Input: 0.103682876 0.0064610024 0.005606044 0.0037336436 0.0047601513 0.0028361464 0.0033312691 0.0032022584 0.0037894319 0.003115089 0.005301997 0.0023828652 0.004028625 0.002796397 0.00243168 0.0035579097 0.0029972356 0.0025383756 0.0027664108 0.002453298 0.0030474453 0.0032406128 0.0025446517 0.0019979246 0.003058603 0.0030376823 0.0030132749 0.0023438132 0.0032475865 0.0028870534 0.0030300114 0.0025585988 0.010265776 0.0025014156 0.0027747792 0.0030432611 0.0044993404 0.0027238722 0.002472824 0.002439351 0.0029895648 0.0028954218 0.0031980742 0.0033570714 0.0035042134 0.003205745 0.0032287578 0.0025558094 0.0047601513 0.0037573536 0.003246889 0.003920535 0.0033403349 0.0034372672 0.0028891456 0.0025948614 0.003005604 0.0030481427 0.0031436805 0.0031520487 0.0032001662 0.0031806403 0.0027440954 0.0027984893 0.0030732474 0.00436754 0.0031904033 0.0036381057 0.003472135 0.0044651697 0.0038222077 0.0037196963 0.0039707446 0.0042838575 0.0031959822 0.0032099292 0.0027531611 0.0038898513 0.0035788305 0.0034142544 0.004364751 0.0038473124 0.004028625 0.0042720023 0.0037594456 0.0041241627 0.0041213734 0.004459591 0.0035774359 0.0041750697 0.0035802252 0.0032224816 0.003387755 0.0031053259 0.0032266658 0.0035767385 0.0030118802 0.004577444 0.003428899 0.0049191485 0.0044177496 0.006973559 0.0039505213 0.0037252752 0.0038082607 0.005609531 0.0038263919 0.003701565 0.004316633 0.004145781 0.0054679676 0.0051137106 0.0036297375 0.0031381017 0.00550702 0.0051757754 0.0065886187 0.0053033917 0.0038507993 0.0033668343 0.003417044 0.0032496785 0.003034893 0.0033340587 0.0026380974 0.00320714 0.0027615293 0.002876593 0.0031122994 0.0026813336 0.00302513 0.003883575 0.0028256862 0.0034672536 0.0032538627 0.0024874685 0.002956789 0.0035509362 0.0033319665 0.004945648 0.0031374043 0.0036673946 0.0035432654 0.003358466 0.0030983523 0.0033277823 0.0036450792 0.0027134118 0.0024770082 0.0032001662 0.0036325268 0.002470732 0.0026638994 0.0028326598 0.003285941 0.002443535 0.0027747792 0.0025823088 0.003327085 0.0027050436 0.002737122 0.0027280564 0.0024630611 0.0029198292 0.0031890085 0.0031499567 0.003058603 0.0031959822 0.0030676685 0.00323085 0.0030063014 0.003150654 0.0029226185 0.0035809225 0.003242705 0.003099747 0.0027615293 0.0031283386 0.002884264 0.0030662739 0.0031060232 0.0036381057 0.0034874768 0.0036945916 0.0030906813 0.0028500936 0.002799884 0.0029770124 0.002465153 0.0026632021 0.002357063 0.002400299 0.0032120212 0.0024428377 0.0025293098 0.003327085 0.0033159272 0.0025906772 0.003142983 0.0038849697 0.0031332201 0.0027364246 0.0025181521 0.002986078 0.0030453533 0.0024930474 0.0022517622 0.0027838447 0.0025906772 0.0021701716 0.0029853806 0.0031450752 0.0032880332 0.0030083933 0.0029728282 0.0032078372 0.002645071 0.00258998 0.0029972356 0.0037587483 0.0031904033 0.0031945873 0.0024811924 0.0023933256 0.002276867 0.0026638994 0.0026290317 0.0032378235 0.0029519075 0.0027071356 0.002155527 0.0025641776 0.052073658 0.0030237352 0.0029832886 0.0032078372 0.0028598565 0.0033263876 0.0029379604 0.0021604085 0.002482587 0.0028396333 0.0026694783 0.0022036447 0.0026081111 0.002668781 0.0032517705 0.0027364246 0.0027224775 0.002380773 0.0026743598 0.0031597195 0.002664597 0.0029811964 0.0028089497 0.01125114 0.019298801 0.0 3.4902163e-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 3.4902163e-07 0.0027384236 1.535695e-05 1.29138e-05 3.7345315e-05 5.584346e-06 3.4902162e-06 2.338445e-05 6.631411e-06 3.4902162e-06 3.4902163e-07 1.7451081e-06 1.7451081e-06 6.9804327e-07 1.3960865e-06 2.0941297e-06 4.5372813e-06 0.008397809 2.163934e-05 0.000113083006 0.00028340556 0.00022581698 4.537281e-05 0.00014309886 2.3035427e-05 9.772605e-06 3.1411946e-06 2.0243255e-05 1.7451081e-06 0.0 2.0941297e-06 6.9804327e-07 1.3960865e-06 0.003713241 2.2337385e-05 4.8164984e-05 6.352193e-05 6.491802e-05 3.3506076e-05 0.00010749866 6.910628e-05 9.632997e-05 1.7800103e-05 1.081967e-05 4.1882595e-06 5.2353244e-06 4.5372813e-06 1.3611843e-05 1.3960865e-05 0.008388386 8.55103e-05 0.000116922245 0.00023803275 0.00018847168 0.00013786354 0.00024955047 0.00015252245 7.503965e-05 4.3627704e-05 3.210999e-05 2.6874664e-05 4.3627704e-05 1.919619e-05 0.00011378105 9.563193e-05 0.0054970905 8.725541e-05 0.00061253295 0.00031028021 0.0001225066 0.0001420518 0.00025897403 0.00017520886 9.807508e-05 3.0364881e-05 1.4309887e-05 1.6054995e-05 5.130618e-05 9.493388e-05 0.00019021679 0.00016159701 0.0067106388 0.00013053408 0.00010261236 0.000119016375 0.0002827075 0.00017485983 0.00029946055 0.00013088311 0.00012215757 7.573769e-05 6.0380742e-05 5.7588568e-05 0.00010156529 0.00015112637 0.0002854997 0.0004875832 0.009397407 0.00065616064 0.0004083553 0.00045896345 0.0009577153 0.000936076 0.0008809306 0.00056785817 0.00051829714 0.00048234788 0.00026211524 0.00022581698 0.00023140134 0.0004261554 0.011266418 0.0016306291 0.0078016804 0.00069036474 0.006391982 0.0014920675 0.0035690952 0.003018688 0.009840664 0.005966874 0.0005730935 0.0005605287 0.00035530402 0.00044430452 0.00041603378 0.00062579574 0.013768903 0.00095352705 0.0136366235 0.00070258055 0.0021977893 0.0014882282 0.002550301 0.002164283 0.0052314852 0.003195642 0.0010421786 0.00088686397 0.0005661131 0.00046245364 0.00051725004 0.0005455208 0.00810498 0.0017398727 0.009197767 0.0009413113 0.0017541826 0.0025935797 0.0031216494 0.0023817236 0.0036409935 0.0024564143 0.001129783 0.0010735905 0.00090920134 0.0010222844 0.00086592266 0.0011147751 0.013330881 0.0016424957 0.0078048217 0.00078634574 0.0011985402 0.0011318771 0.0010041352 0.0009102484 0.0018222419 0.0013800315 0.0010578845 0.000984241 0.0010990691 0.00062265457 0.0005409835 0.0005535483 0.0044849277 0.0017807083 0.0038169005 0.00039823368 0.0008673187 0.00066244305 0.00094968785 0.00085475395 0.0010739395 0.00090326794 0.0007151453 0.00073608663 0.0008310205 0.00059228967 0.00064569 0.00033157054 0.00035286086 0.000564717 0.0073364344 0.0014306396 0.0015587306 0.0015758326 0.0024452454 0.003551644 0.0017168374 0.0023691587 0.004182326 0.0010784768 0.0012072658 0.0012309992 0.0024358218 0.00071758847 0.0016519193 0.002680486 0.010340813 0.0027799571 0.0031551556 0.0046063876 0.004528905 0.006340676 0.0060607605 0.006102992 0.0074348585 0.0030909355 0.002969127 0.002485383 0.003762802 0.0018348066 0.0028180005 0.004597662 0.036706254 0.036014143 0.03712892 0.0371715 0.038039867 0.04015878 0.039656885 0.03760289 0.036175743 0.03812782 0.040419847 0.040191237 0.036784437 0.040205896 0.037434664 0.035757963 9485.0 14.527676 137795.0 0.073406145 0.00359955 0.0056533255 