Input: 0.14888915 0.0062927245 0.0043212892 0.0031066895 0.0044799806 0.002960205 0.0028564453 0.002416992 0.003894043 0.002319336 0.0027893067 0.0026489259 0.0032531738 0.0027709962 0.002416992 0.006286621 0.004833984 0.0023498535 0.0025146485 0.0020263672 0.0037719726 0.0034729005 0.00234375 0.0022583008 0.0048950193 0.0023376464 0.0024658204 0.002154541 0.0050964355 0.0024230957 0.0022644042 0.0020141602 0.0053100586 0.0021484375 0.002331543 0.002166748 0.01821289 0.0033691407 0.0030822754 0.002154541 0.0032653809 0.0022399903 0.002355957 0.0022583008 0.0026428222 0.003149414 0.0030822754 0.0023498535 0.004449463 0.003656006 0.0034362793 0.003503418 0.003729248 0.003161621 0.0028869628 0.0027893067 0.002783203 0.0030334473 0.002496338 0.002697754 0.0024047852 0.0022644042 0.0023620606 0.0018737793 0.011157227 0.0044677733 0.0028015138 0.0038330078 0.007836914 0.0028381348 0.0038513183 0.0028686523 0.0025756836 0.0032348633 0.0021484375 0.0022949218 0.008319092 0.0033935546 0.0034057617 0.0021484375 0.0074035646 0.00557251 0.0044799806 0.004309082 0.004119873 0.0031555176 0.0040100096 0.0030578612 0.0028930665 0.0021911622 0.002380371 0.0021118163 0.0038330078 0.002203369 0.0027160645 0.0037231445 0.0022521974 0.003704834 0.0025146485 0.003314209 0.006170654 0.0067810058 0.0032592774 0.00234375 0.006011963 0.0058776857 0.0034973144 0.002355957 0.0037109375 0.0028930665 0.0046875 0.004772949 0.0026733398 0.0021484375 0.0059020994 0.004095459 0.0071044923 0.0031372071 0.0031311035 0.0026672364 0.002282715 0.0026916503 0.002203369 0.0021911622 0.0022766113 0.003161621 0.002380371 0.002001953 0.005126953 0.0033996582 0.0041625975 0.0034973144 0.004559326 0.003753662 0.00289917 0.002520752 0.0038391114 0.0054626465 0.0028381348 0.010351563 0.0024108887 0.014733886 0.0021118163 0.0021728515 0.0072387694 0.0019042969 0.0020446777 0.002380371 0.002545166 0.0020568848 0.0024230957 0.0023376464 0.003503418 0.002069092 0.002331543 0.001989746 0.0039489744 0.0022521974 0.0022216798 0.00211792 0.0025573731 0.0024597168 0.0024414062 0.0021240234 0.0023071289 0.0019042969 0.0023071289 0.0020446777 0.0020874024 0.0020629882 0.0022399903 0.0017761231 0.001989746 0.0021118163 0.0022155761 0.0032470704 0.0034179688 0.0024047852 0.0026367188 0.0022521974 0.0025756836 0.0020874024 0.0027160645 0.0023254394 0.0028930665 0.0022644042 0.0023986816 0.002069092 0.0020263672 0.002069092 0.0025024414 0.0028442382 0.0049438477 0.004003906 0.0031738281 0.0032043457 0.0038146973 0.0026000976 0.0051940917 0.0042663575 0.0030944825 0.0027221679 0.0030700683 0.0024780273 0.006201172 0.0024658204 0.0040893555 0.0026550293 0.0028259277 0.0024475097 0.0026245117 0.0027038574 0.002142334 0.0022583008 0.0026245117 0.0024414062 0.002746582 0.0024108887 0.0026000976 0.0025634766 0.002380371 0.0022521974 0.0024719238 0.0023071289 0.0025512695 0.0021728515 0.0023498535 0.0021850585 0.002416992 0.0021240234 0.002496338 0.0021850585 0.011651611 0.00491333 0.0025756836 0.002368164 0.0026245117 0.0023132325 0.0029418946 0.002496338 0.0028015138 0.0028076172 0.0029541017 0.0030578612 0.002282715 0.0022521974 0.003869629 0.00357666 0.0028503418 0.0026489259 0.00279541 0.0026550293 0.00256958 0.0021606446 0.0042419434 0.019659424 0.031446543 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059607164 6.1419023e-06 9.212854e-06 2.1496659e-05 5.5277123e-05 1.8425708e-05 0.00017197327 4.2993317e-05 0.0 0.0 3.0709512e-06 0.0 0.0 0.0 0.0 0.0 0.0058501624 0.0 2.456761e-05 8.5986634e-05 4.2993317e-05 4.913522e-05 0.00016890232 6.7560926e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005533854 0.000116696145 5.8348072e-05 6.1419023e-06 4.606427e-05 2.7638562e-05 0.00010134139 6.448998e-05 9.212854e-06 5.8348072e-05 6.1419023e-06 0.00010441234 2.1496659e-05 2.1496659e-05 3.6851416e-05 7.677378e-05 0.010468873 4.606427e-05 2.7638562e-05 1.2283805e-05 7.9844736e-05 9.212854e-06 2.1496659e-05 0.00016583137 0.0003654432 1.2283805e-05 1.5354757e-05 1.8425708e-05 0.00021496658 9.212854e-06 0.0003838689 0.00072781544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004643278 0.0002211085 4.2993317e-05 4.2993317e-05 7.677378e-05 5.220617e-05 4.606427e-05 3.0709514e-05 0.0004913522 3.9922368e-05 4.913522e-05 5.220617e-05 0.0003285918 6.448998e-05 5.8348072e-05 4.913522e-05 0.0035899421 3.0709512e-06 0.000442217 2.456761e-05 0.00024874706 0.00012283806 0.0011700324 0.00067868026 0.0 3.0709512e-06 3.0709512e-06 0.0 3.0709512e-06 0.0 0.0 0.0 0.0182046 0.00030095322 0.00057119696 0.0013788571 0.0023554196 0.0010471944 0.0023185683 0.0010871168 0.00037465605 0.0005343455 0.0008567954 0.00028866943 0.0002702437 0.00012897995 0.00035008843 0.0013788571 0.013220445 0.00042072032 0.0010471944 0.00081380206 0.0037557734 0.0023400648 0.004032159 0.0022817168 0.0009673496 0.00022725039 0.00050670694 0.00028559848 0.0005527712 0.00020268279 0.00030402417 0.00048828125 0.010389028 0.00020575373 0.0035561617 0.008340703 0.006734596 0.006172612 0.013678017 0.008414406 0.0009550658 0.00081687304 0.00015354756 0.00023339229 0.0003654432 0.00015354756 0.00073395733 0.0019899765 0.0026348762 0.00029174038 9.827044e-05 0.00010441234 0.00046985556 0.00032552084 0.00091821444 0.0014157086 0.0015231918 0.000125909 0.00012897995 0.0002456761 0.0008997887 0.0001197671 0.00080151827 0.0024751867 0.0029450422 0.00036237226 0.00014433471 0.00020575373 0.0011516067 0.00015968947 0.00013512185 0.00039922367 0.0013880699 0.00059269357 0.00018425708 0.00040843652 0.0014126375 0.00017504422 0.00080151827 0.0021128145 0.02805314 0.008875049 0.014190866 0.0024751867 0.013069969 0.010189416 0.00558606 0.0024813286 0.018680597 0.005361881 0.001133181 0.0023093554 0.0075269016 0.0015477594 0.008405194 0.008478897 0.027395956 0.006568765 0.010075791 0.0043546087 0.009412466 0.00774801 0.006000639 0.0031753636 