Input: 0.03557974 0.0016081167 0.00034212522 0.0003510948 0.00041772594 0.0003549389 0.00032803018 0.00017811013 0.00028958914 0.00030624692 0.0005484255 0.00014479457 0.00012685542 0.0005996802 0.00012813679 0.0003113724 0.0001832356 0.0022142038 0.0004433533 0.0001396691 0.00014095046 0.00032034196 0.0001793915 7.9444806e-05 0.00014095046 0.00014863868 0.00010635353 0.011794992 0.0010635353 0.00011916721 7.17566e-05 0.00010122806 0.003632678 9.097712e-05 0.00016145235 7.8163444e-05 0.0004625738 0.00022808349 7.6882076e-05 0.00010891627 0.00018579834 0.00010507217 0.00010891627 0.00017042193 0.00029727735 0.00036262712 0.0005971174 0.00017426604 0.00059199193 0.00025627358 0.027669858 0.00039209856 0.00016145235 9.7383956e-05 0.0001076349 9.353986e-05 0.0001832356 0.00021783254 0.00016529646 0.00013326226 0.00016401509 0.00015760824 0.0001755474 0.0002831823 0.004350244 0.0008367332 0.00028061957 0.00034212522 0.00055611366 0.00052023533 0.0002626804 0.00019733065 0.0017477858 0.00042541412 0.000117885844 0.000135825 0.0006381212 0.00030240283 0.0003715967 0.00034212522 0.0006176193 0.00022552075 0.00024474127 0.0004741061 0.00042028868 0.00035750165 0.00019220519 0.00017682876 0.00015632689 0.00014223183 0.00017042193 0.00014095046 0.00025499222 0.00021655117 0.00018964245 0.00035750165 0.00022295801 0.0016106794 0.00039209856 0.0009764023 0.0009520563 0.0026780588 0.00064837217 0.0004907639 0.0007701021 0.0015799266 0.00014095046 0.00028190092 0.0010340639 0.0008303264 0.0015376415 0.0017055006 0.0007611325 0.00025755496 0.0017772573 0.0015760825 0.0024538196 0.00506781 0.0009699955 0.054403037 0.001052003 0.00089439476 0.0006496535 0.00056508323 0.000630433 0.0009097712 0.0005971174 0.0012249877 0.0016017099 0.00077138346 0.00087261153 0.0009904974 0.001041752 0.00081495 0.0013159649 0.00053689315 0.00084314006 0.00089567614 0.0012941816 0.005680304 0.001090444 0.0014851054 0.00065477897 0.0014466643 0.00089055067 0.0016042726 0.001982276 0.0015440483 0.002211641 0.0015658316 0.00229493 0.0012583033 0.0022885231 0.002166793 0.0022372683 0.0021988272 0.00295996 0.0029868686 0.0025409525 0.0039863354 0.0038095068 0.0034161268 0.004938392 0.0057072127 0.0053266464 0.005211323 0.008594135 0.006499098 0.00645425 0.008340424 0.007460124 0.007220508 0.008986233 0.01080962 0.008312234 0.009268134 0.009780681 0.0064734705 0.008070055 0.007829158 0.0068771015 0.0058327867 0.0073396754 0.0068988847 0.005272829 0.005998083 0.0047077457 0.003956864 0.003468663 0.003211108 0.0032751763 0.0030842526 0.0035827046 0.002981743 0.0030701575 0.0029125493 0.0030432488 0.002908705 0.0030189028 0.003326431 0.0034020317 0.0035545146 0.0033943434 0.0030278724 0.0033136173 0.0029791803 0.0029535529 0.0027921007 0.0028792336 0.0028190094 0.002663964 0.0025858004 0.0026075835 0.0026344925 0.002341059 0.0025550476 0.0023423405 0.002647306 0.0025050743 0.002734439 0.0028215721 0.0029791803 0.0031508836 0.0031085985 0.0036173016 0.0032610812 0.0034904461 0.0032790203 0.0039030465 0.0034955717 0.0038594801 0.0038031 0.0043194913 0.0042861756 0.0040734685 0.004182385 0.0044155936 0.0043694647 0.0045257914 0.004670586 0.004696213 0.004916609 0.0048999507 0.0052228556 0.005197228 0.007745869 0.009131027 0.00766258 0.0062774215 0.006504223 0.008073899 0.008332735 0.009975449 0.01429494 0.025890037 0.25354555 0.0076585086 0.0 0.0 0.0026075887 0.0 0.0 0.0 0.0 0.00024638633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013345926 3.8497865e-06 4.4914177e-06 0.0012184575 2.5665242e-06 0.0 2.5665242e-06 0.0 3.9139497e-05 0.0 1.2832621e-06 0.0 6.4163106e-07 0.0 0.0 2.0532194e-05 0.0012473308 7.699573e-06 1.2832621e-06 0.0019454254 1.2832621e-06 2.5665242e-06 1.9248932e-06 0.0071695857 8.0845515e-05 2.5665242e-06 1.9248932e-06 3.2081555e-06 5.1330485e-06 3.2081555e-06 3.2081555e-06 3.5289708e-05 0.00048378983 0.0019017945 3.6572972e-05 0.008295006 4.0422758e-05 0.00017131549 1.2832621e-06 0.02494405 5.325538e-05 1.2832621e-06 1.2832621e-06 1.0907728e-05 4.74807e-05 3.8497865e-06 2.0532194e-05 0.000780865 0.002838576 0.0011048887 5.6463534e-05 0.006412461 5.6463534e-05 0.00016810735 1.6682408e-05 0.014499579 0.00019313095 1.9248931e-05 1.0907728e-05 2.1173826e-05 5.389701e-05 9.624466e-06 2.8873399e-05 0.0007911311 0.00011292707 0.0010105689 5.261375e-05 0.0065157637 6.544637e-05 0.00016169103 3.8497865e-06 0.00739159 5.838843e-05 5.7746797e-06 1.9248932e-06 1.2832622e-05 7.0579415e-05 4.4914177e-06 3.1439922e-05 0.00026884343 8.6620195e-05 0.005034879 9.1753245e-05 9.560303e-05 9.8169556e-05 6.6088e-05 5.0688854e-05 5.838843e-05 4.4914177e-05 0.00081166334 0.005626463 0.0036932286 0.0015103995 0.0009399895 0.002354786 0.029370662 0.0032703937 0.00306443 0.0023573525 0.0002726932 0.0005870924 0.00035161382 0.006210989 0.0030323486 0.00027205158 0.0026518612 0.00890199 0.005570641 0.0024170242 0.001779243 0.0043919645 0.04291036 0.0070746243 0.0019858482 0.0011048887 0.0009027749 0.0043348595 0.0010246849 0.0025190436 0.0054647718 0.00474807 0.0038209131 0.027101213 0.029539412 0.012454059 0.009475607 0.014044021 0.15430008 0.0050226883 0.0007013028 0.0014090218 0.001111305 0.0026563527 0.00093421486 0.004180868 0.004021102 0.002685226 0.0040769237 0.021612702 0.018545063 0.008912898 0.009557095 0.017262442 0.07076678 0.00094063114 0.00012768459 8.341204e-06 4.2347652e-05 0.00024895286 0.00016104941 0.0010843566 0.004735879 0.008216086 0.019309888 0.041048348 0.031554773 0.020181865 0.018120304 0.02303199 0.07166056 0.003412194 0.000619174 0.00032338206 0.00024061165 0.00041577694 0.00023034555 0.0005672019 0.001226157 0.0022065693 0.0034134774 0.005563583 0.002447181 0.0028770738 0.0026897176 0.0014032471 0.009158 0.002579357 0.00049662247 0.00014565025 9.1753245e-05 0.00021366315 0.00020724683 0.00018735627 0.00027782624 0.00030734128 0.00023997002 0.00025472755 0.00027910952 0.0003079829 0.00034070612 0.00032787348 0.0016271764 0.0037798486 0.0006980946 0.0007128521 0.0004170602 0.0022341595 0.00044336708 0.00017452365 0.000528704 0.00183314 0.00018799791 0.00013410089 0.00026948506 0.0012498973 0.00029386702 