0.0033382925 0.005595268 0.0036721216 0.00433978 0.003686636 0.005798469 0.006545956 0.005537211 0.00645887 0.0068870424 0.005863783 0.00990602 0.007714358 0.015914947 0.009673791 0.007910302 0.00916579 0.006821728 0.006125041 0.0058855545 0.005363039 0.004347037 0.0059726406 0.0071700714 0.0059798975 0.004702638 0.0054138396 0.0029246344 0.0041728653 0.0032439493 0.01919518 0.010668022 0.012061396 0.0120251095 0.008795675 0.008084473 0.009564933 0.007728873 0.012090424 0.0068507567 0.005116296 0.006226641 0.010406763 0.008991618 0.0071773287 0.008338474 0.012678253 0.010174534 0.011110708 0.009528647 0.007874016 0.007003157 0.011255851 0.007874016 0.008258645 0.006088755 0.004013208 0.008752132 0.00497841 0.0049566384 0.010922022 0.0047534383 0.022431873 0.009506877 0.020124098 0.015755288 0.041235168 0.012286368 0.012808883 0.012598425 0.02591531 0.005936355 0.00645887 0.019369353 0.011662252 0.027613483 0.02608948 0.012467796 0.004651838 0.027149025 0.025791937 0.033252295 0.013853913 0.0093254475 0.010232592 0.007852244 0.008258645 0.0052324105 0.0048114955 0.0038680648 0.0040785223 0.0036648645 0.0033818353 6.2001996 12.0 47.0 0.0 46.0 1433988.0 28672.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1301832400.0 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 2.0 50.0 4.0 0.0 4.0 0.0 8704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.769546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.322406 0.0 0.0 0.0 0.0 -4.516155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.191553 0.0 5.0674453 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1841.0 0.0 0.0 0.0 0.0 -1960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6552.0 0.0 700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.01463734 0.0034013228 0.003667658 0.0032515093 0.003462358 0.0031516335 0.0031238904 0.0030684038 0.0032570579 0.0032237659 0.0031849255 0.0029740767 0.0032293147 0.0033624822 0.00300182 0.0030184658 0.0032459607 0.00300182 0.002874201 0.0030517578 0.003096147 0.0031183416 0.0032126687 0.0029463335 0.0034845525 0.003301447 0.0028409092 0.0031016956 0.0032237659 0.0030184658 0.00291859 0.003112793 0.0034179688 0.0030517578 0.0032182173 0.0034013228 0.0034179688 0.0030240146 0.0028686523 0.0033236416 0.0032626064 0.0031349875 0.0032958984 0.0030628552 0.0034679065 0.0031349875 0.0031904741 0.0030684038 0.0032015713 0.003318093 0.0033402876 0.0031183416 0.0031627307 0.0030406604 0.003146085 0.003079501 0.0030406604 0.0030184658 0.0030517578 0.00300182 0.003096147 0.002746582 0.0030073687 0.0029463335 0.0031904741 0.0030573064 0.003351385 0.0030905984 0.0036066228 0.0031738281 0.0030184658 0.0030850498 0.0030406604 0.0030073687 0.0029740767 0.0031960227 0.0032903499 0.0031571821 0.0032015713 0.0030129172 0.0033125444 0.0029796252 0.0031349875 0.00300182 0.0030739524 0.0029740767 0.0027243875 0.003096147 0.0032182173 0.0030628552 0.0027909712 0.0029463335 0.0031183416 0.0031960227 0.0031516335 0.0029629795 0.0031738281 0.0032015713 0.0031904741 0.0031571821 0.0034013228 0.0036954014 0.0031183416 0.0029907227 0.0032737039 0.0031571821 0.0031793767 0.0031349875 0.0034845525 0.0032348633 0.0032459607 0.0032237659 0.0032737039 0.0029740767 0.0032015713 0.0029907227 0.0032903499 0.0032182173 0.0031072444 0.0030295632 0.0033125444 0.0031238904 0.0030684038 0.0027965198 0.002985174 0.0029574307 0.0028464578 0.0028076172 0.0031627307 0.0031016956 0.0030295632 0.0031405361 0.0033957742 0.0032293147 0.003096147 0.002935236 0.0031571821 0.0033458362 0.0031016956 0.0040116743 0.0032293147 0.0030517578 0.0030073687 0.0031183416 0.0030351118 0.0031183416 0.0029463335 0.0030684038 0.0029296875 0.002857555 0.0028963955 0.0030462092 0.0032182173 0.0032237659 0.002857555 0.0030628552 0.0029629795 0.0030739524 0.0030573064 0.0030351118 0.0029463335 0.00320712 0.0031738281 0.002890847 0.0029962712 0.0030295632 0.0031349875 0.003146085 0.0030184658 0.0030573064 0.002935236 0.003112793 0.003146085 0.0030295632 0.0028963955 0.002729936 0.0032015713 0.0030905984 0.0030573064 0.003112793 0.0031738281 0.0028464578 0.0034401633 0.0031738281 0.19787598 0.0028852983 0.0029796252 0.003334739 0.002985174 0.0029130415 0.0029907227 0.0030240146 0.0033458362 0.0032903499 0.0032792524 0.0030295632 0.0032237659 0.0031349875 0.0035011985 0.0029740767 0.0030240146 0.0030850498 0.0029296875 0.0030406604 0.0031238904 0.0030184658 0.0032348633 0.0031016956 0.003301447 0.0031793767 0.00300182 0.0030684038 0.0029574307 0.002951882 0.0028963955 0.0031516335 0.002968528 0.0029907227 0.0033402876 0.0030462092 0.0031571821 0.0030573064 0.0027576794 0.0028520063 0.0031682795 0.0030850498 0.002940785 0.0029796252 0.0029740767 0.0028852983 0.0028353604 0.002968528 0.0031627307 0.0031682795 0.0029130415 0.0031072444 0.0028963955 0.002857555 0.0029740767 0.002968528 0.0032404119 0.0028409092 0.0031183416 0.003096147 0.0029296875 0.0027965198 0.003112793 0.0028797498 0.0030684038 0.0030129172 0.0025856711 0.0029629795 0.002890847 0.0031183416 0.0028686523 0.0032681553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033705358 4.7433037e-05 0.00024553572 0.00021763393 0.00018694196 0.0001171875 0.0007142857 0.0004268973 6.4174106e-05 1.3950893e-05 2.2321428e-05 1.953125e-05 4.7433037e-05 0.00012555804 3.6272322e-05 5.859375e-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 0.004609375 0.0004017857 0.00046316965 0.00035714285 0.0006389509 0.00046316965 0.000703125 0.0005050223 0.0007282366 0.0002092634 0.00015345983 0.0007924107 0.00036272322 0.00035993304 0.00030412947 0.0003766741 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.047304686 0.045404576 0.046760604 0.0450279 0.04606585 0.04453404 0.04657087 0.044366628 0.046693638 0.04470145 0.044748884 0.22705357 0.046515066 0.04480469 0.044204798 0.043814175 0.0041043526 0.0039453125 0.00390625 0.0037444197 0.0037667411 0.0038671875 0.0036188615 0.003655134 0.00390625 0.0036997767 0.0037890626 0.017566964 0.0036830357 0.0036495535 0.0035993303 0.0037834821 45.0 15.755555 709.0 0.06770099 0.0014104373 0.0028208746 0.0 0.005641749 0.0 0.0 0.019746121 0.0014104373 0.0 0.0 0.0 0.0014104373 0.008462624 0.01551481 0.007052186 0.005641749 0.004231312 0.008462624 0.0098730605 0.007052186 0.0 0.0 0.0 0.0028208746 0.0014104373 0.005641749 0.0 0.016925247 0.012693935 0.014104372 0.0028208746 0.004231312 0.008462624 0.0 0.004231312 0.007052186 0.007052186 0.011283498 0.008462624 0.0098730605 0.004231312 0.0 0.0028208746 0.007052186 0.0028208746 0.004231312 0.0014104373 0.0098730605 0.0 0.005641749 0.007052186 0.004231312 0.005641749 0.008462624 0.007052186 0.0 0.0014104373 0.0014104373 0.0014104373 0.0 0.0014104373 0.0014104373 0.0028208746 0.0014104373 0.042313118 0.005641749 0.032440055 0.023977432 0.10296192 0.008462624 0.005641749 0.008462624 0.036671367 0.0014104373 0.0014104373 0.043723553 0.02538787 0.033850495 0.039492242 0.005641749 0.004231312 0.053596616 0.060648803 0.043723553 0.023977432 0.012693935 0.0 0.007052186 0.008462624 0.0014104373 0.0 0.0014104373 0.0 0.0 0.0 5.3429394 0.0 0.0 0.0 1.0 180224.0 200704.0 0.0 0.0 15.0 1.0 1.0 0.0 0.0 0.0 1512501900.0 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 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 2048.