0.019138169 0.0054079453 0.003663645 0.005991426 0.016441872 0.007609817 0.008785992 0.015462239 0.03001855 0.029791297 0.029957129 0.029788228 0.029883428 0.030058471 0.029914137 0.029794369 0.030224303 0.030193593 0.02921396 0.0295057 0.0300554 0.029766731 0.0297698 0.030052328 793.0 16.994955 13477.0 0.025228167 0.0017066112 0.0023002152 0.0014840098 0.0043036286 0.0041552274 0.009794464 0.0017066112 0.0028196187 0.002448616 0.0021518143 0.0011130073 0.002893819 0.012539883 0.012243081 0.0023002152 0.022408549 0.020108333 0.015285301 0.013207687 0.015211101 0.01209468 0.0074942494 0.011278475 0.0060844403 0.0103138685 0.0030422201 0.0014098093 0.0030422201 0.002448616 0.003190621 0.0015582102 0.0020776137 0.023076352 0.00905246 0.019069526 0.03227721 0.008458856 0.012762484 0.012688284 0.0020776137 0.014246494 0.0018550123 0.0025228166 0.0050456333 0.0089040585 0.011426875 0.0021518143 0.01662091 0.0023002152 0.0064554424 0.026192773 0.0055650366 0.008755658 0.011278475 0.008829858 0.009571863 0.002893819 0.0014098093 0.0014098093 0.021666544 0.0020034132 0.0015582102 0.017882317 0.002448616 0.022260146 0.0057134377 0.0151369 0.024931364 0.05639237 0.011649477 0.0044520292 0.0041552274 0.03650664 0.002448616 0.0057134377 0.021592343 0.010462269 0.028121985 0.034058023 0.0070490465 0.0014098093 0.04110707 0.026934778 0.036580842 0.008829858 0.0086814575 0.008236255 0.0030422201 0.009423462 0.0020776137 0.003487423 0.0012614083 0.0035616234 0.0017066112 0.0011130073 5.963768 0.0 0.0 1.0 3.0 163840.0 163840.0 0.0 0.0 102.0 0.0 1.0 0.0 0.0 0.0 1190779300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 40960.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.048487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.319809 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0983377 0.0 7.9401326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8318.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -39277.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 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 -2.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 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 -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 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 50272.0 3288.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1020.0 45056.0 0.0 0.0 0.0 0.0


Input: 0.39782685 0.0115170535 0.005003553 0.005270014 0.008230696 0.0042041685 0.007135244 0.0020428707 0.003315964 0.0023685456 0.0017171956 0.0018948365 0.0019540503 0.0031087163 0.0011250592 0.0026942207 0.0022501184 0.00091781147 0.0010362387 0.0022797252 0.0020132638 0.0016875889 0.0014507342 0.0017764093 0.0016283751 0.000828991 0.0009474183 0.0011546661 0.00065135007 0.0020132638 0.0010362387 0.0015987684 0.034195878 0.0012730933 0.0010954523 0.00065135007 0.0035824254 0.0023981526 0.0014803411 0.0038784936 0.0021316912 0.0015395547 0.0020428707 0.0021020842 0.0010954523 0.0017171956 0.00707603 0.0018356229 0.0127605405 0.007135244 0.0061582187 0.003315964 0.0017171956 0.001657982 0.0011842728 0.004292989 0.0022501184 0.0014211275 0.0011250592 0.0009770251 0.0010954523 0.000828991 0.0005921364 0.000828991 0.0019540503 0.0049443394 0.0010066319 0.001983657 0.005329228 0.002812648 0.0007993842 0.002486973 0.010688063 0.004115348 0.00044410233 0.0005921364 0.0033455708 0.0016875889 0.002812648 0.00038488867 0.0037600663 0.00050331594 0.0012434865 0.0057437234 0.001983657 0.0034639982 0.0009474183 0.00091781147 0.0025461866 0.00038488867 0.0011546661 0.0005921364 0.0013915206 0.0006809569 0.00062174327 0.0020724775 0.0010954523 0.015217906 0.0041745617 0.008585978 0.010776883 0.030850308 0.002486973 0.002664614 0.0030791094 0.0134414965 0.0009770251 0.00050331594 0.00894126 0.0058917576 0.016787067 0.01154666 0.0060101845 0.0009770251 0.016520606 0.015632402 0.01862269 0.011043345 0.0027534345 0.0013915206 0.0020428707 0.0021316912 0.0005921364 0.00047370914 0.00062174327 0.0004144955 0.0002960682 0.00065135007 0.0016875889 0.0010954523 0.0018652298 0.0037600663 0.0010954523 0.0013915206 0.0022501184 0.00035528187 0.0005329228 0.002486973 0.00065135007 0.005270014 0.00044410233 0.0018652298 0.00047370914 0.0002664614 0.00032567504 0.00032567504 0.0005625296 0.0005921364 0.000828991 0.00050331594 0.0005625296 0.0005625296 0.00062174327 0.00044410233 0.0002960682 0.00044410233 0.00044410233 0.00035528187 0.00020724775 0.00038488867 0.0015395547 0.00050331594 0.00062174327 0.00047370914 0.0006809569 0.00032567504 0.00044410233 0.00035528187 0.0005921364 0.00050331594 0.0010658456 0.00038488867 0.00038488867 0.00023685457 0.00044410233 0.00044410233 0.0008585978 0.00044410233 0.00032567504 0.00023685457 0.00065135007 0.0002664614 0.00035528187 0.00050331594 0.0010658456 0.0005921364 0.0005921364 0.0005329228 0.00047370914 0.00038488867 0.00044410233 0.0002960682 0.0028718617 0.0010658456 0.0005921364 0.0022501184 0.0015395547 0.00050331594 0.00065135007 0.00076977734 0.0012138797 0.0007993842 0.000828991 0.00050331594 0.0031679298 0.00074017054 0.00076977734 0.0005625296 0.00071056373 0.00050331594 0.0011842728 0.00062174327 0.00047370914 0.00032567504 0.00032567504 0.0007993842 0.0008585978 0.0005625296 0.00038488867 0.00065135007 0.00047370914 0.0005625296 0.0005329228 0.00038488867 0.0010954523 0.00050331594 0.00050331594 0.0002664614 0.0013027001 0.0002960682 0.00047370914 0.00032567504 0.0034639982 0.006957603 0.0011546661 0.00088820467 0.001332307 0.0002960682 0.0005921364 0.00035528187 0.0010362387 0.00062174327 0.00047370914 0.00035528187 0.00047370914 0.00023685457 0.00020724775 0.0013619137 0.00074017054 0.00047370914 0.0005329228 0.0006809569 0.00050331594 0.0005329228 0.0005329228 0.0045594503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.054262225 0.0017168599 0.0014805947 