0.0029113607 0.0029433856 0.0034179376 0.003455785 0.0029433856 0.004125398 0.0035081897 0.0047891885 0.0034266715 0.0028356654 0.002992879 0.004247675 0.00423603 0.0032752808 0.0037498325 0.0029957902 0.003397558 0.0033538875 0.0032898376 0.0031209786 0.0027978176 0.0036741372 0.0036624917 0.003511101 0.0027250336 0.0046057724 0.0032752808 0.0033538875 0.003211231 0.003840085 0.002978322 0.0036945168 0.0029724992 0.0030511061 0.0035460372 0.0031442696 0.0037178076 0.0035576827 0.002882247 0.0039594504 0.004891086 0.0033305967 0.0037381873 0.004294257 0.0033480648 0.010323685 0.0038226165 0.0030336378 0.0030481946 0.0033043944 0.0038313507 0.005715001 0.0033567988 0.0037585667 0.0030802197 0.0038691985 0.0031908513 0.0027162996 0.005423865 0.002987056 0.0036479349 0.00355186 0.0038313507 0.0030685742 0.004527166 0.004326282 0.0029084494 0.0030976878 0.0034994555 0.0030860424 0.0029084494 0.004070082 0.003310217 0.0034499625 0.0035198352 0.003857553 0.004157423 0.003956539 0.0035955305 0.0058372784 0.0030627514 0.0028618677 0.0034499625 0.0037352757 0.0043059024 0.0030802197 0.002905538 0.0035314804 0.003211231 0.0035314804 0.0041079298 0.0050075403 0.004227296 0.0037178076 0.0038371733 0.0040002097 0.0043757753 0.0038691985 0.0037643893 0.0041603344 0.0030802197 0.0037032508 0.0070716953 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.0533937 0.05185576 0.04974621 0.05546232 0.050952293 0.052857175 0.05053711 0.051860146 0.053867362 0.05097276 0.05365246 0.052039962 0.053389315 0.05409542 0.0541232 0.055506174 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343482.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -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 -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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 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 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.014196935 0.004160652 0.0041704057 0.003951766 0.0040724645 0.0038757706 0.003845291 0.004220798 0.0041769077 0.0039107203 0.0038509804 0.004111072 0.0039131586 0.004073684 0.0038005877 0.004378885 0.003874145 0.0038213138 0.0037920536 0.0038001814 0.0038656108 0.00392088 0.0038253777 0.0038550445 0.0038656108 0.0038294417 0.0037058983 0.003756291 0.003874145 0.0038330993 0.0037823 0.0038964965 0.0041350494 0.0038217201 0.003883492 0.003868049 0.003958268 0.0038859304 0.0038148116 0.0038054646 0.0038599211 0.0037688892 0.0037339393 0.0038985286 0.0038530126 0.00390625 0.0038274098 0.0038424463 0.003911127 0.0037416609 0.003805871 0.0040082545 0.0038326927 0.0037229666 0.0037859576 0.0038046518 0.003911533 0.0039054372 0.0038688618 0.0038794281 0.003876177 0.0038477294 0.0037916473 0.0039058437 0.004200885 0.003864798 0.0038249714 0.003805058 0.0039501404 0.003944451 0.0037770171 0.0039054372 0.0038274098 0.003826597 0.0038530126 0.0038119669 0.0038973093 0.0037847385 0.0038270033 0.0038444782 0.004067588 0.0038436654 0.0039021862 0.003909908 0.0038253777 0.0038274098 0.003845291 0.003922506 0.0038005877 0.00375751 0.0038261905 0.003870081 0.003847323 0.003845291 