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 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 0.0 512.0 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 -177664.0 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 -3.9634564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7562666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.1090164 0.0 4.917624 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 0.0 0.0 0.0 0.0 0.0 0.0 436.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -177331.0 0.0 472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 184396.0 472.0 192512.0 0.0 0.0 0.0 0.0 48.0 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 64.0 184320.0 0.0 0.0 0.0 0.0


Input: 0.17840402 0.009723138 0.0043213945 0.005822896 0.006793379 0.0046693035 0.003968908 0.003529444 0.009137186 0.0029892698 0.0109774405 0.0028244709 0.00640427 0.004426683 0.0025818502 0.0046326816 0.0055024535 0.00225683 0.0021835861 0.002165275 0.0035202885 0.003167802 0.0023071852 0.0019043434 0.0031906907 0.0030075808 0.0018173661 0.0018860324 0.0028107376 0.0020233649 0.0017990551 0.0018768769 0.0054292097 0.0017624332 0.0017349666 0.0021057643 0.006189116 0.0030899802 0.0018265216 0.0016708781 0.0024628288 0.0016663005 0.0018356772 0.0028977147 0.0021927415 0.002549806 0.0020279426 0.0016159452 0.003785798 0.002000476 0.0018997656 0.005914451 0.0025543836 0.0017212335 0.0017395444 0.0018265216 0.0026459387 0.002421629 0.0017486999 0.003547755 0.0025635392 0.0019272321 0.0018310994 0.0016983447 0.005566542 0.01506537 0.002403318 0.002641361 0.0038636196 0.009576649 0.0039551747 0.0025864278 0.0032318905 0.0022797186 0.0017670109 0.001803633 0.0038498864 0.0108492635 0.0035065552 0.0021881638 0.00750293 0.005479565 0.002618472 0.0043625943 0.0029251813 0.0037171317 0.005662675 0.0039093974 0.0027100272 0.0026322054 0.0018951879 0.002403318 0.0021881638 0.0028610928 0.003877353 0.0031403354 0.00280616 0.002874826 0.0020828755 0.0026138944 0.004605215 0.006317293 0.0034058448 0.002293452 0.0036347322 0.0033554896 0.0046097925 0.0019180767 0.0028382041 0.0021973192 0.0029938475 0.002618472 0.003675932 0.0017532776 0.0030899802 0.0027603824 0.0059373397 0.0074159526 0.0022842966 0.002201897 0.0023758514 0.0018951879 0.0016251007 0.0016663005 0.0025589615 0.002801582 0.0021057643 0.0017212335 0.0058366293 0.0025635392 0.0017807442 0.008033949 0.0028519372 0.0045365486 0.0021606972 0.0019318098 0.002746649 0.009746026 0.0026276277 0.022481322 0.0020645645 0.010949974 0.001803633 0.0015243902 0.0027100272 0.0016800337 0.0013962133 0.0028290485 0.0017853219 0.0016296784 0.0016067898 0.0016067898 0.0020096316 0.0025864278 0.001474035 0.0013367026 0.001803633 0.0013733245 0.0016525672 0.0015243902 0.0020554091 0.0016159452 0.001583901 0.0016891892 0.0019043434 0.0016937669 0.00156559 0.0015152347 0.002508606 0.001657145 0.0015793232 0.0016205229 0.0018310994 0.0014877683 0.0016296784 0.0018356772 0.0024262066 0.0014236798 0.0016067898 0.0018310994 0.0018127884 0.0018906101 0.001982165 0.0016479895 0.0050813006 0.0019409653 0.0017120779 0.0017853219 0.0024536732 0.0018127884 0.0021744305 0.0018173661 0.0051637003 0.0037949535 0.0039597526 0.0037033986 0.0027558047 0.0019180767 0.0035340218 0.003804109 0.0027191825 0.0037217096 0.0019913206 0.0023346518 0.0056352085 0.0018402549 0.0025635392 0.0021835861 0.002490295 0.0022293634 0.0023254962 0.0024765618 0.002128653 0.0015381235 0.0021011867 0.0020462535 0.0025635392 0.0019226543 0.002005054 0.0021927415 0.0024857174 0.0016663005 0.0019592764 0.0020828755 0.0029389146 0.001982165 0.002110342 0.0017624332 0.0025635392 0.0013916355 0.0017761664 0.0015976342 0.0114581045 0.0057542296 0.0019775874 0.0034699333 0.0054292097 0.0018082106 0.0016663005 0.0019501209 0.005355966 0.002494873 0.0021378086 0.002220208 0.0035157108 0.0017166557 0.002330074 0.0024307845 0.003222735 0.0020096316 0.001986743 0.0020096316 0.0064363144 0.002005054 0.003291401 0.033980627 0.02825352 0.0 0.0 0.0 0.0 4.606427e-06 2.9941775e-05 9.212854e-06 0.0 2.3032135e-06 2.3032135e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0044060475 2.3032135e-06 6.9096404e-06 0.0 4.3761054e-05 6.9096404e-06 2.3032135e-06 4.606427e-06 2.0728921e-05 4.606427e-06 4.606427e-06 4.3761054e-05 2.7638562e-05 2.3032135e-05 4.3761054e-05 7.600604e-05 0.0083146 5.988355e-05 0.00013358638 3.9154627e-05 0.0001704378 8.982533e-05 0.00031554024 0.00014510244 7.8309255e-05 1.3819281e-05 1.1516067e-05 1.3819281e-05 9.212854e-06 9.212854e-06 1.3819281e-05 1.6122494e-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 0.0034018462 0.0002211085 3.9154627e-05 4.1457843e-05 4.3761054e-05 4.3761054e-05 3.6851416e-05 1.8425708e-05 0.00046755234 3.6851416e-05 3.9154627e-05 3.9154627e-05 2.5335348e-05 0.00010134139 0.00011746389 4.3761054e-05 0.056631412 0.0021558078 0.0018817254 0.0007715765 0.0060919994 0.0017965065 0.0027293079 0.0014302955 0.00051822304 0.0014118699 0.000550468 0.0006955705 0.00072781544 0.00033166274 0.0005804098 0.0066010095 0.0030517578 0.00012207031 4.3761054e-05 0.00026717276 2.0728921e-05 1.3819281e-05 0.000108251035 0.000108251035 0.0002740824 0.0001381928 1.6122494e-05 1.8425708e-05 0.00012667674 1.1516067e-05 4.3761054e-05 0.00035239165 0.01658544 0.0009880785 0.0007577572 0.0007186026 0.0032337117 0.0013404703 0.003238318 0.0016882555 0.0009351047 0.00028790167 0.00029711454 0.00022571492 0.00032475308 0.0005136166 0.0006541126 0.001229916 0.014982403 0.0010341428 0.0011838517 0.0010134139 0.00313928 0.0011792453 0.0016421912 0.0008567954 0.0012437353 0.00071169296 0.00028099204 0.00062186766 0.0013105285 0.0005804098 0.0010779039 0.0021604141 0.010509563 0.0008360665 0.00088213076 0.0009857754 0.0028099203 0.0014556309 0.0031738281 0.0016214623 0.0009166789 0.00073011866 0.00021880527 0.00035008843 0.00069096405 0.0006333837 0.0006840544 0.0018034162 0.008807488 