0.0005512853 0.00034652217 0.00026776714 0.0015278478 0.0008978075 0.0012285786 0.00033077117 0.00029926916 0.00018901209 0.00023626511 0.00026776714 0.00067729334 0.00023626511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020224294 4.7253023e-05 0.0017326109 0.0009765625 0.0002205141 0.00023626511 0.0050560734 0.0024256553 0.00023626511 0.0002047631 7.875504e-05 3.1502015e-05 4.7253023e-05 1.5751008e-05 0.00069304433 3.1502015e-05 0.25300846 0.0014175908 0.038385205 0.021941153 0.007623488 0.0067256805 0.095734626 0.050229963 0.00031502015 7.875504e-05 0.00023626511 0.00018901209 0.00018901209 0.00014175907 0.0074659777 0.00018901209 0.04796182 0.002315398 0.0046938006 0.0026304184 0.0075289817 0.0048670615 0.015625 0.00907258 0.00025201612 0.00012600806 0.00037802418 0.00026776714 0.00028351814 0.00026776714 0.00023626511 0.00026776714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.031596523 0.0017011089 0.0036699849 0.0013860887 0.004615045 0.002047631 0.0024571572 0.00203188 0.0042685233 0.0006300403 0.0009765625 0.00066154235 0.0032604586 0.0012285786 0.0015908518 0.0023941533 0.011923513 0.0011813256 0.0014333418 0.001937374 0.0055443547 0.0024886592 0.0024414062 0.0018271169 0.0007402974 0.00033077117 0.0005197833 0.00025201612 0.00047253023 0.00031502015 0.0003622732 0.00048828125 0.02546938 0.0042685233 0.0053553428 0.0037487398 0.013467112 0.0025989164 0.0016381048 0.0031186996 0.012112525 0.0008190524 0.0005985383 0.0015908518 0.009938886 0.0021263862 0.0053868447 0.00453629 0.023815524 0.008568549 0.011261971 0.013104838 0.006001134 0.007717994 0.016428301 0.012081023 0.005260837 0.0032289566 0.00390625 0.0035282257 0.003543977 0.0036542339 0.0032919606 0.003638483 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 177.0 19.853107 3514.0 0.04183267 0.00028457597 0.0014228799 0.00056915195 0.008252704 0.00056915195 0.0022766078 0.0062606717 0.0008537279 0.00056915195 0.00028457597 0.0014228799 0.0008537279 0.0102447355 0.028173022 0.013375071 0.03329539 0.015936255 0.010813887 0.0065452475 0.0022766078 0.0051223678 0.0025611839 0.0008537279 0.0028457597 0.0031303358 0.005976096 0.00028457597 0.0042686397 0.0022766078 0.0031303358 0.00056915195 0.0014228799 0.024473535 0.00028457597 0.012805919 0.031018782 0.0051223678 0.001992032 0.01849744 0.004837792 0.019351168 0.0 0.0011383039 0.0022766078 0.0014228799 0.016789982 0.00056915195 0.019635743 0.00056915195 0.0054069436 0.014513375 0.009675584 0.0022766078 0.0034149117 0.001992032 0.017074559 0.0 0.0054069436 0.0 0.0028457597 0.00028457597 0.0017074558 0.013659647 0.0008537279 0.039271485 0.0062606717 0.032157086 0.015651679 0.06175299 0.0056915195 0.0102447355 0.010529311 0.038702335 0.0008537279 0.0022766078 0.01849744 0.028173022 0.037279453 0.027888447 0.015936255 0.0014228799 0.03955606 0.03528742 0.06289129 0.013090495 0.0065452475 0.007968128 0.0065452475 0.013375071 0.0022766078 0.00028457597 0.00028457597 0.00028457597 0.0 0.00056915195 5.5874386 0.0 15.0 0.0 4.0 33776.0 49152.0 1.0 0.0 30.0 1.0 1.0 1.0 0.0 0.0 1543360300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 14.0 0.0 6.0 0.0 6.0 0.0 4096.0 1024.0 4096.0 7.0 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 3072.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7841837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.4376974 0.0 0.0 0.0 0.0 3.8238149 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96903336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5853686 0.0 3.5175183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2992.0 0.0 0.0 0.0 0.0 420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4011.0 0.0 17008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59.0 10032.0 80.0 10092.0 17008.0 24576.0 420.0 16384.0 6128.0 27648.0 20.0 45056.0 84.0 8560.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8656.0 0.0 0.0 264.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.07354782 0.004847326 0.0052470067 0.004159276 0.0056540812 0.0039676293 0.0081878565 0.004009396 0.004459436 0.0034562377 0.0035529605 0.0036806585 0.004053361 0.0038341358 0.0035317773 0.0037903707 0.0035533602 0.0031872527 0.0031866531 0.0031626723 0.0037396112 0.0035453665 0.003363512 0.0034830163 0.0035849349 0.003305958 0.0033127523 0.0034550386 0.0034930084 0.0032673888 0.00332834 0.0037192276 0.004934856 0.0031702663 0.0032138315 0.0032801784 0.0041462863 0.00311551 0.0035036 0.003204439 0.0033755023 0.003238212 0.0031788594 0.0033355341 0.0034744232 0.00329077 0.0038001628 0.0033639115 0.0036143113 0.00346603 0.0033918892 0.0034730243 0.0034386518 0.0033788995 0.0032180282 0.003243208 0.0033373327 0.003404679 0.003248204 0.003881498 0.0033657101 0.0034040795 0.003442249 0.0035889316 0.0036189079 0.0033763016 0.0032422089 0.0035875328 0.003927861 0.0049994043 0.005116311 0.0040563582 0.003557357 0.0032843752 0.0031290993 0.003223024 0.00346603 0.0045943283 0.0032216252 0.003330738 0.004723625 0.0034648308 0.0034014815 0.0039480445 0.0034038797 0.0035004024 0.003896286 0.0036930486 0.0032533999 0.0034586359 0.0033769011 0.003412273 0.003359715 0.00346603 0.0035141914 0.004007597 0.0032759819 0.0038743035 0.0032649906 0.003772585 0.0036864537 0.0046269023 0.0035255824 0.0036193074 0.0039082766 0.0039862143 0.0037867737 0.0032424086 0.0037424092 0.0033245431 0.004053361 0.0043589165 0.0036576767 0.0032901706 0.004036174 0.0038197474 0.0053121545 0.0051544807 0.0032697867 0.0035030004 0.0036796592 0.003347125 0.0032140315 0.00324061 0.003543568 0.0035103946 0.0035319773 0.0036466855 0.00928398 0.0034048788 0.0030175883 0.004381099 0.0034524407 0.0038453268 0.0030987235 0.0033393311 0.0034602345 0.0047639925 0.003449643 0.0071698697 0.0035827367 0.0060249846 0.0032839754 0.0033351346 0.003735015 0.0030663493 0.0029714252 0.0032274206 0.003592129 0.0031536797 