0.0038806472 0.0038810535 0.0037705146 0.0039708666 0.0038355377 0.003870081 0.0038879623 0.004122045 0.003796524 0.0038233458 0.0039472957 0.0039854967 0.0038095284 0.0037424737 0.003959081 0.0038757706 0.0039428254 0.004026949 0.0038591083 0.0037920536 0.004134643 0.003963958 0.004161465 0.004033451 0.0038257842 0.0038619533 0.003876177 0.0039017797 0.0038314736 0.0038412272 0.003772953 0.0037993686 0.0039127525 0.0038993412 0.004072871 0.003819282 0.0038351312 0.003874145 0.0038335056 0.004075716 0.0038704874 0.0037753915 0.003884711 0.0038977158 0.003907469 0.0042614373 0.0038611405 0.0039302274 0.0038448847 0.0037566973 0.0038408206 0.0040651495 0.0037867704 0.003759542 0.0039058437 0.0038517932 0.003827816 0.0038103412 0.0037847385 0.0037603548 0.003766857 0.003733533 0.003811154 0.003758323 0.0038582957 0.0037766106 0.0038639852 0.0039029988 0.0039416063 0.0038326927 0.0037896151 0.003889588 0.0037380033 0.0037896151 0.0037774234 0.003766857 0.0037091493 0.0037327202 0.0037473503 0.003748163 0.0037416609 0.0037721402 0.0038123732 0.003796524 0.003794492 0.0038119669 0.0037969302 0.003877396 0.0038603276 0.0038562636 0.003813186 0.00381725 0.0038237523 0.003847323 0.0037989623 0.0038107475 0.003843259 0.003887556 0.0039810264 0.0038635787 0.0038456975 0.0037908345 0.003851387 0.003868049 0.0038428528 0.003781081 0.0037709211 0.0037827066 0.0038404143 0.0038521998 0.004073684 0.0037461312 0.0038030262 0.0038355377 0.0037554782 0.0037835194 0.0038005877 0.0037558845 0.0037363777 0.0036782634 0.0037879897 0.0037936792 0.003736784 0.0037774234 0.003805871 0.0038688618 0.0038546382 0.003826597 0.0039379485 0.0039005606 0.0039013734 0.0037827066 0.0039180354 0.0037778297 0.0037627933 0.0037591357 0.0037380033 0.0037985558 0.0039997203 0.0039017797 0.0038115603 0.0038757706 0.0037908345 0.0038448847 0.0038343184 0.0038838985 0.0038891814 0.003858702 0.0037900216 0.0038652043 0.003797743 0.003796524 0.0038302545 0.0038782088 0.003898935 0.0038904008 0.0037745787 0.0038960902 0.0038412272 0.0038778025 0.00392088 0.0047901548 0.00041631973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00080092764 7.3181204e-06 2.4393735e-06 8.944369e-06 6.0984337e-07 8.131245e-07 1.4229678e-06 8.131245e-07 1.0164056e-06 2.0328112e-07 8.131245e-07 4.0656224e-07 3.862341e-06 6.0984337e-07 6.0984337e-07 1.8295301e-06 0.003445005 4.0656225e-05 3.5167635e-05 2.90692e-05 1.0164056e-05 1.2400148e-05 2.9882325e-05 1.5246084e-05 2.6426545e-05 1.0977181e-05 1.6059208e-05 1.3619835e-05 2.1141237e-05 1.1383742e-05 5.082028e-06 2.4597015e-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 0.0019244624 1.9311707e-05 8.6597756e-05 2.7036389e-05 6.7692614e-05 4.4925127e-05 7.135167e-05 3.8623413e-05 3.5167635e-05 0.00012969335 8.537807e-06 5.2853093e-06 8.741088e-06 4.4721846e-06 1.5855927e-05 1.0164056e-05 0.00030492168 1.5042803e-05 1.2603429e-05 2.4597015e-05 9.757494e-06 6.3017146e-06 1.7888739e-05 5.8951523e-06 6.708277e-06 2.2360923e-06 3.455779e-06 2.0328112e-06 3.0492167e-06 1.0164056e-06 0.0 8.131245e-07 0.00271299 2.9882325e-05 0.000290692 8.232885e-05 