0.0009788657 0.000550468 0.00075084757 0.0050555533 0.0017020748 0.0012207031 0.001133181 0.004410654 0.0004445202 0.0005021005 0.0025128059 0.0037150832 0.00066102226 0.0038233344 0.006184128 0.051027693 0.006435178 0.005933078 0.005969929 0.021599535 0.018552383 0.008286962 0.010018978 0.03230487 0.0019508218 0.0018609965 0.0042033647 0.01300164 0.0042609447 0.014351323 0.021940412 0.030321805 0.0072251805 0.0075706625 0.0073127025 0.012087264 0.0106546655 0.007791771 0.0077733453 0.01981685 0.0027546433 0.0027500368 0.0031093382 0.009298073 0.0049542123 0.007218271 0.015021558 0.023937298 0.021346182 0.021917379 0.021793006 0.02102143 0.021168835 0.022371111 0.021060584 0.022863999 0.020606851 0.021251751 0.021647904 0.022578401 0.02220528 0.021226415 0.022060178 866.0 10.684757 9253.0 0.026802119 0.0024856804 0.0039987033 0.0031341186 0.0063763103 0.01026694 0.005187507 0.0021614612 0.00389063 0.003782557 0.0028098994 0.0032421916 0.004863288 0.0180482 0.010915379 0.0059440183 0.019885443 0.008429699 0.007889333 0.0069166757 0.005619799 0.005079434 0.0029179726 0.0043229223 0.0044309953 0.0059440183 0.0046471413 0.005187507 0.004863288 0.0043229223 0.001945315 0.0031341186 0.00389063 0.017075542 0.00529558 0.016859397 0.010699233 0.022479195 0.014373717 0.014914082 0.0064843833 0.012212255 0.0028098994 0.00529558 0.019128932 0.009726576 0.008970064 0.01026694 0.011996109 0.008213553 0.012212255 0.023019562 0.014481789 0.0027018264 0.009942722 0.009834648 0.0073489677 0.004971361 0.0062682373 0.0043229223 0.0036744839 0.0047552143 0.0035664109 0.019345077 0.0032421916 0.025072949 0.005403653 0.019669296 0.02053388 0.05328002 0.007673187 0.0125364745 0.010483086 0.033718795 0.00389063 0.0058359453 0.023451854 0.014265643 0.03004431 0.028315142 0.011996109 0.0021614612 0.031881552 0.02442451 0.03782557 0.010483086 0.0061601643 0.008861991 0.0057278723 0.00778126 0.0033502649 0.0024856804 0.0032421916 0.0044309953 0.0025937534 0.0025937534 6.130498 0.0 13.0 6.0 3.0 218448.0 217088.0 0.0 0.0 154.0 0.0 1.0 1.0 0.0 0.0 1117011600.0 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 86016.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 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 -86016.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.654889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0524135 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.513664 0.0 7.693011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84110.0 0.0 81920.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -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 2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 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 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 119672.0 8744.0 135168.0 0.0 0.0 5456.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1488.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.09348819 0.008593637 0.006076968 0.006366865 0.005999058 0.0048648356 0.0046637193 0.00371793 0.00559139 0.004413683 0.004975359 0.0038030874 0.0047887373 0.0035494275 0.0034117263 0.0030348601 0.004150964 0.0048757065 0.003351935 0.0036291492 0.004884766 0.0046147993 0.003835701 0.0039697783 0.004973547 0.0056874184 0.0035222496 0.002719597 0.0037378606 0.0036092186 0.0027630816 0.0033320046 0.0059501375 0.0038248296 0.0041817655 0.003857443 0.0035657343 0.0034389042 0.0031544426 0.0027993186 0.00452783 0.003504131 0.0044607916 0.0034986956 0.0038139585 0.002833744 0.0039679664 0.0033175098 0.006604218 0.004402812 0.0040621827 0.003188868 0.0040313816 0.0028808522 0.0027938832 0.0027431513 0.003861067 0.002882664 0.0032359762 0.0029587622 0.0028935352 0.0023499783 0.0026235685 0.0026163212 0.0047017685 0.0036019713 0.0037414844 0.0038375126 0.0059501375 0.004855776 0.0042035077 0.00395166 0.004024134 0.004236121 0.00328852 0.0027793883 0.0041781417 0.003301203 0.0033827366 0.0028989709 0.004339397 0.0042941007 0.004006015 0.0048267865 0.0048630238 0.00500616 0.0037088708 0.0075645023 0.0035566748 0.0032939557 0.0033102625 0.0024731846 0.0033591825 0.003705247 0.0029134657 0.0034316569 0.004391941 0.005402957 0.0044698506 0.004531454 0.004149152 0.008307364 0.0039027396 0.0032323524 0.00417633 0.004835846 0.003214234 0.0023626613 0.004335773 0.0030294245 0.005007972 0.0048285984 0.0046745907 0.0032540949 0.0056131324 0.004353892 0.0065607335 0.0044100597 0.0030892158 0.0032232932 0.002897159 0.0028989709 0.0027685172 0.002275692 0.002822873 0.0027105378 0.002442383 0.0027558343 0.006384983 0.0036019713 0.0037342368 0.0031435716 0.0036979998 0.0032396 0.0035077548 0.0025891433 0.0043937527 0.0032232932 0.004353892 0.0034878242 0.0046637193 0.002882664 0.0031870562 0.002835556 0.0035077548 0.0031816205 0.0027757646 0.002848239 0.0034878242 0.003516814 0.002692419 0.0028917235 0.0038646904 0.0033609944 0.003605595 0.002630816 0.0029442674 0.0027920713 0.0025365995 0.0021524858 0.003823018 0.003312074 0.003743296 0.0036653862 0.0034244093 0.0033084506 0.0033664298 0.0026217569 0.0042687347 0.0029786925 0.004071242 0.0031979273 0.0032957676 0.0025184809 0.0033211336 0.0026996667 0.003453399 0.0029189014 0.0028681692 0.0026271923 0.0030910277 0.0023807797 0.0022195245 0.0020926946 0.0031308886 0.0027232207 0.00328852 0.0025547182 0.0025112336 0.0024695608 0.0026960429 0.002404334 0.004172706 0.0032867081 0.0031327005 0.00281019 0.0037124946 0.0033193217 0.003123641 0.002670677 0.0031779967 0.0024224524 0.0035747935 0.0027395275 0.003326569 0.0023735324 0.0025800841 0.0022358312 0.0033791128 0.0031200175 0.0028627338 0.0023898392 0.0032196695 0.002744963 0.002630816 0.0026108855 0.003060226 0.002503986 0.0026978548 0.0021488622 0.002869981 0.0022448907 0.002366285 0.00217604 0.0031471953 0.0025746485 0.0029949993 0.002797507 0.00268336 0.0026906074 0.0025492825 0.0021995942 0.0033591825 0.0026036382 0.0029261487 0.0027304683 0.0027993186 0.0021742282 0.0025492825 0.0022340193 0.0029533266 0.0024315119 0.0027232207 0.0023228005 0.002846427 0.0025221047 0.002491303 0.002264821 0.0030076823 0.002393463 0.0026670531 0.0023644732 0.0026416872 0.0022575737 0.0024441949 0.0218673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01973402 0.00038917016 0.0007337858 0.00028460342 0.00019185725 0.00022186336 0.00014912128 0.00014639345 0.0001709439 0.00011820589 0.00010911313 7.637919e-05 0.00014093779 0.000114568786 9.0927606e-05 0.0033988738 0.048102524 0.00416994 0.0018940221 0.0011620548 0.0020831514 0.000872905 0.0005628419 0.0002927869 0.0023050148 0.00033188576 0.00050737604 