0.0030037994 0.003144287 0.0031850545 0.0031103143 0.0030959258 0.0031642711 0.0033329362 0.0031460857 0.0032314174 0.0033990834 0.0032901706 0.0033313376 0.0030109936 0.0031834557 0.00314049 0.0034344553 0.003051761 0.0032400105 0.0030997228 0.0030713454 0.0031083159 0.0031324965 0.0031115133 0.0033669092 0.0031003223 0.0033423288 0.0031684677 0.003334535 0.0030611535 0.0031426884 0.0032202264 0.0033920892 0.0030815373 0.0031538794 0.0036019213 0.0030959258 0.0031338953 0.0031632718 0.0032795789 0.0035745432 0.0034174689 0.0035507623 0.0040199873 0.0033653104 0.0033385318 0.0036292996 0.0034228645 0.003235814 0.004277781 0.0037156304 0.0033844952 0.0033029602 0.0030811375 0.0033001625 0.0035803386 0.003030778 0.0037807785 0.00344105 0.0033802984 0.0032114335 0.0032126324 0.003164471 0.0031514813 0.0031546787 0.0036694673 0.0034386518 0.0034824167 0.003229419 0.0030683477 0.0032292192 0.003159275 0.0031197066 0.003609715 0.0035601547 0.0033531203 0.0032504022 0.0031784598 0.0033675088 0.0033025607 0.0031858538 0.0031610737 0.0037348152 0.005460236 0.003888892 0.0031316972 0.0036996433 0.003756198 0.003256797 0.003094527 0.0037815778 0.003942649 0.0034814177 0.0032050386 0.0034264615 0.0033351346 0.0034502426 0.003335934 0.0039570373 0.0037108343 0.003677261 0.0036005224 0.0034874128 0.004731818 0.0037408103 0.0041155107 0.01300101 0.001841375 1.9991045e-07 9.995522e-08 0.0 0.0 9.995522e-08 0.0 0.0 3.998209e-07 9.995522e-08 9.995522e-08 0.0 0.0 0.0 0.0 0.0 0.00078045035 3.8982535e-06 1.3993731e-06 1.1994626e-06 3.9982087e-06 1.6992387e-06 4.997761e-07 5.997313e-07 1.1594805e-05 1.7991939e-06 2.0990597e-06 4.4979847e-06 1.0995075e-06 1.9991045e-07 1.0995075e-06 2.698791e-06 0.00037623144 9.295835e-06 2.0990597e-06 1.6992387e-06 1.5992836e-06 9.995522e-07 2.0990597e-06 2.29897e-06 4.1981193e-06 1.0995075e-06 1.0995075e-06 9.995522e-07 1.2994178e-06 1.4993283e-06 1.7991939e-06 1.0995075e-06 0.0010686213 2.9986566e-07 1.4993283e-06 1.6992387e-06 7.1967756e-06 5.1976713e-06 8.396239e-06 3.9982087e-06 0.0015616004 2.199015e-06 9.995522e-08 0.0 3.998209e-07 0.0 0.0 0.0 0.0007163791 5.497537e-06 4.7978506e-06 4.6978953e-06 1.169476e-05 4.1981193e-06 3.9982087e-06 4.6978953e-06 0.00040921668 1.2694313e-05 6.796955e-06 1.0795164e-05 3.3984775e-06 2.698791e-06 1.4893328e-05 1.1794716e-05 0.0006380142 3.0486342e-05 3.1485895e-05 0.00011474859 7.796507e-06 4.2980746e-06 7.4966415e-06 3.4984328e-06 0.00013473963 1.0195433e-05 5.6974477e-06 1.0295387e-05 6.8969102e-06 3.4984328e-06 5.6974477e-06 8.6961045e-06 0.0014264609 4.2780834e-05 0.00012914215 5.7574205e-05 7.266745e-05 4.3580476e-05 2.0390866e-05 0.00021210498 0.00045119788 3.498433e-05 1.6392656e-05 2.6088312e-05 1.7292254e-05 2.9386834e-05 2.2989701e-05 0.00046759052 0.015053656 0.0003475443 0.0014772381 0.00054315664 0.0010875128 0.00059273443 0.0037646135 0.0019558237 0.00040521845 0.00018041917 8.006413e-05 8.41623e-05 7.8764715e-05 0.00014253614 9.7056516e-05 0.00072157674 0.034319423 0.0011394895 0.00221011 0.0015194193 0.002035888 0.0017095341 0.003732128 0.0023932278 0.0013247065 0.0009343814 0.0007261747 0.00073177216 0.0006080276 0.0007836489 0.00071437994 0.0010030506 0.011698159 0.0005003758 0.0005841383 0.0004722884 0.0007854481 0.0005487542 0.001194265 0.0008377247 0.00069428893 0.0003689347 0.0003602386 0.00042770838 0.0003674354 0.00038562724 0.00031685806 0.0005191674 0.0022810781 7.47665e-05 0.00015343126 0.00014963296 0.00030166484 0.00019551242 0.00031885714 0.00023239589 0.00092108734 0.00027627623 0.00024189163 0.00026698038 0.00023129638 0.00026438155 0.00020910632 0.00063701463 0.0019986047 7.626583e-05 0.00021570336 0.00015632996 0.00017562132 0.00017692074 0.00017022374 0.00012384451 0.0020632755 0.00041601362 0.0004470997 0.00051936734 0.00087750686 0.00075116346 0.00060652825 0.0014609455 0.0016588569 0.00020120986 0.00039072495 0.00036123817 0.0005526524 0.00041661336 0.00022699831 0.00028807094 0.001258936 0.00024289118 0.00024099204 0.0001953125 0.0004729881 0.0003138594 0.0005381589 0.0014429536 0.010353762 0.0024235144 0.0017311245 0.0018135875 0.00455336 0.0037163352 0.0017497161 0.0026872961 0.00723236 0.0009037951 0.0007041845 0.0009450766 0.0029995563 0.0010442322 0.0030879166 0.006459506 0.0076351794 0.0022500919 0.002020395 0.0015911872 0.003382085 0.0030061533 0.0015209187 0.0023511467 0.0051128096 0.0009546723 0.0007225763 0.00086151407 0.0024029235 0.00093698024 0.0021601322 0.004032893 0.04808796 0.047584083 0.04667699 0.048109945 0.046753854 0.047462136 0.047333796 0.0486595 0.0473163 0.047217946 0.047464035 0.048288867 0.04784057 0.048182115 0.048832722 0.051435858 21362.0 6.8587213 146516.0 0.012503753 0.014032597 0.0128177125 0.01023779 0.0108520575 0.0076100905 0.016817275 0.010442546 0.010367468 0.008893226 0.012694859 0.009405117 0.01326135 0.0123877255 0.0097463755 0.010101286 0.008770374 0.010401594 0.012428677 0.0073029567 0.014087198 0.011466324 0.0088659255 0.009446068 0.010544923 0.011084113 0.007855797 0.009889705 0.008360862 0.01005351 0.010968085 0.011725682 0.010326517 0.009889705 0.009739551 0.00902973 0.016987905 0.009200361 0.009323214 0.010203664 0.013984821 0.011254744 0.008394987 0.010763329 0.009377816 0.010244615 0.007903574 0.009493844 0.0105927 0.008893226 0.010845232 0.012674384 0.010005733 0.012073766 0.009466543 0.010640476 0.009705424 0.010326517 0.008081028 0.011363947 0.009937481 0.00881815 0.007889924 0.00849054 0.0074394606 0.011234268 0.009650823 0.008927353 0.010531273 0.015015425 0.009043381 0.015957301 0.010660952 0.011548227 0.008190231 0.0076100905 0.010367468 0.008756723 0.011957739 0.012114718 0.008988779 0.008756723 0.012763111 0.0106950775 0.013780065 0.011138715 0.008354036 0.011848535 0.013118021 0.008463239 0.008128805 0.008217532 0.01043572 0.007965 0.008265309 0.008729422 6.5586076 4.0 0.0 0.0 60.0 5003996.0 827392.0 0.0 0.0 337.0 0.0 1.0 0.0 0.0 0.0 1347233300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 5.0 0.0 417280.