7.399433e-05 6.8302455e-05 0.0007291694 0.00038684398 3.435451e-05 7.724682e-06 7.5010736e-05 1.280671e-05 1.0977181e-05 1.3619835e-05 1.3823116e-05 3.6997164e-05 0.0002012483 3.455779e-06 4.0656225e-05 4.0656223e-06 6.708277e-06 5.4885904e-06 9.106994e-05 5.1633404e-05 2.6426546e-06 1.0164056e-06 1.2196867e-06 1.0164056e-06 1.4229678e-06 2.4393735e-06 6.0984337e-07 1.626249e-06 0.00062732556 1.4839522e-05 2.7442951e-05 0.00012583101 0.00013375898 8.61912e-05 0.00036631257 0.00018295301 1.7482176e-05 8.944369e-06 1.6669052e-05 1.1383742e-05 1.3009992e-05 9.757494e-06 1.1790305e-05 1.1587023e-05 6.0577775e-05 0.0 7.440089e-05 3.781029e-05 5.6918714e-05 2.0328112e-05 0.00010529962 6.0984337e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00037159788 2.90692e-05 3.293154e-05 0.00022320267 6.383027e-05 4.4315286e-05 0.00014900506 8.029604e-05 2.8256076e-05 1.809202e-05 8.415838e-05 2.0734675e-05 3.089873e-05 2.1344518e-05 1.7685457e-05 3.3541386e-05 1.7482176e-05 8.131245e-06 4.0859504e-05 0.00012867695 5.9154805e-05 2.7036389e-05 5.4276057e-05 3.1915137e-05 7.5214016e-06 6.911558e-06 5.082028e-06 7.3181204e-06 6.3017146e-06 6.0984335e-06 4.4721846e-06 5.082028e-06 0.0006901394 0.00010611275 0.00010164056 0.0001195293 0.00022035673 0.00020185816 0.00014941163 0.00013945084 0.00035350586 3.4964352e-05 6.118762e-05 5.0007155e-05 0.00017909067 4.3908723e-05 0.00012013914 0.00034293524 0.0016921121 0.0003768832 0.00019555644 0.0003187448 0.00062204024 0.0006137057 0.00034822055 0.00038399803 0.0010424256 0.00014290663 0.000202468 0.00017360208 0.0006531422 0.00015571334 0.00034903368 0.0010558421 0.06111037 0.060669657 0.060941648 0.06049565 0.060642418 0.060742024 0.060269803 0.06111098 0.0609634 0.060758896 0.06029013 0.060974173 0.060619447 0.060555007 0.06086704 0.061095938 11724.0 5.988144 70205.0 0.012990528 0.009928068 0.010654512 0.009885335 0.010027776 0.009714408 0.010198704 0.00975714 0.009301332 0.0099708 0.009130403 0.01011324 0.009856848 0.010341144 0.0098426035 0.009928068 0.010170216 0.009856848 0.010626024 0.010796952 0.010084752 0.010497828 0.009657431 0.009443772 0.010725732 0.010725732 0.010526316 0.00918738 0.010440852 0.00982836 0.009429527 0.009913824 0.009628944 0.011138808 0.009643188 0.01046934 0.011295492 0.010640268 0.0098426035 0.010768464 0.009486504 0.010697244 0.009372552 0.009928068 0.009942312 0.00932982 0.0107827075 0.010070507 0.011452176 0.00975714 0.010683 0.011210028 0.010811196 0.009885335 0.010583292 0.010269924 0.010198704 0.009458016 0.010455096 0.009956555 0.01011324 0.0096146995 0.009657431 0.009700164 0.009415284 0.011979204 0.010227192 0.0110818315 0.0117513 0.016936116 0.010084752 0.0102556795 0.01046934 0.013360872 0.009101916 0.009657431 0.012406523 0.010355388 0.012634427 0.012862332 0.011210028 0.00982836 0.013688483 0.012420768 0.013090236 0.010569048 0.010512072 0.00968592 0.0097286515 0.009771383 0.009500748 0.009158892 0.009301332 0.009059184 0.0096146995 0.009885335 6.5762787 1.0 0.0 0.0 44.0 2460672.0 2482176.0 1.0 0.0 152.0 1.0 1.0 0.0 0.0 0.0 1381729800.