0.00029005908 0.00024095816 0.0002927869 0.00025550657 0.0018130965 0.011876055 0.0009774718 0.00045100093 0.00062376336 0.0005082853 0.00021004277 0.00019185725 0.00013002648 0.000635584 9.3655435e-05 0.00015457693 8.910905e-05 8.36534e-05 8.910905e-05 8.456267e-05 0.00056102336 0.0004291783 0.00015730476 0.0012002444 5.3647287e-05 0.00056738826 0.00086472154 0.005219245 0.002681455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031879218 0.00038826087 0.00048191633 0.00016185115 0.0008392618 0.0007128724 0.0024623196 0.0017558121 0.00020004074 3.0915387e-05 4.2735974e-05 4.18267e-05 3.8189595e-05 3.728032e-05 3.6371042e-05 0.00075560843 0.0018331006 8.36534e-05 0.00011911517 9.547399e-05 0.00056556973 8.183485e-05 0.00014002851 0.00014548417 0.0003527991 0.00034279708 0.00022640974 4.2735974e-05 0.00015457693 3.3643213e-05 3.273394e-05 0.0013366358 0.00566479 0.0006610437 0.00065922516 0.00040099074 0.001317541 0.0011938795 0.0019458508 0.0012266134 0.0006692272 0.0008483546 0.00064831384 0.0001363914 0.00028460342 0.0001518491 0.0001782181 0.002635082 0.014066501 0.0021349802 0.0019358487 0.00222318 0.0052092425 0.0068959496 0.009989307 0.00630492 0.0009010926 0.0011229559 0.000958377 0.0005846645 0.0007092353 0.0006965055 0.0008147114 0.005042845 0.0030597139 0.0010265727 0.0010784015 0.000724693 0.00093655434 0.001261166 0.0013284524 0.00077288464 0.001132958 0.0011784218 0.001063853 0.00021004277 0.00037462174 0.0006683179 0.00062012626 0.0050473916 0.006063053 0.0021777162 0.0020567824 0.0024577733 0.0017739976 0.0015966888 0.0028878609 0.0019085705 0.0016430619 0.0012438897 0.00094928424 0.00089654623 0.00092291523 0.0007683383 0.00075015274 0.0016985277 0.05279075 0.05149503 0.050072014 0.045841154 0.049019072 0.05080671 0.04520648 0.041342963 0.05099857 0.043568872 0.049043622 0.041138377 0.04579114 0.040249106 0.040200915 0.038003195 3721.0 11.216071 41735.0 0.031244759 0.003809752 0.0036899485 0.0040972806 0.0035222236 0.003953516 0.0029471666 0.0032586558 0.0057266084 0.004217084 0.0037857913 0.0030909309 0.003953516 0.004624416 0.0060141366 0.0066610756 0.013370073 0.0073319757 0.0070684077 0.0048400625 0.0039295554 0.0045285732 0.0032107343 0.0031148915 0.005606805 0.0043368875 0.003809752 0.0025877561 0.002851324 0.0023960704 0.002180424 0.0024679527 0.0041691624 0.008098718 0.0058224513 0.01157302 0.020630166 0.012028273 0.010398946 0.0066131544 0.0061099795 0.018593507 0.0038576734 0.0039055948 0.009656164 0.007451779 0.0064454293 0.007691386 0.008697736 0.0046723373 0.010351025 0.0238409 0.010638553 0.0070923683 0.007236133 0.05482209 0.003953516 0.0041452018 0.003642027 0.0027794417 0.0031867737 0.0034263807 0.0028992451 0.009775967 0.0042650052 0.030214448 0.01056667 0.018186174 0.0154306935 0.06541272 0.012411645 0.011932431 0.012938781 0.030214448 0.0050796694 0.0044327304 0.022355337 0.011932431 0.03270636 0.034455493 0.024320114 0.0037618305 0.03783395 0.02621301 0.047729723 0.018785192 0.0067569185 0.00850605 0.004959866 0.0087935785 0.0042410446 0.0021325026 0.0029711274 0.0024439918 0.0025877561 0.002995088 5.958968 0.0 38.0 0.0 8.0 551920.0 1642496.0 0.0 7.0 13.0 1.0 1.0 1.0 0.0 0.0 1176941200.0 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 6.0 0.0 4.0 0.0 4.0 0.0 954368.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 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 -399360.0 0.0 134656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.17943254 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9781184 0.0 5.2973285 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1499136.0 0.0 135168.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 237.0 1633904.0 675.0 1634492.0 130664.0 1503232.0 0.0 0.0 16368.0 535552.0 16.0 1638400.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.514462 0.003567431 0.0021287845 0.0021425188 0.002983732 0.001593155 0.0039279507 0.0020944495 0.003515928 0.0015965884 0.0017819987 0.0015313515 0.0024069 0.0016927271 0.0013390742 0.0030249343 0.0024961715 0.0014420799 0.0012601032 0.0011467969 0.002039513 0.0018438022 0.0036292344 0.0014764151 0.001593155 0.003594899 0.0013562418 0.0016652589 0.0014420799 0.0014146117 0.0014283458 0.0013322071 0.0030970383 0.0036876043 0.0014043112 0.0016686925 0.0016892935 0.0014352128 0.0013905771 0.002183721 0.001397444 0.0011845656 0.0014489469 0.0015485191 0.0015141839 0.0035399627 0.0015828543 0.001534785 0.0016686925 0.0036498355 0.0012051668 0.0023691312 0.001376843 0.0017270624 0.0014729816 0.0013287736 0.0012978719 0.0019056055 0.001397444 0.0042129336 0.0015210509 0.0014249122 0.0013493748 0.0012223343 0.004741696 0.0038730146 0.0013287736 0.0017236288 0.0020051778 0.003055836 0.0040687253 0.0017030276 0.0015828543 0.003797477 0.0012498025 0.001757964 0.001455814 0.0022180562 0.0015210509 0.0013219066 0.0024446687 0.0014283458 0.0015107504 0.0018266345 0.0014043112 0.0022352238 0.002012045 0.002695316 0.0026060443 0.0022558249 0.003632668 0.0015622532 0.0012566696 0.0019090391 0.0016618253 0.0016446578 0.0013596753 0.0018060334 0.0012257679 0.0015313515 0.0016686925 0.0023141948 0.0016618253 0.0013425077 0.0018609698 0.0026541138 0.0021974551 0.0011433633 0.0020635477 0.003653269 0.0042781704 0.0022558249 0.0016343573 0.0012944384 0.0021081835 0.001541652 0.0033614195 0.0036979048 0.0016549584 0.0013699759 0.0021390852 0.0014146117 0.0013047389 0.0012360684 0.001455814 0.0018644033 0.0014455135 0.0014317794 0.0015794209 0.0016103225 0.0013047389 0.0034678588 0.0015622532 0.0026987495 0.0013665424 0.0036292344 0.0017957328 0.0029562637 0.0015656868 0.006564897 0.001239502 0.0022146227 0.0013322071 0.0012978719 0.0017819987 0.0020875824 0.0020189118 0.0012017332 0.0016137561 0.0013940106 0.00373224 0.0014386463 0.0012875714 0.0011879992 0.0012429355 0.0012120338 0.0012910048 0.0014455135 0.0012875714 0.0012635366 0.0014077447 0.0016068891 0.0011845656 0.0013871435 0.0011467969 0.0023004608 0.0013734094 0.0035708644 0.0037219396 0.0013802765 0.0017304958 0.0013322071 0.001232635 0.0013493748 0.0013596753 0.0013013054 0.0014043112 0.0014146117 0.0012978719 0.0011879992 0.001174265 0.0011948661 0.0024412354 0.0013390742 0.001397444 0.0021528192 0.0013047389 0.0014043112 0.0012120338 0.0012841378 0.001953675 0.0012498025 0.0026644142 0.0017957328 0.00138371 0.0022077556 0.0025614086 0.0014798486 0.0019227732 0.0024103336 0.0014867157 0.0019296402 0.0012772707 0.0012223343 0.002362264 0.0012841378 0.0021150506 0.0011914327 0.0015553861 0.0015210509 0.0019502414 0.0013322071 0.0011914327 0.0013047389 0.0013562418 