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -417280.0 0.0 297472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.461418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.301066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5879707 0.0 6.40374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -416771.0 0.0 296996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 0.0 1.0 1.0 1.0 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 -2.0 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 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 2.0 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 472624.0 296996.0 528384.0 0.0 0.0 4992.0 530346050.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1416.0 421888.0 0.0 0.0 0.0 0.0


Input: 0.21594816 0.02702618 0.014129696 0.007942729 0.015383812 0.003292052 0.0033965616 0.0044834614 0.0035010711 0.0022051523 0.008308512 0.0031875425 0.0034592673 0.0026858964 0.0037414434 0.0060197525 0.0064586927 0.0020797409 0.0016930554 0.002591838 0.0021006428 0.001776663 0.0013481737 0.0015780948 0.0021319955 0.0012227622 0.0009092334 0.0008465277 0.0007838219 0.0005643518 0.00072111614 0.0007106652 0.044845063 0.0012332131 0.002779955 0.00061660656 0.0057480275 0.0013168209 0.0024977792 0.0011391545 0.0033965616 0.0032188953 0.0028844646 0.0012227622 0.0023932697 0.00925955 0.004337148 0.0024664262 0.0014631342 0.00152584 0.0010450959 0.0012227622 0.0009510373 0.0010346449 0.00079427287 0.00070021424 0.0010659978 0.0010450959 0.0015571929 0.0029785233 0.0010764487 0.0021528974 0.00070021424 0.0007106652 0.0041699326 0.0022051523 0.0014840362 0.0036578355 0.0024559754 0.0031039347 0.0021110936 0.0009823901 0.0021006428 0.0029367195 0.00083607674 0.00091968436 0.001776663 0.0010659978 0.0021319955 0.0011391545 0.0033652089 0.0015571929 0.0041594817 0.0030307781 0.00305168 0.0018602706 0.0018811726 0.003563777 0.0009928411 0.0014422323 0.00070021424 0.0013899775 0.0010659978 0.0014735851 0.0013795266 0.0031457387 0.00083607674 0.0100120185 0.002539583 0.006354183 0.005831635 0.019470137 0.004023619 0.0031979934 0.0046820296 0.009353608 0.0018602706 0.0011287036 0.0064482414 0.0031979934 0.013377228 0.011851387 0.0046611275 0.0013168209 0.012342582 0.00839212 0.016930554 0.005037362 0.0034801692 0.004065423 0.0018080159 0.0026231906 0.0009719392 0.0016198986 0.0014840362 0.0020797409 0.0013795266 0.0023305637 0.002570936 0.0032188953 0.001024194 0.0024455243 0.003312954 0.0015780948 0.0011914093 0.0009510373 0.0046193236 0.0018916236 0.00075246906 0.004765637 0.0008151748 0.0016198986 0.0010346449 0.002518681 0.00061660656 0.0009092334 0.0014317813 0.00072111614 0.0007838219 0.0006270575 0.0009092334 0.0014526832 0.00079427287 0.0022574072 0.00072111614 0.00077337096 0.0009301353 0.001024194 0.0007315671 0.00070021424 0.0010764487 0.0009823901 0.0012750169 0.0012750169 0.0011496055 0.0009823901 0.002299211 0.0009405863 0.0009301353 0.0007838219 0.0009405863 0.0009823901 0.0006897633 0.0009510373 0.0005225479 0.0008883315 0.00070021424 0.0007838219 0.00096148823 0.00075246906 0.001013743 0.0008674296 0.00070021424 0.00077337096 0.0013168209 0.0008883315 0.0008047238 0.0008674296 0.0006479595 0.0015780948 0.0013586247 0.0012750169 0.0023096618 0.00083607674 0.0015049381 0.0011391545 0.0014735851 0.0007838219 0.0017453101 0.0015885457 0.0008674296 0.0020797409 0.0009405863 0.001536291 0.004263991 0.0011705074 0.0008256257 0.0009301353 0.0007420181 0.0016408005 0.0024455243 0.0018289178 0.001295919 0.0010659978 0.0013586247 0.0014840362 0.0008465277 0.0024664262 0.0008465277 0.00087788055 0.00085697864 0.00075246906 0.001003292 0.001254115 0.002048388 0.00072111614 0.0014944872 0.00044939123 0.0005643518 0.0015049381 0.0027067983 0.0018289178 0.0032293464 0.0008151748 0.0015989967 0.0025500339 0.0018707217 0.0008674296 0.001003292 0.0011078017 0.004556618 0.0034070127 0.002048388 0.003845953 0.0144536765 0.006521398 0.002246956 0.0038982076 0.004013168 0.0034070127 0.0032084445 0.0033234048 0.008601139 0.011809584 0.013147307 0.05730261 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024185844 0.00044051462 0.0017142917 0.00014329993 0.00012737772 0.0003290591 0.0005625849 0.00024944803 7.9611076e-05 0.00012207031 0.00022291101 0.000111455505 0.00062096637 0.00041928497 0.00016452956 0.0031154468 0.022317637 0.0006740404 0.0018257473 0.00017514436 0.00029721466 0.00045643683 0.0005201257 0.0005466627 0.00019637398 0.00022291101 0.00046705164 0.00026537024 0.0004352072 0.00026537024 0.00012207031 0.0038213315 0.024690047 0.00036090353 0.04759681 0.0031791355 0.0072339927 0.0071331523 0.06409222 0.03321374 0.00041397757 0.0009977921 0.0010243291 0.00028129245 0.00023883322 0.00050951086 0.0012100883 0.00347635 0.052240785 0.004155698 0.013698412 0.0025263247 0.006305197 0.004235309 0.018522844 0.012483017 0.0040230127 0.0013746179 0.0017514436 0.001257855 0.0011729365 0.002069888 0.0021070398 0.013379968 0.06950047 0.006607719 0.006814708 0.0029721467 0.0042140796 0.0032852837 0.008810292 0.008226478 0.0064378823 0.0016930621 0.002398947 0.0029084578 0.003147291 0.00321098 0.00932511 0.023490574 0.05642302 0.0027386209 0.0061035156 0.0037576426 0.0040813945 0.0044794497 0.0038107168 0.0051587974 0.008597996 0.0049783457 0.004808509 0.0044900645 0.006145975 0.0054188604 0.00376295 0.049157184 0.040384043 0.007929263 0.0066130264 0.0029933765 0.003630265 0.0033702021 0.005111031 0.0051853345 0.0034710427 0.0026749321 0.0029084578 0.0027333135 0.0026802395 0.0034179688 0.003343665 0.023119057 0.033426035 0.004904042 0.0060875933 0.004495372 0.007515285 0.011134936 0.00407078 0.006358271 0.010620117 0.00251571 