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 3.0 11.0 0.0 6.0 3.0 5.0 1.0 26112.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -26112.0 -4608.0 2422784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7709625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1759279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3918133 -5.3535028 7.9940944 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5038.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26060.0 -4216.0 2422456.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -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 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 41616.0 2422456.0 49152.0 0.0 0.0 0.0 0.0 2128.0 2473984.0 28.0 4128.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 4952.0 0.0 0.0 656.0 40960.0 0.0 0.0 0.0 0.0


Input: 0.6105538 0.0062478 0.0037252142 0.0019066057 0.0038425438 0.0013786226 0.00087997183 0.006013141 0.0030799014 0.0014959521 0.0023465916 0.00079197466 0.00064531266 0.0005866479 0.00076264224 0.0013786226 0.001789276 0.0004986507 0.00043998592 0.00029332394 0.00043998592 0.00026399156 0.0004986507 0.00026399156 0.00029332394 0.00017599437 0.00023465916 0.00014666197 0.00014666197 0.00014666197 0.00026399156 0.00038132112 0.011234307 0.00020532677 0.0005279831 0.00023465916 0.0008506394 0.00032265633 0.001261293 0.00041065353 0.00079197466 0.00064531266 0.0014666198 0.00023465916 0.0005279831 0.0017599437 0.0030212367 0.0018479408 0.0029332396 0.0013786226 0.0010266338 0.0015252845 0.0005279831 0.00043998592 0.00041065353 0.00064531266 0.0007333099 0.0004986507 0.0012319606 0.0012906253 8.7997185e-05 0.00020532677 8.7997185e-05 0.00041065353 0.00093863666 0.0006159803 0.00067464507 0.0021119325 0.003197231 0.00038132112 0.0012319606 0.00023465916 0.0010852986 0.0012026281 0.0 0.00014666197 0.0013492901 0.001114631 0.00035198874 0.0011439634 0.0027279127 8.7997185e-05 0.00090930425 0.0019066057 0.0019652704 0.0005866479 0.0007039775 0.00043998592 0.00023465916 0.00011732958 8.7997185e-05 0.00017599437 0.00017599437 0.00026399156 5.866479e-05 0.00020532677 0.00076264224 0.0060424735 0.000967969 0.0032558958 0.0035198873 0.010061012 0.0025812506 0.0018772733 0.0017012788 0.00563182 0.00029332394 0.0005866479 0.0053971605 0.003109234 0.0048105125 0.008506395 0.004106535 0.00023465916 0.0070397747 0.005719817 0.0062771323 0.0014666198 0.0010559662 0.017247448 0.003871876 0.000967969 0.006101138 0.00079197466 0.00038132112 0.00014666197 0.00017599437 0.009093042 0.0068051154 0.0004986507 0.0011732958 0.00023465916 0.00041065353 0.00017599437 0.00020532677 0.0027865774 0.006599789 0.00014666197 0.0007039775 0.001261293 0.00090930425 0.0 8.7997185e-05 0.0018186085 0.00038132112 0.0 5.866479e-05 2.9332396e-05 2.9332396e-05 2.9332396e-05 8.7997185e-05 5.866479e-05 0.00017599437 0.00076264224 0.00035198874 5.866479e-05 0.0 0.0 2.9332396e-05 2.9332396e-05 0.00090930425 0.00026399156 2.9332396e-05 0.00032265633 2.9332396e-05 0.0 8.7997185e-05 0.005103837 0.0013492901 0.00020532677 0.046961162 0.0 0.00011732958 0.0 8.7997185e-05 2.9332396e-05 0.0011439634 0.0 0.0 0.00029332394 