0.0013150395 0.003797477 0.001318473 0.0016652589 0.0012910048 0.0015897214 0.0013665424 0.0018987386 0.0011055946 0.0015485191 0.0016686925 0.0013356407 0.0012292014 0.001678993 0.0013459412 0.0020292124 0.001153664 0.003646402 0.002228357 0.0013081725 0.001960542 0.0019262068 0.0012086002 0.0015244845 0.0012566696 0.0040824595 0.0013287736 0.0014695481 0.0014180453 0.0015691202 0.0012051668 0.0015244845 0.0015965884 0.0021013163 0.0020944495 0.0012566696 0.0013425077 0.0023004608 0.0013596753 0.002053247 0.00907137 0.48409894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003386912 3.450751e-05 2.9331382e-05 3.105676e-05 2.242988e-05 3.450751e-06 3.450751e-06 0.0 1.7253755e-06 1.20776285e-05 0.0 5.1761263e-06 0.0 0.0 1.7253755e-06 1.7253755e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022550656 3.795826e-05 2.9331382e-05 3.9683637e-05 0.0001828898 0.000100071775 0.00054521865 0.00027951083 1.7253755e-06 1.552838e-05 8.626877e-06 1.20776285e-05 3.450751e-06 5.1761263e-06 1.3803004e-05 3.450751e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0038596648 0.00013457928 0.00040891397 0.00015873455 0.00016736142 0.00025190483 0.00077469356 0.00047447823 0.00033127208 3.105676e-05 0.0001052479 7.0740396e-05 9.14449e-05 3.450751e-05 4.8310514e-05 0.00012422704 0.0060905754 0.00033472283 0.00065564265 0.00023637644 0.00067289645 0.0003657796 0.0023102777 0.0011663538 0.0004554991 0.00015010766 0.00036923034 0.00014838229 0.00035715272 0.00024327794 0.00019324206 0.00038475872 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0058749034 0.0004554991 0.0004710275 0.00032437057 0.0012923062 0.0008212787 0.0012336434 0.0009886401 0.0016908679 0.00013285391 0.0004002871 0.00022084806 0.0013733988 0.0006125083 0.0005089858 0.0012664256 0.009850169 0.001295757 0.0012698764 0.0012560734 0.0034714553 0.0027813052 0.00092997734 0.0023723913 0.0061095543 0.00058662763 0.0005676485 0.0008005742 0.0028089113 0.00095758337 0.002500069 0.004844854 0.011685967 0.002367215 0.0013112853 0.0024966183 0.0042254445 0.0040977667 0.0018961877 0.0034731808 0.0066668508 0.0008695892 0.00081955333 0.0010145208 0.003939032 0.0011404732 0.0032109236 0.0073224935 0.023566904 0.024391633 0.025956549 0.024460647 0.027195368 0.02364627 0.025188755 0.020211048 0.020927079 0.02363937 0.025002416 0.021142751 0.02077697 0.022509249 0.020602709 0.02180702 712.0 8.692416 6189.0 0.03700113 0.009209888 0.0051704636 0.0059783487 0.0050088866 0.0048473096 0.0050088866 0.0067862337 0.0053320406 0.0048473096 0.0046857325 0.0048473096 0.007109388 0.011148812 0.008402004 0.0061399257 0.009048312 0.008240427 0.0059783487 0.0056551946 0.0063015027 0.004524156 0.009048312 0.0051704636 0.0050088866 0.0064630797 0.0066246567 0.007917273 0.004201002 0.0050088866 0.0056551946 0.004201002 0.0066246567 0.013087736 0.004524156 0.010502504 0.0069478108 0.008240427 0.01179512 0.010502504 0.00807885 0.01454193 0.004524156 0.0053320406 0.008402004 0.009856196 0.0061399257 0.007270965 0.014057199 0.0056551946 0.009533042 0.015188238 0.010017773 0.0066246567 0.012926159 0.012764582 0.0061399257 0.007270965 0.009209888 0.007270965 0.0048473096 0.0053320406 0.0061399257 0.0051704636 0.004524156 0.029245436 0.008402004 0.017450316 0.016965585 0.05154306 0.009694619 0.011471966 0.009533042 0.031507514 0.0058167716 0.0046857325 0.02359024 0.017127162 0.033769593 0.03344644 0.014380353 0.0054936176 0.033123285 0.018904507 0.04136371 0.017611893 0.0067862337 0.0054936176 0.0061399257 0.010340927 0.004524156 0.0053320406 0.004039425 0.0050088866 0.003554694 0.004039425 6.2072697 0.0 0.0 0.0 13.0 291246.0 303104.0 0.0 0.0 60.0 0.0 1.0 0.0 0.0 0.0 1540831200.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 29696.0 1024.0 4096.0 5.0 0.0 0.0 2.0 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 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -140288.0 0.0 138752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5441346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.36948112 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5721784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6906.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139860.0 0.0 138500.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 42356.0 138500.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 41592.0 0.0 0.0 244.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.0071045235 0.0039077504 0.0039149974 0.0038845092 0.0038575197 0.0038210338 0.003914498 0.0039057513 0.0038402763 0.0037728022 0.00380504 0.003794044 0.0038355282 0.0038282808 0.003895755 0.003927243 0.0038375272 0.0037780502 0.0038032904 0.0038222831 0.0038587693 0.0038480232 0.003843775 0.0038747631 0.0038482733 0.0038235327 0.003846274 0.0038782617 0.0038287807 0.003854021 0.0039154976 0.0039757243 0.003989969 0.0038397764 0.0038430253 0.003898504 0.003914748 0.0038060395 0.0037805492 0.0038345286 0.003851022 0.0038532712 0.0037975428 0.0038120372 0.0037693034 0.0038772621 0.0038362779 0.003927243 0.0038525215 0.0037802993 0.0038237826 0.0040344517 0.0037805492 0.0038522717 0.0037428136 0.0038420255 0.0039095 0.003892756 0.0038637673 0.0038925062 0.0039052514 0.003952233 0.003969227 0.0039569815 0.0041076737 0.0038422756 0.0038107876 0.0039394884 0.0038195343 0.0039259936 0.003914748 0.0038637673 0.0038587693 0.003913748 0.0037982925 0.003807039 0.0037930445 0.0039227447 0.003885009 0.003926243 0.0039040018 0.0038500226 0.0038365277 0.003929492 0.0038560203 0.003937989 0.003887508 0.0038997536 0.0038182847 0.0038432751 0.0037957933 0.00398772 0.00388276 0.0038185345 0.003947735 0.0039704763 0.0038277812 0.003872514 0.0038652667 0.0038720141 0.00393499 0.0039717257 0.0039027524 0.0039052514 0.00393549 0.0038920064 0.0038877581 0.0038747631 0.003927243 0.0039309915 0.0039964663 0.00409143 0.003890257 0.0038237826 0.003967977 0.003953483 0.0041131717 0.003989969 0.0038537711 0.003942737 0.0039389883 0.0039392384 0.0039177467 0.0038545209 0.003949984 0.003932741 0.0039517335 0.0039987154 0.0039109993 0.0038807609 0.0038295304 0.0039179963 0.0038110374 0.0038817604 0.0037932943 0.003910749 0.0038785117 0.004010961 0.003895755 0.004385817 0.0038342786 0.003992968 0.0038297803 0.0039072507 0.0037830484 0.003877512 0.003843775 0.0038742633 0.0038162854 0.0038320294 0.00383053 0.0039142477 0.0037530598 0.0038397764 0.0037842977 0.0038767622 0.003757808 0.0038652667 0.0039172466 0.003901253 0.0038317796 0.0038527716 0.0037812989 0.0038787615 0.0038195343 0.0038132865 0.003794044 0.0038287807 0.0037917949 0.0038115373 0.003875013 0.0039384887 