0.0031366763 0.0033224355 0.009378185 0.005126953 0.004511294 0.024700662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 634.0 34.52997 21892.0 0.18362872 0.0006851818 0.008267861 0.00018271514 0.00022839394 0.00059382425 0.0014617211 0.00082221813 0.009227115 0.009227115 0.006577745 0.0020555453 0.004841951 0.0020098665 0.015028321 0.0075826785 0.0010506121 0.0016444363 0.0011419697 0.0010506121 0.00059382425 0.00054814544 0.0007308606 0.00050246663 0.00045678788 0.00050246663 0.0029234423 0.008130824 0.0010049333 0.0061209574 0.00054814544 0.00013703636 0.0015074 0.005390097 0.003425909 0.012790061 0.002558012 0.005938242 0.0039740545 0.0012333272 0.0047962726 0.009181436 9.135757e-05 0.00050246663 0.0027407273 0.0010962909 0.0046592364 0.002832085 0.0037456604 0.0007765394 0.008587612 0.006851818 0.007034533 0.0028777635 0.0006851818 0.0063036727 0.0010962909 0.0010049333 0.00027407272 0.0021925818 0.0007765394 0.0021012241 0.00022839394 0.0090443995 0.00013703636 0.04019733 0.006988854 0.024209756 0.02293075 0.081947744 0.012744381 0.00977526 0.013612279 0.038187467 0.0011419697 0.0017814727 0.024575187 0.009090079 0.055545405 0.048465192 0.015119678 0.001279006 0.05006395 0.03051343 0.059565138 0.014525854 0.010232048 0.012653024 0.0023296182 0.0073999637 0.0011419697 0.003654303 0.00091357576 0.0015530788 0.0017814727 0.00013703636 5.0153503 0.0 0.0 0.0 1.0 95685.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.5407366 0.0078125 0.003627232 0.0016741072 0.0047433036 0.00055803574 0.0008370536 0.00027901787 0.0016741072 0.0013950893 0.0033482143 0.00055803574 0.0016741072 0.001953125 0.0011160715 0.0 0.0055803573 0.0 0.00027901787 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0008370536 0.01813616 0.0011160715 0.00055803574 0.00027901787 0.0030691964 0.0025111607 0.0 0.0 0.001953125 0.0011160715 0.00027901787 0.00027901787 0.0008370536 0.00055803574 0.0066964286 0.00055803574 0.004464286 0.0027901786 0.0008370536 0.0016741072 0.00055803574 0.0 0.0008370536 0.0011160715 0.002232143 0.00055803574 0.0011160715 0.0 0.00027901787 0.0 0.00055803574 0.00027901787 0.001953125 0.017578125 0.0008370536 0.0013950893 0.03515625 0.001953125 0.0016741072 0.01674107 0.00027901787 0.01953125 0.0 0.00027901787 0.0027901786 0.001953125 0.017857144 0.0013950893 0.018694196 0.0 0.0027901786 0.0013950893 0.002232143 0.001953125 0.0013950893 0.0008370536 0.01702009 0.00055803574 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.0 0.0008370536 0.0 0.010044643 0.0013950893 0.0069754464 0.0055803573 0.015066965 0.002232143 0.0050223214 0.0033482143 0.016462054 0.00027901787 0.0008370536 0.0078125 0.0033482143 0.013392857 0.01311384 0.0041852677 0.0 0.018973215 0.011160715 0.01171875 0.0033482143 0.0011160715 0.0013950893 0.001953125 0.001953125 0.0008370536 0.0 0.00027901787 0.0 0.0 0.0 0.002232143 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0025111607 0.00027901787 0.0 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0 0.0 0.00055803574 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0008370536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0008370536 0.0008370536 0.00027901787 0.0008370536 0.0 0.0011160715 0.0008370536 0.0 0.0 0.0008370536 0.0011160715 0.0 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0 0.00027901787 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.00027901787 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0027901786 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0008370536 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0 0.0 0.0 0.0008370536 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.00027901787 0.0008370536 0.00055803574 0.0008370536 0.00027901787 0.0 0.0 0.00027901787 0.00027901787 0.00027901787 0.0008370536 0.0 0.0 0.0 0.0 0.0 0.0 0.0011160715 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.3515625 0.005859375 0.0234375 0.0053710938 0.0068359375 0.0075683594 0.045654297 0.02709961 0.0048828125 0.001953125 0.0024414062 0.0043945312 0.0036621094 0.0029296875 0.0026855469 0.0036621094 0.30029297 0.001953125 0.024902344 0.011962891 0.016113281 0.009765625 0.080566406 0.041748047 0.0024414062 0.0009765625 0.0021972656 0.0009765625 0.0014648438 0.0014648438 0.0014648438 0.0017089844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 70.375 563.0 0.012433393 0.001776199 0.0 0.0 0.005328597 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012433393 0.0 0.003552398 0.001776199 0.001776199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001776199 0.106571935 0.0 0.0 0.21314387 0.0 0.0 0.10479574 0.0 0.10479574 0.0 0.0 0.0 0.0 0.10479574 0.001776199 0.106571935 0.0 0.0 0.001776199 0.001776199 0.0 0.0 0.0 0.106571935 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014209592 0.003552398 0.007104796 0.008880994 0.003552398 0.0 0.003552398 0.001776199 0.003552398 0.0 0.0 0.0 0.003552398 0.007104796 0.005328597 0.001776199 0.0 0.021314388 0.007104796 0.007104796 0.001776199 0.0 0.0 0.0 0.0 0.005328597 0.0 0.0 0.0 0.0 0.0 3.6139152 0.0 0.0 0.0 1.0 3584.0 12288.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0563283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.992663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2084.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 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