0.0005222877 0.00097527925 0.0009958114 0.00037407092 0.00038754518 0.0005415366 0.0003176074 0.00029065888 0.0006538221 0.0003901117 0.00023612024 0.00014693351 0.00017003223 0.00016425755 0.00015784125 0.00012896785 0.00013987557 0.00016104941 0.00023291208 8.341204e-05 8.2770406e-05 0.0001135687 9.0469985e-05 7.3145944e-05 0.00012447643 8.5336935e-05 8.4053674e-05 4.170602e-05 5.1330488e-05 4.8763963e-05 5.0047223e-05 3.8497863e-05 5.1330488e-05 6.2238214e-05 1279.0 66.48397 85033.0 0.029588513 5.8800702e-05 0.00055272656 5.8800702e-05 0.00054096646 2.352028e-05 2.352028e-05 0.00023520281 0.00030576365 0.0003528042 2.352028e-05 9.408112e-05 0.0016228993 0.0024461092 0.003610363 0.0006585679 0.0017993015 0.0010819329 0.25210214 0.0012112944 0.00016464197 0.00019992239 0.00018816224 2.352028e-05 0.00015288182 0.00062328746 0.00039984478 0.00015288182 0.00025872307 0.00019992239 0.00015288182 0.00051744614 0.0013171358 0.003516282 0.0008232098 0.0014817776 0.0015288183 0.0020109839 0.0012348148 0.00077616924 0.0017287406 0.0016464196 0.00010584126 0.000117601405 0.0022932272 0.0010819329 0.0013876966 0.0017875413 0.0020933049 0.0008232098 0.0010701728 0.0026225112 0.0021873862 0.001176014 0.00077616924 0.00050568604 0.00047040562 0.0004116049 0.0004939259 2.352028e-05 0.0007879294 0.0005292063 8.2320985e-05 0.0011172133 2.352028e-05 0.0128773535 0.0018698623 0.006962003 0.0066679996 0.021768019 0.003610363 0.002681312 0.005292063 0.012630391 0.00019992239 0.00071736856 0.007279527 0.0055860667 0.01179542 0.013335999 0.0041278093 0.00015288182 0.012336387 0.009760916 0.014723696 0.005480225 0.0030811566 0.495243 0.00085849024 0.003281079 0.00012936154 1.176014e-05 3.528042e-05 1.176014e-05 3.528042e-05 0.0 2.8065138 1.0 14.0 0.0 3.0 780416.0 794624.0 1.0 4.0 121.0 1.0 1.0 1.0 0.0 0.0 1540911200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 12288.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10240.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 748544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3163967 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5125313 0.0 0.0 0.0 0.0 4.043175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7583497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1232424 0.0 5.8414407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -92.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9868.0 0.0 0.0 0.0 0.0 732.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11908.0 0.0 748376.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 208.0 21584.0 320.0 21792.0 748376.0 40960.0 732.0 36864.0 6272.0 774144.0 92.0 790528.0 84.0 18768.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 18864.0 0.0 0.0 1088.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.0069245086 0.003649343 0.0032493907 0.0031738442 0.0036075702 0.003391596 0.0033249373 0.0033853746 0.0035453555 0.0031142957 0.003207618 0.003113407 0.0035853507 0.0031142957 0.0031116293 0.0034147045 0.0034680313 0.0030138632 0.0029712017 0.003039638 0.0031836207 0.0031578462 0.0031889535 0.0030689677 0.0031765106 0.003002309 0.0029134308 0.0029258737 0.0030787445 0.0028974328 0.0030085305 0.0030814107 0.0035106929 0.0031071855 0.0031907312 0.003203174 0.0038519856 0.0027623377 0.0028307738 0.0028272187 0.0029525373 0.0029543147 0.0029516483 0.0028343291 0.0028778794 0.0028921 0.0029667576 0.002924096 0.002970313 0.00299431 0.0029400943 0.0029347616 0.0032671664 0.0040332973 0.00501718 0.011883918 0.019041287 0.02289594 0.026537284 0.028009998 0.019454572 0.0093526635 0.0037995474 0.004649224 0.0032991625 0.002912542 0.0028165535 0.0027418956 0.0030796332 0.0044021425 0.0028112207 0.002797 0.0027490058 0.002728564 0.002822775 0.0028334402 0.002879657 0.0029632025 0.003035194 0.0027134547 0.0028725467 0.0028441057 0.002765004 0.002777447 0.0027232312 0.0028396617 0.0026974564 0.0027312303 0.002716121 0.0027223425 0.0028245524 0.0027427843 0.0028316628 0.002982756 0.0028929887 0.002678792 0.0026930126 0.0026743482 0.0027303414 0.002645907 0.0026610163 0.0028769907 0.0026974564 0.0030138632 0.002691235 0.002708122 0.0027045668 0.0026690154 0.0029472045 0.0026654603 0.002744562 0.0029063204 0.0027925563 0.002539253 0.0026699041 0.002642352 0.002797889 0.0026654603 0.0027294527 0.0027178985 0.002629909 0.0026219098 0.002613022 0.0025294765 0.0025588062 0.002666349 0.0025774708 0.0025952465 0.0034262585 0.0033569336 0.0031676227 0.0036031264 0.0031898422 0.0033516008 0.003211173 0.0032547235 0.0031818433 0.0039915247 0.0032796094 0.004972741 0.003084077 0.0032751653 0.0030609688 0.003179177 0.0033142718 0.0030369717 0.0030538584 0.00316229 0.0031836207 0.0029889774 0.0028405506 0.0029747568 0.0029774231 0.0029765344 0.0029560924 0.0030698567 0.0031365154 0.0030494146 0.003097409 0.0030565248 0.0029196523 0.0028929887 0.002818331 0.002924096 0.0030183073 0.0028992102 0.0029072093 0.002920541 0.0029489822 0.0029098757 0.0031756219 0.0028992102 0.0029392054 0.0029178746 0.0029160972 0.0029089868 0.0029463158 0.00295787 0.003052081 0.0030654126 0.0031107406 0.003699115 0.0050802836 0.010879593 0.019268816 0.02292438 0.026867023 0.027561162 0.020154044 0.008470102 0.0043754787 0.002757005 0.002982756 0.0029774231 0.0029552036 0.0029756455 0.0027827797 0.0029214297 0.0030040867 0.0031800657 0.002891211 0.0027338965 0.0028494385 0.002678792 0.002699234 0.0027196761 0.0027667815 0.0027907786 0.0028707692 0.0028156645 0.0027454507 0.0027552273 0.002982756 0.0027498947 0.0026023567 0.0026734592 0.0028414393 0.0028992102 0.002809443 0.0029632025 0.0030183073 0.0033036065 0.0028761018 0.0028769907 0.0030076418 0.002646796 0.0027667815 0.0026272426 0.0026805697 0.0027365629 0.0026450183 0.0026281313 0.002936539 0.0027712255 0.002613022 0.0028449944 0.002859215 0.0026610163 0.0028645478 0.0026396855 0.0027507835 0.0026441296 0.0025552511 0.0026672378 0.0028601037 0.0026530174 0.0025605839 0.0027543386 0.002765004 0.0026236875 0.0026263539 0.0027498947 0.0028316628 0.0027187872 0.0027258976 0.0032307263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0002612772 4.4510597e-07 