8.7997185e-05 0.0 2.9332396e-05 0.00014666197 0.0017012788 5.866479e-05 2.9332396e-05 0.0005279831 5.866479e-05 5.866479e-05 2.9332396e-05 0.00046931833 0.001407955 0.00020532677 2.9332396e-05 0.00014666197 0.00032265633 5.866479e-05 0.00023465916 0.00014666197 0.00029332394 2.9332396e-05 8.7997185e-05 0.0 0.0006159803 0.00020532677 0.0 5.866479e-05 0.00043998592 8.7997185e-05 8.7997185e-05 0.00017599437 8.7997185e-05 8.7997185e-05 2.9332396e-05 5.866479e-05 8.7997185e-05 8.7997185e-05 8.7997185e-05 0.00017599437 8.7997185e-05 8.7997185e-05 2.9332396e-05 0.00020532677 0.00029332394 8.7997185e-05 8.7997185e-05 0.00011732958 0.00014666197 2.9332396e-05 0.00011732958 0.00011732958 0.00079197466 5.866479e-05 2.9332396e-05 5.866479e-05 5.866479e-05 2.9332396e-05 0.00011732958 0.00023465916 0.002317259 0.00014666197 5.866479e-05 0.00026399156 0.00046931833 0.0 2.9332396e-05 0.00563182 0.0024345887 8.7997185e-05 8.7997185e-05 0.0010852986 0.0005279831 5.866479e-05 0.00067464507 0.0510677 0.1867981 6.1035156e-05 0.0 0.0 7.6293945e-05 0.00010681152 0.00019836426 0.0001373291 3.0517578e-05 3.0517578e-05 0.0 1.5258789e-05 1.5258789e-05 1.5258789e-05 0.0 1.5258789e-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 0.025863647 6.1035156e-05 0.00012207031 1.5258789e-05 3.0517578e-05 0.0 3.0517578e-05 0.0 0.000579834 0.0 0.0 0.0 0.00022888184 0.0 0.0001373291 0.004180908 0.07659912 0.00074768066 0.001159668 0.00035095215 0.0011444092 0.0008392334 0.0016937256 0.001083374 0.0019989014 0.00016784668 0.00015258789 0.00019836426 0.0004272461 0.00021362305 0.00048828125 0.0064849854 0.09718323 0.0010375977 0.0033111572 0.0014343262 0.0012969971 0.0014648438 0.005065918 0.003189087 0.0015411377 0.00045776367 0.00016784668 0.0001373291 0.00088500977 0.00032043457 0.00047302246 0.0070343018 0.022766113 7.6293945e-05 0.0011291504 0.0015716553 0.00093078613 0.0006713867 0.0025634766 0.0014190674 3.0517578e-05 0.0 0.0 0.0 9.1552734e-05 0.0 0.0 0.0 0.10458374 0.0010681152 0.011779785 0.0021820068 0.002166748 0.002029419 0.031173706 0.015853882 0.0014648438 0.00019836426 0.008346558 0.00015258789 0.00033569336 0.00015258789 0.00012207031 0.0058898926 0.07766724 0.001739502 0.0047302246 0.002822876 0.0042419434 0.0035858154 0.011932373 0.005783081 0.0024108887 0.0005950928 0.000289917 0.00033569336 0.0012207031 0.0008239746 0.00062561035 0.0061950684 0.02357483 0.00050354004 0.002029419 0.001953125 0.001739502 0.001083374 0.0028381348 0.0063171387 0.0021514893 0.00018310547 0.012252808 0.00047302246 0.00032043457 0.00010681152 0.00012207031 0.0068511963 0.01828003 0.0004119873 0.0010375977 0.0021514893 0.0019836426 0.0005950928 0.0039367676 0.018081665 0.0067749023 0.00021362305 0.022994995 0.0015716553 0.0001373291 6.1035156e-05 9.1552734e-05 0.015426636 0.00579834 0.00035095215 0.00022888184 0.0012817383 0.0019073486 0.0001373291 0.00062561035 0.014709473 0.006439209 0.00018310547 0.013412476 0.0018157959 0.00019836426 0.00015258789 0.00030517578 0.014953613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77.0 12.857142 990.0 0.008080808 0.001010101 0.006060606 