0.003784048 0.003864017 0.0038577695 0.0039874697 0.0038577695 0.003841026 0.0038925062 0.0038442747 0.0038087885 0.0038627677 0.0038767622 0.0038807609 0.0038512722 0.0038760125 0.003822783 0.00390825 0.0039109993 0.0038882578 0.00393574 0.004004963 0.004049696 0.003932241 0.003817535 0.003994967 0.0038915067 0.0039177467 0.0038345286 0.003994717 0.003877512 0.003906251 0.003817535 0.0038365277 0.0038862587 0.0038412758 0.0038877581 0.003965978 0.003947735 0.0038990038 0.0038925062 0.00383078 0.0038327791 0.003833279 0.0038727638 0.0039132484 0.0038742633 0.0039309915 0.0038680157 0.0039229947 0.003920995 0.0038565202 0.003892756 0.0039649783 0.0039622295 0.0038762626 0.00390925 0.0039224946 0.0038897572 0.0038590191 0.0038795113 0.0039127483 0.0041526565 0.0038820102 0.0039109993 0.0039442363 0.0039142477 0.003918746 0.003849023 0.003945236 0.003999465 0.0039404877 0.0038867583 0.003968727 0.003992218 0.0039057513 0.003872514 0.004030953 0.0040479465 0.003984471 0.0039299917 0.0039509838 0.004098677 0.0039372393 0.0040714378 0.0049056173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00047065513 7.7504965e-06 2.4126544e-05 9.125584e-06 2.8251809e-05 1.0875696e-05 0.0001141323 5.8378737e-05 1.27508165e-05 8.12552e-06 1.750112e-06 1.125072e-06 4.8753122e-06 1.625104e-06 2.125136e-06 1.2375792e-05 0.00035077246 3.250208e-06 6.0878898e-05 9.3756e-06 4.2377713e-05 2.1376369e-05 0.00017688631 9.413102e-05 5.00032e-07 1.000064e-06 8.75056e-07 1.000064e-06 6.2504e-07 3.000192e-06 1.25008e-06 7.50048e-07 0.0004792807 5.1253282e-06 9.6006144e-05 2.8251809e-05 3.700237e-05 2.1501377e-05 0.00015901017 8.250528e-05 8.000512e-06 5.1253282e-06 3.8752482e-06 4.1252642e-06 7.3754723e-06 2.81268e-05 2.3501505e-05 3.5252255e-05 0.0002798929 9.875632e-06 4.925315e-05 2.1001344e-05 4.1377647e-05 2.5876656e-05 0.00012838321 7.275466e-05 2.6751712e-05 1.7001088e-05 4.1252642e-06 2.875184e-06 2.7751776e-05 8.625552e-06 1.32508485e-05 3.925251e-05 0.00045727927 7.875504e-06 5.825373e-05 5.0878258e-05 6.600423e-05 2.2376433e-05 0.00015188473 9.275594e-05 4.625296e-05 4.6127952e-05 9.500608e-06 1.87512e-05 6.7754336e-05 1.687608e-05 4.737803e-05 0.00012013269 2.7501761e-05 4.500288e-06 4.737803e-05 3.112699e-05 7.6254883e-06 6.000384e-06 6.325405e-05 3.8002432e-05 4.8753122e-06 4.000256e-06 3.250208e-06 3.250208e-06 4.000256e-06 3.1252e-06 4.6252962e-06 3.500224e-06 0.0005669113 6.2629006e-05 8.063016e-05 8.28803e-05 0.00019463745 0.00017638628 6.962946e-05 0.00011638245 0.00034727223 2.9001856e-05 3.1502015e-05 4.875312e-05 0.00020113787 7.775498e-05 0.00014475927 0.0003298961 0.0012522051 0.00017601126 0.00025576638 0.00023714018 0.00048690615 0.0004889063 0.00034964737 0.00039014997 0.00077542465 8.1880244e-05 9.863131e-05 0.00015926019 0.00047528042 0.00022526442 0.00039815047 0.0008058016 0.061027404 0.06136568 0.060965654 0.061588816 0.06122717 0.06139868 0.061481435 0.062078472 0.06145818 0.06127917 0.061367176 0.06182783 0.061671697 0.061896585 0.062099475 0.06318567 18454.0 5.8910804 108714.0 0.015407399 0.009603179 0.010596612 0.009777949 0.009823942 0.009961918 0.009336424 0.0098883305 0.009391614 0.010035506 0.00995272 0.009483599 0.009759553 0.010118292 0.010403444 0.010329857 0.009639973 0.009584782 0.0104218405 0.009722759 0.009658369 0.010532222 0.009851537 0.009685965 0.009501996 0.010559818 0.009860735 0.009787148 0.010026308 0.009925124 0.010311459 0.009410012 0.009805545 0.010440238 0.009989514 0.010219475 0.009768751 0.010881763 0.010440238 0.010293063 0.00995272 0.010523024 0.009511194 0.0096491715 0.009897529 0.010477032 0.009557187 0.010375849 0.010219475 0.009777949 0.010265467 0.01090016 0.010256269 0.009557187 0.009860735 0.010118292 0.009814743 0.010504627 0.009750354 0.009961918 0.010136689 0.009842339 0.010090697 0.010265467 0.009612378 0.011801608 0.010329857 0.011534853 0.011507258 0.0154901855 0.01036665 0.010237872 0.010670199 0.012316721 0.010228673 0.010256269 0.012178744 0.0106885955 0.012463897 0.013392939 0.011231304 0.009235241 0.012362713 0.013613702 0.014073624 0.011028938 0.0101550855 0.010394245 0.009823942 0.010256269 0.010504627 0.009777949 0.009704362 0.0094744 0.009612378 0.010219475 6.576802 1.0 2.0 0.0 54.0 4001535.0 81920.0 0.0 0.0 8.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1255684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.650114 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.5874844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3728.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20195854 0.01639232 0.008186939 0.008906177 0.0087336125 0.009703136 0.009956055 0.0043812967 0.014055452 0.006494225 0.003529012 0.002065506 0.0020128146 0.0035672132 0.0013093833 0.0076349955 0.007490094 0.0016637335 0.0009695233 0.0010156283 0.0013186043 0.003731874 0.00088258233 0.000986648 0.0053534545 0.0033419572 0.0008456983 0.0007429499 0.0010301184 0.0009734751 0.0008707267 0.0015214665 0.011823968 0.0011328668 0.0019166527 0.00082725624 0.016687391 0.00085623655 0.0005822409 0.00068630656 0.003933419 0.00060200016 0.000766661 0.0015939173 0.00084701553 0.0009800616 0.0012935759 0.0009550331 0.0064731482 0.0013291426 0.0018349808 0.0040361676 0.0018376154 0.0007627092 0.0007495363 0.0006915757 0.0030995763 0.0014200354 0.001964075 0.0033617164 0.0016492434 0.00067313365 0.0010775408 0.0021919657 0.0137314 0.0073649515 0.002083948 0.0038543819 0.0073438752 0.0049437783 0.0015504468 0.0017045694 0.06818805 0.007613919 0.0009550331 0.0016413396 0.010182628 0.0042469334 0.0012369325 0.0020997555 0.0053890212 0.0010617333 0.0013923724 0.002965213 0.0029704822 0.0037068457 0.002220946 0.0024396155 0.0028348016 0.0006402015 0.0006481052 0.0017058867 0.0034302154 0.0014174008 0.0011262804 0.0039992835 0.002803187 0.0054219533 0.0021274185 0.0041758 0.0038333053 0.0075506894 0.0035276946 0.0018903068 0.0027188803 0.0048041455 0.0006678645 0.0008970725 0.0043799793 0.0020141318 0.0046012835 0.0044629686 0.0047251084 0.0005585297 0.0055009904 0.005639306 0.0148392385 0.007114667 0.0015267356 0.0010617333 0.0028427055 0.0013739304 0.0006652299 0.0011328668 0.0017019348 0.0009840134 0.0007416326 0.00078510307 0.0060779625 0.001317287 0.00072845974 0.010199754 0.0025581713 0.0061477786 0.0006612781 0.000816718 0.0021023902 0.015839059 0.0017717511 0.034389094 0.0009260528 0.012476025 0.000559847 0.00050056906 0.004021677 0.0004887135 0.00044260843 0.0013423155 0.0008180352 0.0007692956 0.00047158875 0.00054403953 0.0010367049 0.00046105045 0.0004373393 0.00043338744 0.0010353876 0.0005664334 