0.00010504501 1.3353179e-05 3.427316e-05 2.4480829e-05 0.0002964406 0.00016780494 4.4510597e-07 2.22553e-06 4.4510597e-07 1.335318e-06 0.0 0.0 4.4510597e-07 3.5608477e-06 0.00047848892 3.6053585e-05 4.3620385e-05 1.780424e-05 2.091998e-05 2.4925934e-05 4.6736128e-05 2.4925934e-05 7.388759e-05 5.7863776e-06 8.90212e-06 1.0237437e-05 3.427316e-05 1.2462967e-05 2.98221e-05 4.2730175e-05 7.922886e-05 8.145439e-05 0.00015712241 0.00093472254 8.056418e-05 9.258204e-05 7.789354e-05 7.833865e-05 8.679566e-05 8.412503e-05 0.00011973351 0.00051053654 8.100929e-05 8.94663e-05 8.23446e-05 9.881353e-05 0.0028954144 0.0016598002 0.0022833936 0.008863395 0.002881171 0.00184808 0.0016914026 0.0016700376 0.0030810235 0.0020710782 0.002318557 0.006741575 0.0024850266 0.002083986 0.0016308683 0.0013740421 0.015966397 0.013205849 0.01327306 0.042482693 0.013259707 0.011985368 0.011642192 0.010822752 0.014753037 0.01297929 0.011881659 0.044889826 0.012170533 0.012919646 0.0119813625 0.011967119 0.033878796 0.03125089 0.029891538 0.10761193 0.028683074 0.028117344 0.027606808 0.027015707 0.033572562 0.030887239 0.02988575 0.105583586 0.028622985 0.02811957 0.027740784 0.02778485 0.0030302815 0.0029430406 0.002885622 0.0098297205 0.0026532768 0.0025606947 0.002667075 0.0025727125 0.0030516465 0.0028678179 0.002721823 0.009596485 0.0025313178 0.0025749381 0.0024774598 0.002465442 5485.0 7.6371922 41890.0 0.013726426 0.007758415 0.007257102 0.0075435666 0.007280974 0.006755789 0.0065409406 0.006684173 0.007686799 0.0071854857 0.00723323 0.0074003343 0.00723323 0.0074242065 0.00933397 0.008235856 0.008307472 0.008498448 0.0076151825 0.0078777755 0.008450705 0.0101456195 0.011625687 0.019909287 0.043781333 0.05263786 0.059703987 0.06774887 0.049510624 0.022964908 0.009071377 0.015874911 0.0069945096 0.007853903 0.006875149 0.0070899976 0.006660301 0.007901647 0.007209358 0.006827405 0.006660301 0.007901647 0.0075674383 0.007304846 0.0076151825 0.008450705 0.008999761 0.00723323 0.0074242065 0.006803533 0.006708045 0.007925519 0.0069467654 0.006922893 0.006922893 0.00711387 0.006158988 0.006373836 0.007280974 0.006922893 0.006827405 0.006755789 0.007925519 0.006875149 0.0064215804 0.008952017 0.007448078 0.0069467654 0.007782287 0.010217235 0.0074958224 0.0075196945 0.007376462 0.008904273 0.0066125565 0.006708045 0.009644306 0.00711387 0.008832657 0.008188112 0.008259728 0.006158988 0.009811411 0.007973263 0.009047505 0.0076151825 0.00735259 0.006899021 0.0058963955 0.007662927 0.0063977083 0.0060157557 0.0064215804 0.0065648127 0.0054428265 0.006278348 6.1654525 0.0 0.0 0.0 24.0 1125134.0 1536000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1007762370.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 25600.0 1024.0 4096.0 11.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1464320.0 0.0 0.0 0.0 0.0 0.0 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 0.0 512.0 0.0 0.0 -25600.0 -1536.0 1024.0 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 7.5922303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2483733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -916.0 0.0 0.0 -44.0 0.0 0.0 0.0 0.0 0.0 1464052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1060.0 0.0 0.0 -28.0 0.0 0.0 0.0 0.0 0.0 167.0 0.0 0.0 -25444.0 -1288.0 920.0 0.0 0.0 0.0 -36.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167.0 1507328.0 1288.0 1511424.0 920.0 1523712.0 0.0 0.0 7592.0 1497112.0 916.0 1527808.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1519620.0 0.0 0.0 0.0 0.0 176.0 1511680.0 0.0 0.0 0.0 0.0


Input: 0.43180338 0.022623697 0.0053710938 0.0026041667 0.0037434895 0.0017903646 0.0026041667 0.0016276041 0.0026041667 0.00032552084 0.0014648438 0.00081380206 0.0006510417 0.0006510417 0.0014648438 0.00032552084 0.0026041667 0.00048828125 0.0006510417 0.00032552084 0.00032552084 0.0006510417 0.0013020834 0.0006510417 0.00032552084 0.0009765625 0.00048828125 0.0013020834 0.00032552084 0.0 0.0006510417 0.00081380206 0.0056966147 0.0050455728 0.00032552084 0.009928386 0.0017903646 0.0009765625 0.00390625 0.00048828125 0.0021158855 0.00081380206 0.00048828125 0.00016276042 0.0013020834 0.0 0.031901043 0.0009765625 0.009928386 0.0026041667 0.0017903646 0.0011393229 0.0013020834 0.0006510417 0.00048828125 0.0013020834 0.0006510417 0.00048828125 0.00016276042 0.00016276042 0.00048828125 0.00048828125 0.00048828125 0.00016276042 0.0016276041 0.007486979 0.006184896 0.002766927 0.0022786458 0.008951823 0.0016276041 0.001953125 0.00081380206 0.011881511 0.00016276042 0.00048828125 0.0011393229 0.0026041667 0.0016276041 0.0009765625 0.0068359375 0.00016276042 0.0024414062 0.0037434895 0.0050455728 0.011230469 0.0014648438 0.00032552084 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.00016276042 0.0 0.00048828125 0.0013020834 0.013671875 0.0034179688 0.0048828125 0.011230469 0.041015625 0.0011393229 0.017089844 0.0014648438 0.040852863 0.0 0.0014648438 0.014811198 0.0068359375 0.049641926 0.012369792 0.0026041667 0.00016276042 0.024414062 0.011881511 0.0320638 0.0087890625 0.0024414062 0.0009765625 0.00032552084 0.014160156 0.00081380206 0.0 0.00016276042 0.0 0.00032552084 0.00016276042 0.0011393229 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.00016276042 0.0 0.00016276042 0.00016276042 0.00032552084 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.00032552084 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.00032552084 0.00016276042 0.0 0.0 0.00032552084 0.0 0.0 0.0 0.0 0.00016276042 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 0.00016276042 0.00048828125 0.00032552084 0.0 0.00016276042 0.0 0.0 0.00016276042 0.0 0.00016276042 0.00016276042 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.00016276042 0.0 0.00032552084 0.00016276042 0.0 0.0 0.0 0.00048828125 0.00016276042 0.0 0.0 0.0 0.00016276042 0.0 0.00016276042 0.0 0.0 0.00016276042 0.00016276042 0.0 0.0 0.0 0.00032552084 0.0 0.00016276042 0.0 0.00032552084 0.0 0.0 0.0 0.00016276042 0.00016276042 0.0 0.00016276042 0.00032552084 0.0 0.00016276042 0.0 0.00016276042 0.00016276042 0.0 0.00016276042 0.0 0.0 0.0 0.0 