0.001010101 0.019191919 0.0 0.0 0.002020202 0.001010101 0.001010101 0.0 0.0 0.003030303 0.012121212 0.004040404 0.04949495 0.02929293 0.015151516 0.001010101 0.008080808 0.006060606 0.007070707 0.006060606 0.012121212 0.009090909 0.007070707 0.016161617 0.0 0.001010101 0.0 0.0 0.0 0.001010101 0.007070707 0.001010101 0.015151516 0.036363635 0.003030303 0.006060606 0.001010101 0.001010101 0.018181818 0.0 0.0 0.01010101 0.009090909 0.003030303 0.012121212 0.004040404 0.0 0.006060606 0.033333335 0.018181818 0.002020202 0.0 0.0 0.001010101 0.002020202 0.0 0.001010101 0.0 0.0 0.0 0.001010101 0.001010101 0.046464648 0.003030303 0.013131313 0.017171716 0.044444446 0.006060606 0.007070707 0.002020202 0.008080808 0.001010101 0.001010101 0.003030303 0.014141414 0.026262626 0.024242423 0.019191919 0.001010101 0.028282829 0.027272727 0.025252525 0.003030303 0.002020202 0.2 0.016161617 0.0 0.019191919 0.005050505 0.0 0.003030303 0.0 0.013131313 5.127867 0.0 0.0 0.0 1.0 34092.0 32768.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 979651700.0 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 -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 7.0 0.0 4.0 0.0 4.0 0.0 0.0 512.0 4096.0 2.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.54356444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.045468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21000.0 4096.0 0.0 0.0 0.0 0.0 8.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.05673436 0.008306002 0.0061686034 0.0056575765 0.005749831 0.0049630776 0.004196019 0.005425386 0.0050542955 0.005632699 0.0037492588 0.004470709 0.004952712 0.0031739648 0.00432248 0.0046427785 0.005048076 0.0037699903 0.004936127 0.0041576657 0.0043494306 0.0031791476 0.004109984 0.003846696 0.005075027 0.0033470714 0.0031604895 0.002932445 0.0041504097 0.0034351794 0.0037855387 0.0037876118 0.0061686034 0.0038176721 0.0034797518 0.0030267725 0.004896737 0.0041680313 0.0038342574 0.0037223082 0.004727777 0.0038933414 0.0033304861 0.003097259 0.0043711984 0.0037295641 0.003720235 0.0035823716 0.0055238595 0.003935841 0.0031096977 0.0029034212 0.0036746261 0.0030703081 0.0026857422 0.0028733606 0.0041721775 0.0033139011 0.0035263973 0.0033605467 0.004004254 0.0032226834 0.0034994464 0.003454874 0.006597742 0.003943097 0.0036145053 0.0032257931 0.004156629 0.0032268297 0.0035429823 0.0030640888 0.0050014304 0.0037720634 0.0036995036 0.0035875547 0.004128642 0.0031242096 0.00356475 0.0034642033 0.005164171 0.0036310903 0.0036528583 0.0033346326 0.0039316947 0.0033698757 0.0033605467 0.0035346898 0.004646925 0.0036476755 0.0038104162 0.0035087755 0.0041172397 0.0033885338 0.0036829186 0.0037927947 0.0059104986 0.0036279806 0.0033418885 0.002958359 0.0040125465 0.0030506134 0.003264146 0.0030288456 0.0049848454 0.0031635992 0.0031957326 0.0030537231 0.0035761523 0.0028277517 0.0030848202 0.0031936595 0.0045111347 0.00329317 0.0032247566 0.0031428677 0.0038923048 0.003328413 0.00329317 0.0036259075 0.0046210107 0.0032890236 0.0034797518 0.003176038 0.0040363874 0.003194696 0.0034683496 0.0033491445 0.008653252 