0.0005137419 0.0004887135 0.0019179699 0.00049529993 0.00050320366 0.00050320366 0.00059541373 0.0005348185 0.0006612781 0.0007916895 0.0015912827 0.0007324116 0.00095635036 0.0007139696 0.0007692956 0.000596731 0.0005914619 0.0005585297 0.001849471 0.00085887115 0.00058355817 0.0005361358 0.001468775 0.0005124246 0.0012237596 0.0014424293 0.001546495 0.0010090419 0.0010261666 0.0005637988 0.0007930068 0.00057301985 0.00060463476 0.00064547063 0.006085866 0.0022407053 0.0013607575 0.0048568374 0.0037713926 0.0005361358 0.0020773616 0.0047013974 0.0029520402 0.0025502676 0.0009932345 0.0023395019 0.024576625 0.00055326056 0.0013594402 0.001533322 0.003244478 0.0011526261 0.0014266218 0.0008918033 0.0005308667 0.00049793447 0.0006178076 0.0008246217 0.0017743856 0.0013409982 0.00080749695 0.0012869894 0.00067313365 0.0004070417 0.00082593894 0.0006876238 0.0020720924 0.00055326056 0.00050056906 0.0005888273 0.00070343126 0.00040045526 0.0005111074 0.00064415333 0.008005153 0.00292306 0.00134495 0.0028466573 0.003074548 0.0005611643 0.00052428024 0.00055062596 0.0029204253 0.00065732625 0.00087599584 0.00067313365 0.00083647727 0.0007376807 0.001481948 0.0009985035 0.0021695718 0.0022288496 0.0014727269 0.00080486236 0.0010590988 0.0010446087 0.002680679 0.031359334 0.004054054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012385187 5.9385557e-06 3.5631336e-05 2.4414063e-05 6.5983954e-06 3.2991977e-06 2.6393582e-06 3.2991977e-06 4.6188766e-06 3.9590373e-06 3.9590373e-06 3.2991977e-06 3.9590373e-06 3.2991977e-06 3.9590373e-06 3.9590373e-06 0.0047673406 7.060283e-05 0.00010623416 4.0250212e-05 8.7098815e-05 3.1012456e-05 1.8475506e-05 1.7155828e-05 2.1114865e-05 2.1114865e-05 1.6495987e-05 1.3196791e-05 2.5733741e-05 1.5836149e-05 3.2332136e-05 0.00012141047 0.025052788 0.00046782623 0.00037676838 0.00030154665 0.00057406037 0.00020718962 0.0001167916 0.00010821368 0.00015968116 0.00012536951 0.00016561973 0.00016430004 0.00011745143 0.00023622255 0.00030088684 0.0012550148 0.027818175 0.0008558119 0.001377745 0.00034443624 0.00065851986 0.0002890097 0.00026063662 0.0002619563 0.0003022065 0.00087692676 0.00021444785 0.00017089843 0.00025997678 0.00026591533 0.00025007917 0.0009283942 0.0071566193 0.00018607474 0.00029230892 7.5881544e-05 7.522171e-05 0.00012932855 0.00015242293 0.00014780405 0.00013064823 0.00024018159 0.0002936286 0.00010557433 6.994299e-05 7.786106e-05 9.105785e-05 0.00023490287 0.004387273 0.00011283256 0.00025073902 7.324219e-05 0.00037280933 0.00022764463 0.0004453917 0.00019267313 0.00025931693 6.994299e-05 5.542652e-05 0.00013790646 4.8828126e-05 3.2332136e-05 3.6951013e-05 5.3447002e-05 0.027867002 0.0011606577 0.0017835463 0.0010669605 0.0008835251 0.001031989 0.004531118 0.0030293232 0.0013968803 0.0005060969 0.00065851986 0.0008954022 0.00054370775 0.0003919447 0.000460568 0.0024414062 0.054464474 0.0031632707 0.004502085 0.0041543497 0.0043397644 0.0037498681 0.016544817 0.01040501 0.0016172667 0.0012068464 0.001143502 0.0017663904 0.0009495091 0.000888144 0.000995038 0.007677233 0.020899758 0.0009792019 0.0024288693 0.004983108 0.009766945 0.0065310914 0.01743692 0.008525787 0.001101932 0.00050939614 0.00051203545 0.000620909 0.0005430479 0.0007878484 0.0008168813 0.0019346495 0.014371305 0.0010366079 0.0010715794 0.001040567 0.0020210885 0.0013130807 0.0019273913 0.0014899176 0.0013335356 0.00097392313 0.0026459566 0.00088682433 0.0011692357 0.0007594753 0.0010623416 0.00068095437 0.016024863 0.0027376742 0.003448981 0.0019221125 0.010797614 0.0018713049 0.001348712 0.002442726 0.009134819 0.00070800784 0.00096930424 0.00086043077 0.006151684 0.0010900549 0.0017512141 0.0022540118 0.095053844 0.01937157 0.026621886 0.015598606 0.105577625 0.019755596 0.009279983 0.021773385 0.07862186 0.0063720704 0.0037115973 0.007539986 0.049773674 0.010375317 0.017585384 0.03190654 0.0022526921 0.00072186446 0.00092443515 0.0011494404 0.0014463683 0.00082216004 0.0013665276 0.000921136 0.0012207031 0.00037940772 0.0003068254 0.000337178 0.0010247307 0.00033123945 0.0007594753 0.00090068096 0.003391575 0.0018429318 0.0022262987 0.0023246147 0.0023081186 0.0019709407 0.0024387669 0.0018607475 0.0018673459 0.0018429318 0.0017921241 0.001718882 0.0018554687 0.0017070048 0.0016515783 0.0016331028 2835.0 27.408113 77702.0 0.031196108 0.0005147873 0.0020334097 0.00050191756 0.01823634 0.0002960027 0.00032174203 0.0008365293 0.0035005533 0.0005147873 0.00021878458 0.0016987979 0.0013641863 0.0033332475 0.00687241 0.0031402023 0.007914854 0.0057270085 0.0089444285 0.009034516 0.0038222955 0.002586806 0.0021363671 0.0014414043 0.0021492369 0.0032045508 0.013950734 0.0035391625 0.004980567 0.0011067926 0.004568737 0.014220999 0.06621451 0.026846156 0.0046588248 0.00889295 0.009163213 0.007554503 0.004530128 0.0013899256 0.01940748 0.008442511 0.00068209314 0.0004890479 0.00647345 0.0022908032 0.0027669815 0.007631721 0.008300944 0.00081078993 0.0020720188 0.012419242 0.006306144 0.017695813 0.015237703 0.008313814 0.0038609044 0.00050191756 0.0018661038 0.0014285346 0.0039381227 0.0025224576 0.0042856038 0.024491005 0.00072070217 0.044966668 0.014040823 0.03106741 0.022251679 0.058917403 0.009896785 0.010437312 0.0068852794 0.038248695 0.0024452396 0.0025996757 0.031376284 0.013963604 0.036009368 0.0334483 0.01700085 0.0006563538 0.034233354 0.041363157 0.0549278 0.01737407 0.006717974 0.0032431597 0.006306144 0.0033847264 0.0004890479 0.00019304523 0.00060487504 0.00018017554 0.00016730586 0.0004890479 5.6130652 0.0 26.0 0.0 3.0 759136.0 774144.0 1.0 3.0 195.0 1.0 1.0 1.0 1.0 0.0 1489171300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 440832.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 193536.0 0.0 0.0 0.0 0.0 28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -440832.0 0.0 37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2929742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6334844 0.0 0.0 0.0 0.0 5.825509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1469774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.241107 0.0 7.3296666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -8334.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 193510.0 0.0 0.0 0.0 0.0 27768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -440659.0 0.0 37324.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 166.0 639808.0 160.0 631036.0 37324.0 720896.0 27768.0 688128.0 11104.0 748032.0 3768.0 761856.0 56.0 448640.0 0.0 0.0 0.0 0.0 40.0 517472.0 112.0 517360.0 0.0 0.0 1616.0 446464.0 0.0 0.0 0.0 0.0