0.00016276042 0.0 0.00032552084 0.0 0.00016276042 0.0 0.00016276042 0.00016276042 0.00016276042 0.0 0.00032552084 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.16523437 0.00068359374 0.0028320313 0.0014648438 0.00390625 0.0024414062 0.01669922 0.005761719 0.00029296876 0.0 0.0 0.0001953125 0.0001953125 0.0 9.765625e-05 0.0001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.1883789 0.0060546873 0.029199218 0.007714844 0.020214844 0.012792969 0.08642578 0.04111328 0.0012695312 0.00078125 0.00078125 0.001171875 0.001171875 0.00068359374 0.0010742188 0.001171875 0.06171875 0.005761719 0.0375 0.015917968 0.034960937 0.02236328 0.15107422 0.06777344 0.000390625 0.000390625 0.00048828125 0.00029296876 0.00048828125 0.0001953125 0.000390625 0.00029296876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96.0 25.666666 2464.0 0.0048701297 0.010146104 0.0008116883 0.0012175324 0.0020292208 0.0008116883 0.0 0.0 0.0 0.0 0.0 0.0 0.0016233766 0.0 0.050324675 0.0024350649 0.020698052 0.006087662 0.004464286 0.0016233766 0.0016233766 0.0016233766 0.0008116883 0.0020292208 0.0008116883 0.0008116883 0.0 0.0 0.00040584416 0.0012175324 0.00040584416 0.0 0.00040584416 0.018262986 0.013798702 0.0040584416 0.0048701297 0.020698052 0.0012175324 0.0040584416 0.0008116883 0.026785715 0.0 0.00040584416 0.00040584416 0.005275974 0.0020292208 0.00040584416 0.014610389 0.0 0.005275974 0.006899351 0.009334415 0.027191559 0.0012175324 0.0008116883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00040584416 0.00040584416 0.028409092 0.008116883 0.009334415 0.024756493 0.09334416 0.0016233766 0.039366882 0.0032467532 0.09293831 0.0 0.0028409092 0.03125 0.013392857 0.11525974 0.025162337 0.004464286 0.00040584416 0.054383118 0.026785715 0.07548701 0.020292208 0.006087662 0.0024350649 0.0008116883 0.032873377 0.00040584416 0.0 0.0 0.0 0.0 0.0 4.827556 0.0 0.0 0.0 1.0 6144.0 32768.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 4096.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.177337 0.0 2.547039 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3716.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 11820.0 1024.0 16384.0 0.0 0.0 0.0 0.0 12.0 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 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.11532738 0.004555354 0.0021449497 0.0015704442 0.0024850029 0.0008215526 0.00082833425 0.0013156467 0.0017564562 0.0016072592 0.0005134704 0.00036911736 0.0011209155 0.0009426541 0.0007537357 0.0015704442 0.0013824947 0.00053672184 0.00034489707 0.0006500729 0.00083414715 0.000773112 0.00054253475 0.00064232235 0.0007372659 0.0003235832 0.00033327134 0.00020441934 0.00069463823 0.0002509223 0.0003313337 0.00030323816 0.0027456132 0.00034974114 0.0004446847 0.0002644857 0.00281343 0.0011616056 0.0005095951 0.00060841395 0.0006549169 0.00033036488 0.00020538815 0.0005493164 0.0002741738 0.0002819243 0.00038364955 0.00017826141 0.0009116521 0.0016159784 0.0009600927 0.0017477368 0.0005793496 0.0006839813 0.00039043123 0.0036940803 0.0025993227 0.0003158327 0.0003700862 0.0026671395 0.00037493024 0.0002751426 0.0003700862 0.00043209016 0.001741924 0.0022408622 0.005385626 0.00085158576 0.0019027467 0.0012546115 0.0007876442 0.0009426541 0.00068204367 0.0005144392 0.00019666884 0.0002257332 0.00085255457 0.0010327536 0.00053962826 0.00053575303 0.0022699265 0.0008699932 0.0011306036 0.0021459186 0.00066460506 0.0008360848 0.0016043527 0.0014551557 0.00057547435 0.00033327134 0.00030905104 0.00057741196 0.00041755798 0.00048149956 0.0010007828 0.0007014199 0.0005967882 0.0011344788 0.00035070995 0.0006684803 0.0013621497 0.0020393492 0.0011945452 0.0064493814 0.005932036 0.000870962 0.0015161908 0.00021313864 0.0010899135 0.0004931253 0.0008922758 0.0017099532 0.001308865 0.0007324219 0.0010608492 0.004332527 0.0024811276 0.0019453745 0.0058971588 0.052602615 0.010479639 0.0019502186 0.00031195747 0.0039605033 0.005209302 0.00029258122 0.0036650158 0.00092327787 0.002937438 0.00062488375 0.00067332434 0.005364312 0.0011412605 0.0011315724 0.004788838 0.010388571 0.0040108818 0.0035933238 0.0007188585 0.008218432 0.004019601 0.0015268477 0.0013979957 0.001335023 0.0066198925 0.00039140004 0.0002993629 0.000468905 0.00060744514 0.00031970796 0.00048828125 0.0019201854 0.002091665 0.014062306 0.00031970796 0.00043402778 0.00040786984 0.00032648965 0.00034199064 0.00034877233 0.00057063025 0.0006510417 0.00054641 0.00030905104 0.00044759116 0.00048149956 0.0002644857 0.00023735894 0.00048149956 0.00024607824 0.0003797743 0.000257704 0.00027998668 0.0002644857 0.00088258774 0.0003235832 0.00042240202 0.00030905104 0.00033617776 0.0004601857 0.0006830125 0.00069560704 0.00037202382 0.0038277763 0.0014580621 0.00064910407 0.0004291837 0.00065976096 0.00040496342 0.00039140004 0.00059194415 0.0005812872 0.0023648702 0.0010414729 0.0010453481 0.0010734437 0.0010463169 0.00034974114 0.0008312407 0.0058419365 0.004198831 0.0011790443 0.0006626674 0.0006229461 0.026386565 0.0006878565 0.0010443793 0.0008002387 0.0010172526 0.0015733507 0.0007983011 0.00084867934 0.00086030504 0.0007837689 0.0007721432 0.009569925 0.0025402252 0.001706078 0.0013185531 0.0010782877 0.0016237289 0.0017613003 0.00198994 0.0009969076 0.0018252418 0.0009048704 0.0018126472 0.0014125279 0.0016460116 0.0010724749 0.0013640873 0.0043354337 0.004478818 0.0018494622 0.0011344788 0.0014386858 0.0018930587 0.0010414729 0.0015442864 0.0009804377 0.008293031 0.0021468874 0.0014154343 0.001675076 0.0023018974 0.0016770136 0.0021662635 0.0016460116 0.0029403444 0.0017719571 0.0020432244 0.00097171846 0.0026690771 0.002422999 0.003488692 0.4199674 0.020896692 2.9093223e-06 9.697741e-07 0.0 3.3942092e-06 6.7884184e-06 5.2852687e-05 0.00022207826 0.00028753802 0.00022692714 0.00020025835 5.8186444e-05 7.612727e-05 5.3822463e-05 8.97041e-05 0.2012577 4.8488702e-05 4.8488704e-07 9.697741e-07 0.0 3.151766e-05 3.297232e-05 7.758193e-05 0.0005207687 0.0009062539 0.00054404326 0.00046500668 0.00025262614 0.00034233026 0.0003481489 0.0004887661 0.08531442 0.0036468355 9.212854e-05 0.00010522049 