Input: 0.37017465 0.020450369 0.012752757 0.00792739 0.008731618 0.006204044 0.008272059 0.0034466912 0.0034466912 0.0017233456 0.01930147 0.0028722426 0.0016084559 0.007467831 0.002757353 0.00057444855 0.0018382353 0.00390625 0.0048253676 0.002757353 0.00034466913 0.00057444855 0.0029871324 0.0012637868 0.0011488971 0.0025275736 0.00034466913 0.00034466913 0.0014935662 0.0011488971 0.00045955883 0.00057444855 0.06330423 0.0026424632 0.0060891546 0.0017233456 0.001953125 0.0011488971 0.00045955883 0.0028722426 0.0068933824 0.00390625 0.003102022 0.002757353 0.0014935662 0.0011488971 0.008846507 0.0049402574 0.0033318014 0.0026424632 0.00022977941 0.0025275736 0.00091911765 0.00080422795 0.00045955883 0.0013786765 0.00057444855 0.00091911765 0.0014935662 0.0018382353 0.0022977942 0.0022977942 0.0021829044 0.00057444855 0.0017233456 0.0029871324 0.0014935662 0.006318934 0.0028722426 0.0011488971 0.0012637868 0.00091911765 0.0028722426 0.0024126838 0.000114889706 0.000114889706 0.00068933825 0.0011488971 0.0010340074 0.0012637868 0.0026424632 0.000114889706 0.0028722426 0.0052849264 0.0034466912 0.0012637868 0.00045955883 0.0021829044 0.00068933825 0.00068933825 0.00057444855 0.00034466913 0.0012637868 0.00045955883 0.00068933825 0.0075827204 0.00068933825 0.014935662 0.0045955884 0.009765625 0.008272059 0.03125 0.0035615808 0.0051700366 0.0033318014 0.01596967 0.001953125 0.001953125 0.013556985 0.0072380514 0.013671875 0.022403494 0.010454963 0.00057444855 0.020909926 0.015625 0.02734375 0.00769761 0.0021829044 0.0025275736 0.00390625 0.0045955884 0.00045955883 0.00091911765 0.00034466913 0.0010340074 0.0029871324 0.00022977941 0.0024126838 0.0012637868 0.00034466913 0.00057444855 0.00068933825 0.00022977941 0.00022977941 0.00034466913 0.00022977941 0.00045955883 0.0 0.00034466913 0.00068933825 0.00057444855 0.0 0.00068933825 0.00034466913 0.00091911765 0.000114889706 0.000114889706 0.00034466913 0.00034466913 0.0 0.0 0.00034466913 0.000114889706 0.00022977941 0.00068933825 0.00034466913 0.00022977941 0.00045955883 0.000114889706 0.00045955883 0.00045955883 0.00045955883 0.00022977941 0.000114889706 0.0 0.0 0.000114889706 0.00057444855 0.00022977941 0.00034466913 0.00022977941 0.00034466913 0.000114889706 0.00022977941 0.000114889706 0.00068933825 0.00034466913 0.0 0.000114889706 0.00045955883 0.000114889706 0.000114889706 0.00034466913 0.00045955883 0.00034466913 0.000114889706 0.000114889706 0.00045955883 0.0 0.00034466913 0.00022977941 0.000114889706 0.00057444855 0.00022977941 0.00022977941 0.00022977941 0.0 0.00057444855 0.0 0.000114889706 0.00034466913 0.00034466913 0.0 0.0 0.00022977941 0.00022977941 0.0 0.00034466913 0.00068933825 0.000114889706 0.00022977941 0.00045955883 0.00022977941 0.000114889706 0.000114889706 0.000114889706 0.000114889706 0.000114889706 0.00034466913 0.0 0.0 0.0012637868 0.0 0.00068933825 0.000114889706 0.00034466913 0.0 0.00045955883 0.0011488971 0.00091911765 0.00080422795 0.00057444855 0.00034466913 0.00022977941 0.0 0.00034466913 0.00045955883 0.000114889706 0.0 0.00022977941 0.00022977941 0.0 0.00022977941 0.0 0.00022977941 0.0 0.000114889706 0.00068933825 0.00022977941 0.000114889706 0.000114889706 0.0 0.000114889706 0.000114889706 0.00045955883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.10246931 0.0077427453 0.009695871 0.0023716518 0.0025111607 0.0012555803 0.005092076 0.0055106026 0.0016741072 0.0008370536 0.00062779017 0.00048828125 0.00069754466 0.00055803574 0.00062779017 0.00069754466 0.095354356 0.0075334823 0.011090959 0.002580915 0.0035574776 0.0020228794 0.0039760047 0.004952567 0.0025111607 0.0014648438 0.0011858259 0.000906808 0.0014648438 0.0018833706 0.0013253348 0.0010463169 0.07861328 0.0027204242 0.023367746 0.005301339 0.0134626115 0.0163923 0.09151786 0.05231585 0.00062779017 0.00027901787 0.00013950893 0.0002092634 0.00013950893 0.0002092634 0.00034877233 6.975447e-05 0.1579241 0.01046317 0.066196986 0.0163923 0.013323103 0.015904019 0.07847377 0.051199775 0.0041155135 0.0021623883 0.0018833706 0.0023018974 0.0012555803 0.002232143 0.0034877232 0.0012555803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137.0 20.773722 2846.0 0.12789881 0.0007027407 0.00983837 0.001054111 0.001054111 0.0 0.001054111 0.0007027407 0.008081518 0.008432888 0.00035137034 0.0028109627 0.002108222 0.00035137034 0.020028109 0.005270555 0.0028109627 0.004216444 0.0007027407 0.005270555 0.002108222 0.00035137034 0.0007027407 0.001054111 0.001054111 0.0014054814 0.0017568517 0.004919185 0.0024595924 0.005973296 0.0024595924 0.00035137034 0.00035137034 0.008081518 0.0024595924 0.010892481 0.005973296 0.002108222 0.003865074 0.002108222 0.005973296 0.004919185 0.0 0.0 0.00035137034 0.0024595924 0.002108222 0.0017568517 0.005973296 0.0 0.007730148 0.014054813 0.005973296 0.003162333 0.001054111 0.0056219255 0.0 0.0 0.0007027407 0.0007027407 0.003162333 0.0007027407 0.0007027407 0.021433592 0.00035137034 0.03935348 0.011595221 0.024595924 0.02037948 0.091004916 0.00983837 0.014054813 0.005270555 0.04392129 0.003865074 0.002108222 0.034082923 0.018622627 0.035137035 0.048840478 0.023893183 0.001054111 0.055867884 0.035137035 0.07449051 0.020730851 0.005270555 0.0045678145 0.008784259 0.00983837 0.001054111 0.0017568517 0.0007027407 0.002108222 0.0 0.0 5.119731 1.0 0.0 0.0 1.0 8704.0 32768.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1484787000.0 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 6144.0 512.0 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 -6144.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.2116013 0.0 4.97245 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 -6100.0 0.0 1272.0 0.0 0.0 0.0 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 14204.0 1272.