0.004606499 0.0040084003 0.0035284704 0.004367052 0.0034279234 0.003020553 0.0033916435 0.0045422316 0.003835294 0.0029531762 0.0031905498 0.0037306007 0.0027945817 0.0028433003 0.0029832367 0.005236731 0.0032102447 0.0034921905 0.003027809 0.0036611508 0.0031822573 0.0033004258 0.0032631094 0.004551561 0.0028381175 0.0030371381 0.0027095831 0.0035201777 0.0032226834 0.0029915292 0.003152197 0.0050128326 0.0034061556 0.0032672556 0.0027966548 0.003780356 0.0030101873 0.0030547597 0.0031884767 0.004137971 0.0030018948 0.003123173 0.003013297 0.0036456024 0.0028360444 0.0029148234 0.0030288456 0.00466351 0.0031117708 0.0038435864 0.0028588488 0.0035678598 0.0031480507 0.0029842732 0.0031200633 0.00424992 0.0031428677 0.0033387789 0.0031739648 0.003648712 0.0031843304 0.0033294496 0.003348108 0.006724203 0.0040612654 0.003725418 0.0033367057 0.00411413 0.0032527437 0.003304572 0.0032268297 0.004329736 0.0033315227 0.0031169537 0.0030941493 0.0036518218 0.0029811636 0.003075491 0.0027956183 0.004242664 0.0032682922 0.0030837834 0.0029936023 0.0037160888 0.0030246994 0.0029355546 0.002943847 0.0039793765 0.003113844 0.0027303146 0.0026349504 0.003529507 0.0029407374 0.0035782254 0.002886836 0.004956858 0.0032361588 0.0033978631 0.002980127 0.0038114528 0.003075491 0.0031936595 0.0029065309 0.0044385754 0.00545441 0.0034621302 0.0031356118 0.0038000506 0.0030868934 0.0032444512 0.00318744 0.0046147914 0.0033180474 0.0034165212 0.0030340285 0.0037388932 0.0030817103 0.0033128646 0.0032444512 0.004346321 0.0030340285 0.0031905498 0.0028650681 0.00401151 0.003090003 0.0042250426 0.004519427 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09922384 0.062030397 0.06244396 0.05533145 0.060589943 0.0595589 0.054942276 0.054483056 0.060463853 0.053171806 0.052117925 0.052928444 0.056433067 0.050534256 0.05666657 0.053819906 4016.0 5.703934 22907.0 0.017156327 0.010433492 0.009342123 0.008599991 0.013489326 0.012485267 0.01178679 0.011481207 0.012572576 0.009735015 0.008469027 0.008599991 0.01388222 0.010520802 0.011830444 0.009996944 0.016763436 0.011874099 0.008730955 0.0075522764 0.009822325 0.008512681 0.007814205 0.008338063 0.010258873 0.008469027 0.00969136 0.00886192 0.0115685165 0.008992884 0.009647706 0.009211158 0.018029423 0.010870039 0.010346183 0.009080194 0.010913694 0.008818265 0.01069542 0.008294408 0.014275112 0.011612171 0.009735015 0.0089492295 0.011437552 0.009342123 0.011699481 0.009604051 0.01479897 0.009604051 0.009953289 0.008992884 0.012092373 0.009342123 0.009560396 0.009822325 0.013751255 0.009254813 0.010564457 0.009560396 0.011131968 0.00986598 0.010389837 0.01069542 0.017942114 0.011001004 0.00969136 0.008207099 0.013096433 0.008250753 0.009385778 0.008338063 0.015453791 0.009298468 0.0089492295 0.008730955 0.011350242 0.008032479 0.0099096345 0.00785786 0.013183743 0.008032479 0.008730955 0.008818265 0.011393897 0.009429432 0.008163444 0.00785786 0.010913694 0.008818265 0.012005064 0.008599991 0.011306588 0.008992884 0.009953289 0.008730955 6.554518 0.0 0.0 0.0 14.0 964724.0 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