1.5031498e-05 0.00011685778 9.067388e-05 0.000114433344 0.00014061724 0.0004858568 0.00031954056 0.00026280878 0.0004863417 0.0003442698 0.00032972317 0.00082527776 0.03929767 0.0025989946 1.6971046e-05 0.00013043461 7.612727e-05 6.206554e-05 7.2733055e-05 0.00011685778 6.642952e-05 0.00017019534 0.00016777092 0.00011782755 0.00022401781 0.000176014 0.00047082533 0.0010662666 0.015320491 0.0013431371 3.9760736e-05 5.3337575e-05 5.1882915e-05 5.042825e-05 3.7821188e-05 4.460961e-05 0.00018183264 0.00027590073 0.00085776515 0.00025165637 0.00032099523 0.004091962 0.0027507641 0.0024840764 0.02390687 0.0034441527 2.3759465e-05 1.794082e-05 4.5094494e-05 7.8551704e-05 8.534012e-05 0.00036802926 0.003309839 0.00059641106 0.010485197 0.0002768705 0.0002245027 0.01597121 0.0076301824 0.004295614 0.024646807 0.0040100156 0.00020365255 0.00019395481 0.00093001337 0.0003035393 0.00033699648 0.0018236601 0.016503131 0.00352028 0.0015012103 0.00016680114 0.0004300948 0.0030974585 0.0040158345 0.0028836231 0.009732168 0.020152874 0.00056925736 0.0010061406 0.0044439896 0.0023415196 0.0017514119 0.0073014293 0.03551119 0.012225457 0.0027948888 0.00025941458 0.0015826713 0.006042662 0.0008694025 0.0031027922 0.008287204 0.020741044 0.0007927903 0.001489088 0.0048852367 0.0015361222 0.001871664 0.005100527 0.02153238 0.007858079 0.003021816 0.0005639236 0.003095034 0.0036085295 0.0029602353 0.0019691263 0.016293174 0.007537569 0.0005731365 0.0005673178 0.00156667 0.001321802 0.0012146421 0.0029253236 0.010651029 0.0031076411 0.0006657499 0.0001832873 0.0005071919 0.0018139625 0.0008451581 0.001515272 0.0067122914 0.008966046 0.0006507184 0.00059689593 0.0014900579 0.001811538 0.00063520204 0.0016040063 0.003086306 0.0015283639 0.00081412535 0.00034717913 0.00057507603 0.0017189246 0.0016714056 0.0010885714 0.0071792374 0.00800694 0.0011419089 0.0009673496 0.00065459753 0.0020699827 0.0005091314 0.00088588864 0.0013082252 0.001910455 0.0006555673 0.00061580655 0.00078018324 0.0017024385 0.0022445421 0.0021902348 0.008120404 0.0037326606 0.00042912504 0.0006890245 0.00027832517 0.00097510783 0.0005595597 0.00071714795 0.00063083804 0.0016723754 0.00046743112 0.0002996602 0.00032632897 0.0015162418 0.0005454979 0.0011079669 0.0029345364 0.022974918 0.002369158 0.003322446 0.0017247432 0.005670754 0.004969607 0.0035348265 0.0019022118 0.011141734 0.0045239963 0.0010439618 0.0018576023 0.0053075734 0.002309032 0.003515916 0.005261509 0.008152406 0.0013358638 0.0019075456 0.0011137855 0.0026203296 0.0025005625 0.0011743964 0.0009974126 0.005523833 0.0017906878 0.0008567954 0.0008965561 0.0027017905 0.0015487293 0.001463874 0.0031512808 0.00069338846 0.0006434451 0.00069435826 0.000716663 0.0006987222 0.00070841995 0.00067835697 0.0006773872 0.0007113293 0.00063859625 0.0007108444 0.0006633255 0.0007113293 0.00067205343 0.0006730232 0.0006322927 7812.0 10.205581 79726.0 0.001555327 0.00045154654 0.00041391767 0.00026340215 0.001580413 0.0036625443 0.00041391767 0.003750345 0.0004640895 0.00022577327 0.00013797256 0.0017309284 0.00031357398 0.0003386599 0.0013295538 0.00028848808 0.0013546397 0.0032611694 0.0011288663 0.0035371147 0.003110654 0.005268043 0.0017183855 0.0295763 0.0123799015 0.0007149487 0.0002508592 0.028046058 0.00055189023 0.00042646064 0.0015678699 0.0013671826 0.002759451 0.0020319594 0.0019567017 0.005230414 0.005920277 0.0007274917 0.0020946742 0.007651205 0.0009908938 0.00076512055 0.00016305847 0.00023831624 0.0009658079 0.00042646064 0.0005895191 0.00055189023 0.0019190728 0.0010786945 0.0038256026 0.0069613424 0.0012793819 0.0010285227 0.007174573 0.010322856 0.0008403783 0.00032611695 0.00030103102 0.00087800715 0.00020068735 0.00041391767 0.0009783509 0.0011414093 0.00081529235 0.0052555003 0.00094072195 0.0033113414 0.0029225096 0.010586258 0.002182475 0.052053284 0.024722174 0.0017058426 0.00068986276 0.0004013747 0.0024333342 0.0014675263 0.0022201038 0.004941926 0.0052429573 0.0061335075 0.0041391766 0.032649323 0.010122169 0.010448285 0.045668915 0.43450066 0.064458266 0.008892958 0.00015051551 0.020093821 0.03039159 0.0002508592 0.02250207 0.0047914106 3.8738317 0.0 0.0 0.0 1.0 1032192.0 1114112.0 1.0 0.0 119.0 0.0 1.0 0.0 0.0 0.0 971294460.0 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 11.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 135168.0 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 -135168.0 0.0 851968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.508063 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4336104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3334956 0.0 3.9636059 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 33440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134722.0 0.0 929792.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 3.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -2.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 -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 -1.0 -1.0 0.0 1.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -2.0 2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 168352.0 851968.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 141376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2108.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.05669616 0.008301446 0.0061779167 0.005664126 0.005756318 0.0049607717 0.004207696 0.0054248404 0.005044677 0.0056216554 0.003749842 0.0044770213 0.0049514486 0.00316872 0.0043216413 0.004646904 0.005031211 0.0037705593 0.0049307314 0.004165225 0.0043485737 0.0031738994 0.004104109 0.003844106 0.005068502 0.0033572481 0.0031666483 0.0029356498 0.0041538305 0.0034411533 0.0037912768 0.0037933486 0.006166522 0.0038192451 0.0034856957 0.0030268063 0.0048975837 0.004165225 0.0038503213 0.003726017 0.004724594 0.0039010788 0.003334459 0.0030972452 0.0043713627 0.0037198018 0.0037301606 0.0035820315 0.005517033 0.0039508003 0.0031013887 0.0029035378 0.0036783672 0.0030703126 0.0026880773 0.0028621033 0.0041714404 0.003317885 0.0035219511 0.0033572481 0.0040046657 0.0032267286 0.0035126284 0.0034525478 0.006598479 0.0039425134 0.0036234662 0.0032215493 0.004152795 0.0032194776 0.0035426684 0.0030692767 0.004995991 0.0037778104 0.0037084073 0.00359239 0.0041217185 0.003129357 0.003560278 0.0034649784 0.0051710526 0.0036296814 0.0036607573 0.0033386024 0.0039280113 0.003373822 0.0033593199 0.0035364532 0.004643796 0.003641076 0.0038068148 0.0035115925 0.0041134316 0.0033872882 0.0036897617 0.0037881692 0.0059106625 0.0036296814 0.0033375665 0.0029542954 0.0040046657 0.0030485594 0.0032681634 0.0030309497 0.0049752737 0.0031645766 0.003200832 0.0030506311 0.0035747804 0.0028268837 0.0030817073 0.0031946169 0.0045008464 0.003286809 0.0032329438 0.003146967 0.0038917558 0.0033282437 0.0032930241 0.003625538 0.004621007 0.0032847372 0.0034805164 0.0031666483 0.004040921 0.003200832 0.0034743012 0.0033396382 0.008639139 0.0045992536 0.0040129526 0.0035209153 0.004361004 0.0034339023 0.003019555 0.003381073 0.0045308867 0.003834783 0.002964654 0.0031904734 0.003734304 0.0027978793 0.0028507086 0.0029770846 0.0052290615 0.0032029038 0.0034919109 0.003028878 0.0036607573 0.0031780428 0.0033023471 0.003262984 0.0045443526 0.0028382782 0.003036129 0.0027056872 0.0035188436 0.003223621 0.0029843356 0.0031521462 0.0050177444 0.003404898 0.0032671276 0.0028030586 0.0037778104 0.0030081605 0.0030537387 0.0031821863 0.0041362206 0.0029998736 0.0031158908 0.0030102322 0.0036452194 0.0028310271 0.0029170043 0.0030350932 0.0046738363 0.0031117473 0.0038409985 0.0028600316 0.003560278 0.0031480028 0.0029853715 0.0031231418 0.004251202 0.0031438593 0.0033375665 0.003185294 0.0036514346 0.0031966886 0.0033354948 0.0033448176 0.0067196754 0.0040678536 0.0037156583 0.003334459 0.004117575 0.0032546972 0.003310634 0.0032277645 0.004332 0.0033303155 0.003114855 0.0030796356 0.0036441835 0.0029874432 0.0030796356 0.0027927 0.004242915 0.003279558 0.0030931018 0.0030091964 0.003710479 0.0030278421 0.0029366857 0.0029480802 0.003978769 0.0031034604 0.0027160458 0.002635248 0.0035250587 0.0029429009 0.0035758163 0.0028890357 0.0049576643 0.0032329438 0.0033997186 0.0029719053 0.003811994 0.0030703126 0.003200832 0.0029107889 0.0044490527 0.005461096 0.0034701577 0.0031324648 0.0037912768 0.0030899942 0.0032505537 0.003200832 0.0046137557 0.0033168492 0.0034142209 0.0030402725 0.0037394834 0.0030951735 0.0033085623 0.0032433027 0.004352717 0.0030309497 0.0031894376 0.0028631391 0.00401606 0.0030972452 0.004222198 0.004516384 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099234216 0.062022097 0.062468346 0.055325743 0.06059254 0.059578095 0.05492308 0.05447216 0.06046852 0.053138595 0.052114293 0.052954387 0.05641594 0.050535813 0.056681618 0.0538142 4029.0 5.703152 22978.0 0.017190356 0.010444773 0.009400296 0.008660458 0.013404125 0.0124466885 0.011924449 0.011445731 0.012620768 0.009791975 0.008529898 0.0085734185 0.013882845 0.010531813 0.01183741 0.010009575 0.016711637 0.011924449 0.008791017 0.0075289407 0.009791975 0.008486378 0.00783358 0.008312299 0.010314214 0.008399338 0.009574375 0.008921578 0.0115327705 0.008965097 0.009661416 0.009226216 0.017973714 0.010879972 0.010357734 0.009095657 0.010879972 0.008791017 0.010618852 0.008312299 0.014187484 0.01161981 0.009704935 0.008965097 0.011445731 0.0093132565 0.01166333 0.009530855 0.014796762 0.009574375 0.010009575 0.009052137 0.01205501 0.009356776 0.009530855 0.009748455 0.013752284 0.009226216 0.010488293 0.009617896 0.011141092 0.009835495 0.010444773 0.010662373 0.017930195 0.011010532 0.009661416 0.008225259 0.013099486 0.008268779 0.009356776 0.008312299 0.0154060405 0.009269737 0.008878057 0.008703978 0.011358691 0.00800766 0.009922534 0.00783358 0.013230046 0.00796414 0.008660458 0.008965097 0.011489251 0.009487336 0.008268779 0.00796414 0.010879972 0.008834537 0.011967969 0.0085734185 0.011358691 0.009008617 0.010009575 0.008791017 6.55469 0.0 0.0 0.0 14.0 965374.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.18045978 0.009083028 0.0039760047 0.0045390227 0.0061732703 0.003388074 0.003074179 0.0031987405 0.00852001 0.0031588806 0.0031638632 0.002157406 0.0053611286 0.0025858977 0.0019481425 0.00582948 0.005112006 0.0018584583 0.002147441 0.0018435109 0.0025410554 0.00423011 0.0017887037 0.0016193001 0.0025958626 0.0016541773 0.001554528 0.0015894054 0.002461336 0.002147441 0.0016741072 0.0017787388 0.01074717 0.0016990195 0.0018684232 0.0017438616 0.0034179688 0.0019780374 0.001434949 0.0015146683 0.0027054767 0.0015694754 0.0015445631 0.0025061783 0.0020976164 0.0022022482 0.0024264588 0.0016890545 0.0033930563 0.0019082829 0.0017787388 0.004673549 0.0020079322 0.0022271604 0.0016691247 0.0017189493 0.0022022482 0.0027702488 0.0022819676 0.004274952 0.0023467394 0.0025510204 0.0019880023 0.0015445631 0.004479233 0.010981346 0.0015993703 0.0022470902 0.003054249 0.0073541137 0.0040108818 0.002386599 0.0026207748 0.0021125637 0.0019331952 0.0015047034 0.0025958626 0.004125478 0.0023317921 0.0019033004 0.005759726 0.002361687 0.00196309 0.0037816884 0.002665617 0.0028997927 0.0054956554 0.0042151627 0.0023915817 0.0069903936 0.0017239318 0.002192283 0.0022072305 0.0029595823 0.0028350207 0.002904775 0.001833546 0.005072146 0.0019680725 0.0030293367 0.0032037229 0.007219587 0.0031389508 0.0021972656 0.0048828125 0.005490673 0.0048329877 0.0016691247 0.0040208464 0.0030393016 0.005146883 0.004434391 0.0031489157 0.0016442124 0.0059939013 0.0051070233 0.010976363 0.010846819 0.0030990911 0.0026108099 0.002276985 0.0021075814 0.002276985 0.001499721 0.0024364237 0.0032485651 0.0019979673 0.002944635 0.0041155135 0.0025011958 0.001629265 0.0094318 0.0032037229 0.007877272 0.0025161433 0.0019581076 0.0036571268 0.008475168 0.002805126 0.014892578 0.0018036511 0.005381059 0.0017338967 0.002027862 0.0019481425 0.001434949 0.0020079322 0.0011957908 0.0018634407 0.0016840721 0.0016790896 0.0016442124 0.0017040019 0.0015644929 0.0016990195 0.0016043527 0.0015943878 0.0018086336 0.0027004944 0.0013751595 0.0014748087 0.0027303891 0.0023367745 0.0022271604 0.0018385284 0.001758809 0.0017737563 0.001489756 0.0018185985 0.0014598613 0.0015345982 0.0013004225 0.0015993703 0.0012605628 0.001554528 0.0014249841 0.0017388791 0.0013402821 0.0014100367 0.0013901069 0.0016741072 0.001888353 0.0027802137 0.00196309 0.001833546 0.0013054049 0.0015445631 0.001370177 0.0016990195 0.001833546 0.0019182478 0.001554528 0.0066814814 0.0036421795 0.0020926339 0.0046984614 0.0034777583 0.0015096859 0.0030941088 0.0032485651 0.002556003 0.002904775 0.0021773358 0.0015794403 0.0023915817 0.0013950893 0.0020079322 0.0016442124 0.0019232302 0.0018783881 0.0018734057 0.0017936862 0.0016790896 0.001370177 0.0021225286 0.001953125 0.0029595823 0.0017538265 0.0017936862 0.002137476 0.0020677217 0.001489756 0.0018684232 0.001629265 0.0030841439 0.0018086336 0.0018036511 0.0017338967 0.005276427 0.0023367745 0.0038066008 0.0035375478 0.012057558 0.0040507414 0.002556003 0.0057995855 0.0031240035 0.002869898 0.0027652662 0.0027004944 0.0045290575 0.0033083546 0.0027154416 0.002904775 0.0034677933 0.0026108099 0.0038763552 0.004060706 0.0059291297 0.0032983897 0.002805126 0.0032386002 0.006337691 0.0030492665 0.0060885684 0.05505122 0.035897437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004679988 2.754407e-05 2.754407e-05 3.2552085e-05 8.513622e-05 0.000102664264 2.754407e-05 2.754407e-05 1.7528046e-05 1.2520032e-05 2.0032052e-05 7.5120192e-06 2.2536058e-05 1.0016026e-05 1.0016026e-05 1.7528046e-05 0.009062 9.765625e-05 0.00010516827 8.012821e-05 9.5152245e-05 0.00029046476 0.00013772036 0.00017027244 9.014423e-05 9.264824e-05 6.7608176e-05 0.000115184295 0.00010016026 4.0064104e-05 0.00029296876 0.0045472756 0.017655749 0.0003054888 0.00020532853 0.0001953125 0.00035556892 0.00077373796 0.0001953125 0.00021534455 0.00023036859 0.00015775241 0.0001527444 0.00013772036 0.00016025642 0.00010767228 0.00042067308 0.004371995 0.008133013 0.00016025642 9.264824e-05 4.0064104e-05 0.0005083133 0.0003130008 0.00016526443 9.5152245e-05 9.5152245e-05 0.00010767228 0.00012520033 5.7592148e-05 7.5120195e-05 7.76242e-05 5.2584135e-05 0.00015775241 0.0123447515 0.00021534455 0.00020282452 0.00021284055 0.00047826522 0.00026041668 0.0012695312 0.00072365784 0.00040815305 0.00027794472 0.0004732572 0.00047826522 0.0005834335 0.00032051283 0.0015800281 0.010940004 0.0084385015 0.00047826522 0.00045072116 0.0002729367 0.00032301684 0.0003130008 0.000766226 0.000778746 0.0007461939 7.011218e-05 4.7576123e-05 6.510417e-05 6.510417e-05 5.508814e-05 9.5152245e-05 0.00241887 0.0063977363 0.0005308494 0.0037459936 0.00044571314 0.00052083336 0.00039563302 0.0052559096 0.002704327 0.00028295274 0.0 5.008013e-06 0.0 2.5040065e-06 1.2520032e-05 2.0032052e-05 0.0001928085 0.023242187 0.00065354566 0.004797676 0.0016701723 0.0029246795 0.0025090144 0.014766126 0.00841847 0.0025490785 0.00080879405 0.0007436899 0.00079126604 0.0013296274 0.0015274439 0.008498598 0.011949118 0.007815004 0.0003079928 0.0021183894 0.0006234976 0.0015049079 0.0010667067 0.0078125 0.0044145635 0.00034054488 0.000390625 0.0003455529 0.000385617 0.0004707532 0.00064853765 0.0025365585 0.005115685 0.0115434695 0.0009465144 0.0014598357 0.001209435 0.0005884415 0.0013396434 0.0019381009 0.0017803486 0.0012394831 0.0012570112 0.001189403 0.0012244591 0.0012144431 0.0016826923 0.0063676885 0.011172877 0.008633814 0.00067107374 0.00060096156 0.00064352964 0.000778746 0.00081380206 0.0009390024 0.0017452925 0.003545673 0.0008163061 0.000766226 0.0010341547 0.0016376202 0.0010016026 0.0015950521 0.0055463742 0.025565905 0.005010517 0.0039187702 0.0030248398 0.009375 0.0064853765 0.0030123198 0.006079728 0.016591547 0.0017753405 0.001572516 0.0021384214 0.005859375 0.0018229167 0.005063101 0.010396634 0.049053486 0.009435096 0.005957031 0.01333133 0.019971956 0.020810798 0.007491987 0.017367788 0.030746695 0.0041616587 0.0044871797 0.0034455128 0.015907953 0.0050305487 0.01511919 0.028963841 0.017342748 0.01776843 0.01745042 0.01755058 0.017753405 0.017896134 0.01745042 0.017738381 0.017357772 0.01756811 0.017558092 0.01732522 0.017680788 0.017933695 0.017763421 0.017913662 1111.0 14.683168 16313.0 0.090479985 0.0023907314 0.0044749584 0.0014099184 0.0025746338 0.0071108933 0.0012873169 0.0038619505 0.01299577 0.0020229265 0.0014099184 0.0039232513 0.0069269906 0.009869429 0.010359836 0.00459756 0.0039232513 0.0026359346 0.0025746338 0.007417397 0.0020842273 0.0020842273 0.0031876417 0.0016551217 0.0025746338 0.0023294305 0.0072947955 0.0024520322 0.0043523572 0.004658861 0.004291056 0.0011647153 0.0035554466 0.010605039 0.002513333 0.0051492676 0.0042297556 0.008030405 0.006252682 0.004291056 0.0033715442 0.0052718692 0.0056396737 0.00153252 0.006313983 0.0057009747 0.0050879666 0.0031876417 0.0072947955 0.0022681297 0.00613008 0.010421136 0.01072764 0.0032489426 0.01072764 0.007233495 0.0030037393 0.008091706 0.0016551217 0.0030037393 0.0051492676 0.0048427633 0.0017777233 0.0049040643 0.0019616256 0.044136576 0.0076626004 0.021761784 0.020229265 0.06479495 0.010421136 0.011218047 0.014283087 0.047875926 0.01072764 0.0034941458 0.028443573 0.014957396 0.041623246 0.036903083 0.0152026 0.002145528 0.04364617 0.038680807 0.0457304 0.017838534 0.01146325 0.011279347 0.00459756 0.008336909 0.009624226 0.0007356096 0.0022681297 0.0012873169 0.00153252 0.013547477 5.7035193 1.0 0.0 0.0 3.0 200704.0 208896.0 1.0 0.0 93.0 0.0 1.0 0.0 0.0 0.0 1271109800.0 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 7.0 10.0 4.0 0.0 4.0 0.0 73728.0 4096.0 4096.0 5.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2280183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4244578 7.8899465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.622335 0.0 5.9375157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17190.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14200.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70633.0 0.0 32560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 92824.0 32560.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 78208.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 92616.0 0.0 0.0 384.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.12602225 0.009840461 0.0075881486 0.007749028 0.009304197 0.0055235284 0.0053090225 0.0072395764 0.0076954016 0.0050677033 0.004719131 0.0057648476 0.006086607 0.005952541 0.004236493 0.005711221 0.006515619 0.0047727576 0.0043437458 0.004719131 0.0060597938 0.0041024266 0.0047459444 0.0036734147 0.004933637 0.0046386914 0.003163963 0.0038611074 0.0044509987 0.0035393485 0.0029762704 0.0031371498 0.0060061673 0.0036734147 0.003914734 0.0039683604 0.003914734 0.0030835234 0.0034320955 0.003485722 0.003592975 0.0027617642 0.0026545112 0.00412924 0.0038611074 0.0028690172 0.0037538544 0.0037270412 0.0045314385 0.002949457 0.0033248425 0.0043973722 0.0031907763 0.002734951 0.0033516558 0.0030030836 0.003914734 0.002413192 0.0025472583 0.004370559 0.0031907763 0.0036466015 0.0025472583 0.0025472583 0.004719131 0.004933637 0.0036734147 0.004585065 0.0040488 0.0039683604 0.0054430887 0.0040488 0.0036197882 0.0030567101 0.002734951 0.0034589088 0.0043437458 0.0037270412 0.0037270412 0.0023327523 0.0050677033 0.0028690172 0.0036197882 0.0039951736 0.0034052823 0.0034052823 0.0032444028 0.003807481 0.0030567101 0.0023327523 0.002413192 0.0029226437 0.0028690172 0.0023595656 0.0021718729 0.002413192 0.0035125352 0.004906824 0.0030567101 0.0042096796 0.005362649 0.005362649 0.0041024266 0.0030835234 0.0039951736 0.004370559 0.0035125352 0.0032980293 0.0056307814 0.0040488 0.0043437458 0.0042901193 0.0049872636 0.0017964875 0.007856281 0.0050945166 0.0063815527 0.005603968 0.003914734 0.0037806677 0.0028958304 0.0032444028 0.0019037405 0.0047727576 0.0028153907 0.0029226437 0.0030298969 0.003700228 0.006971444 0.0037806677 0.0030567101 0.006622872 0.0034589088 0.0027617642 0.002627698 0.0035393485 0.005014077 0.0036734147 0.0030298969 0.0060597938 0.0024668186 0.003941547 0.001850114 0.0018769272 0.0032980293 0.002413192 0.0020109934 0.0015283551 0.001742861 0.0024400053 0.0023327523 0.0021450596 0.002413192 0.0021182464 0.0028690172 0.0022254994 0.0019037405 0.0020109934 0.00206462 0.001957367 0.0028153907 0.0029762704 0.0020109934 0.0019305537 0.0027885775 0.0014479152 0.001742861 0.0014747285 0.0024668186 0.0015015418 0.0013674755 0.001742861 0.002627698 0.001957367 0.0016624213 0.0016624213 0.0031103366 0.0023595656 0.0024668186 0.0028690172 0.0020378067 0.0023327523 0.0032444028 0.004021987 0.0030835234 0.003378469 0.0036197882 0.0033516558 0.002305939 0.0026008848 0.0030298969 0.002413192 0.004021987 0.0027617642 0.0030030836 0.0038611074 0.0034052823 0.0023327523 0.003163963 0.0031103366 0.0043437458 0.002520445 0.0016624213 0.0022523126 0.0019037405 0.0022523126 0.0020378067 0.0022523126 0.0031371498 0.0021986861 0.0021182464 0.0021986861 0.0020914332 0.0019037405 0.0023595656 0.0020914332 0.0036197882 0.0031907763 0.0021182464 0.0037538544 0.0028690172 0.002305939 0.0020914332 0.0025472583 0.0035125352 0.00206462 0.0020378067 0.0018233007 0.0026008848 0.0012334093 0.0013406622 0.0016087948 0.002734951 0.0017696742 0.0017696742 0.0050945166 0.0031907763 0.002627698 0.0022523126 0.0026813245 0.003941547 0.0013942887 0.001635608 0.0019305537 0.0021182464 0.0016624213 0.002734951 0.0029762704 0.0030835234 0.0020109934 0.001313849 0.0025740715 0.0022523126 0.00206462 0.008714305 0.012065961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.053362165 0.0029575892 0.0024274553 0.0025390624 0.0034179688 0.0026367188 0.0012276786 0.0030691964 0.0030970983 0.0012834822 0.0011021205 0.0014369419 0.0010742188 0.0008370536 0.0006696429 0.004575893 0.014271763 0.0005719866 0.00043247768 0.0008370536 0.000390625 0.0006417411 0.00086495536 0.0043526785 0.0011997768 0.00036272322 0.0002092634 0.0008789062 0.00044642857 0.000390625 0.00015345983 0.0025669644 0.04878627 0.005719866 0.005217634 0.0044782367 0.0051478795 0.0034458705 0.0097377235 0.0078404015 0.0053710938 0.0016601563 0.001171875 0.0017717634 0.0021623883 0.0019112723 0.0017438616 0.008119419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008803014 0.0007672991 0.0017299107 0.0014787946 0.0029017858 0.0011858259 0.0038504463 0.0022739954 0.00082310266 0.0005440848 0.000906808 0.0007533482 0.0007952009 0.0005859375 0.0006417411 0.00053013396 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08892299 0.06106306 0.049595423 0.04440569 0.049539622 0.04203404 0.051520646 0.04768415 0.051506698 0.032282367 0.028948102 0.04232701 0.041141182 0.037834823 0.035825893 0.038225446 316.0 9.3575945 2957.0 0.01657085 0.006425431 0.017585391 0.0077781538 0.0037199864 0.004058167 0.006763612 0.0094690565 0.004058167 0.00574907 0.0047345283 0.0054108896 0.0047345283 0.0071017924 0.015894488 0.011159959 0.007439973 0.006425431 0.006763612 0.009807237 0.0050727087 0.0037199864 0.0071017924 0.0037199864 0.01657085 0.0047345283 0.004396348 0.006425431 0.008116334 0.010821779 0.008454515 0.004396348 0.006425431 0.017585391 0.0054108896 0.014541766 0.014203585 0.012512682 0.018261751 0.008116334 0.009130876 0.010483598 0.009130876 0.007439973 0.014541766 0.0094690565 0.008454515 0.00574907 0.014541766 0.004058167 0.012174501 0.010145417 0.013527224 0.00574907 0.0060872505 0.0094690565 0.006425431 0.0050727087 0.0020290834 0.0037199864 0.006425431 0.0030436253 0.0037199864 0.0037199864 0.004396348 0.029083531 0.011159959 0.013189043 0.022319918 0.033479877 0.010821779 0.006763612 0.008792696 0.022319918 0.006425431 0.010483598 0.018261751 0.017585391 0.021981739 0.019952655 0.014541766 0.004058167 0.059181605 0.027054448 0.0226581 0.01149814 0.0094690565 0.010483598 0.004058167 0.01183632 0.0054108896 0.010483598 0.004058167 0.004058167 0.010821779 0.006763612 6.273005 0.0 0.0 0.0 1.0 37295.0 151552.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1104075300.0 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 5.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27648.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.888562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.735249 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 110592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 149820.0 6460.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0