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 14032.0 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: 0.36034316 0.010567633 0.004139116 0.003220997 0.006073062 0.002299509 0.0028604881 0.002435121 0.0042654625 0.008501445 0.012226144 0.0011859739 0.0030912813 0.011655899 0.0009686576 0.0021731623 0.003052535 0.0012491471 0.0009501268 0.0011362775 0.0012575702 0.0021740047 0.00062752166 0.0008995881 0.0010267771 0.0008726342 0.0006224678 0.0007328105 0.0010149847 0.0009442306 0.0010082462 0.0009888731 0.016841166 0.00071849127 0.0019920655 0.002568206 0.0019229959 0.0012028201 0.0004986481 0.00061067543 0.0030432695 0.0020400772 0.0005197059 0.0006974335 0.0030129463 0.00768693 0.0048390767 0.0013485398 0.0046284986 0.0040161386 0.0022287548 0.0034821136 0.0023315167 0.0016340832 0.002136943 0.0015852292 0.0063063824 0.0019457383 0.007951415 0.0070981546 0.0017696953 0.0022624473 0.0016879912 0.00095433835 0.0035899293 0.0025370407 0.0015405867 0.002976727 0.0025277752 0.0047708494 0.0063316515 0.0014184517 0.0029480883 0.0022818204 0.0004219978 0.0009880308 0.0022312817 0.0023770016 0.0019609 0.0014858366 0.0042545125 0.0014740442 0.00417702 0.0048331805 0.002809107 0.0030264233 0.0031266583 0.0030845427 0.000929069 0.00096444605 0.0009256998 0.0006949066 0.0046958835 0.0013603322 0.0015212136 0.00356466 0.00058203685 0.014586299 0.0038392534 0.008957977 0.012456937 0.021768685 0.006041054 0.0041837585 0.0052652857 0.014710961 0.0034012517 0.0017612722 0.011872373 0.006820192 0.014689903 0.018997481 0.008113139 0.0002686972 0.01706522 0.014472587 0.02092469 0.0072834627 0.0034357863 0.0029581962 0.0038982152 0.0028217416 0.00067216414 0.0027189797 0.0041273236 0.004013612 0.0007622914 0.00075807987 0.0018834074 0.0007479721 0.00073617976 0.0041896547 0.0009855038 0.0031687738 0.00061151775 0.00036387832 0.0006216255 0.0025943178 0.00044895173 0.0070981546 0.00059045997 0.002654122 0.00035629753 0.00097286917 0.0015616445 0.0002543779 0.000262801 0.00032513204 0.0006923796 0.00035461292 0.00045821717 0.00022068547 0.000525602 0.00025269328 0.00031923584 0.00015751216 0.00037735532 0.0002855434 0.00025522022 0.00016509295 0.000690695 0.0004531633 0.00021226237 0.0005382367 0.00031670893 0.0002686972 0.00029565115 0.004582172 0.00038662073 0.0003226051 0.0004295786 0.00054076366 0.00035713986 0.0001465621 0.00032934357 0.00041273236 0.00035798215 0.00015751216 0.00018699303 0.00037230144 0.0004152593 0.0005365521 0.00026195872 0.00040515157 0.0010579425 0.00021226237 0.0002467971 0.00026195872 0.00039672846 0.00048938266 0.00048517113 0.00024258556 0.003044112 0.0005651907 0.0015338482 0.00090885354 0.0007757684 0.00024763943 0.0006292063 0.001067208 0.00053234055 0.00070417195 0.00087179185 0.00075723755 0.0017840146 0.00036472065 0.00035124368 0.00024932405 0.00040346695 0.0002602741 0.00028638574 0.00037314376 0.00038999 0.00016677757 0.00044895173 0.0004068362 0.00056603295 0.00022489703 0.00020805081 0.0006241524 0.00047253646 0.00011960816 0.000490225 0.00059045997 0.0005045443 0.0001314005 0.00029565115 0.00077913766 0.00054834445 0.0003613514 0.00025269328 0.0003226051 0.0036261487 0.0007370221 0.0008456802 0.0029371383 0.0015313213 0.0002771203 0.0003537706 0.0007479721 0.0013022127 0.00059551385 0.00030323194 0.0007825069 0.0007479721 0.0005677176 0.00093496515 0.0007243874 0.0021276774 0.0010469925 0.00036387832 0.0009661307 0.0018429764 0.00064352556 0.0009956115 0.01833711 0.080180585 4.63825e-06 2.5721205e-05 2.4456229e-05 1.2649773e-05 1.4758069e-05 1.39147505e-05 6.3248867e-06 1.6866364e-06 5.9032277e-06 4.216591e-07 4.216591e-06 1.2649773e-06 4.216591e-06 1.6866364e-06 8.433182e-06 0.02148311 3.5419365e-05 8.053689e-05 6.451384e-05 0.00013450926 0.00011258298 0.0002702835 0.00014505074 1.6444705e-05 2.0661297e-05 5.481568e-06 1.2228114e-05 1.1806455e-05 1.2228114e-05 1.8553e-05 2.9094479e-05 0.028577102 0.0001227028 0.00017667517 0.00012565442 0.00031371438 0.00023655077 0.0004195508 0.00025932034 9.655994e-05 7.63203e-05 6.7887115e-05 8.222352e-05 0.000100776524 8.222352e-05 0.0001555922 0.00019522817 0.014589406 8.095855e-05 0.00014083415 0.00022727426 0.00028124664 0.00027239177 0.00028841483 0.00016782033 4.4695866e-05 0.00011806455 5.481568e-06 2.2769593e-05 4.0900934e-05 5.4815686e-05 3.415439e-05 3.8370978e-05 0.009814959 8.939173e-05 0.00012944934 8.180187e-05 0.00044569367 0.00033690562 0.0005671315 0.0003394356 6.156223e-05 1.1384796e-05 1.6023047e-05 2.1504615e-05 4.258757e-05 1.2228114e-05 2.867282e-05 9.107837e-05 0.020200424 0.0002816683 0.00047057157 0.0002517305 0.0018666849 0.0013046133 0.0008428966 0.00048069138 0.00016613369 5.228573e-05 9.8668235e-05 7.083873e-05 6.8730435e-05 5.734564e-05 0.00021673278 0.0003402789 0.013883548 0.00018848162 0.00067001634 0.00039551625 0.00039846785 0.0003600969 0.0014568323 0.00084711314 0.00013324428 4.8490798e-05 6.114057e-05 5.692398e-05 0.00010288482 2.9937797e-05 9.065671e-05 0.00027492174 0.01765276 0.00031582266 0.00071429054 0.00065820984 0.00086271454 0.0008492214 0.0024755606 0.0016276041 0.0003394356 9.065671e-05 0.00018131341 7.126039e-05 0.0001412558 0.00010710141 0.0003681084 0.00031497935 0.045737784 0.00087578595 0.0077644307 0.006319405 0.0037890289 0.0029925148 0.016336339 0.0122061875 0.00072441035 0.00013535257 0.00022305766 0.00012818437 0.00026733187 0.00010963137 0.0001969148 0.0006392352 0.098648414 0.0034221853 0.025669763 0.01912435 0.0138582485 0.0126459785 0.09309685 0.051809255 0.00177139 0.0004343089 0.00058020296 0.00038750473 0.0014167746 0.0004844863 0.0011987769 0.0018763831 0.027876727 0.0016512171 0.0037502362 0.0037202984 0.005341578 0.0039589573 0.013778976 0.008547452 0.001264134 0.0007661546 0.00111824 0.00027197012 0.0006215255 0.00034576046 0.00036347014 0.001752837 0.011607432 0.0009462031 0.0014838184 0.0038936003 0.0016655535 0.0010895671 0.0039922683 0.0023528577 0.0010423413 0.00063375366 0.00086060626 0.00031708766 0.00055532507 0.00035419365 0.0008395233 0.0011810672 0.007476016 0.0006982675 0.0013902101 0.0035495264 0.0016895881 0.001196247 0.0035807292 0.002039565 0.001245581 0.0005549034 0.0008610279 0.00033817062 0.0006742329 0.0003638918 0.00090150716 0.0010743875 0.016372602 0.0036148836 0.002415685 0.0043177893 0.004117923 0.007216274 0.003491759 0.0049190754 0.009455284 0.00087367767 0.0016744083 0.0013455142 0.0042001465 0.0015803784 0.0045113307 0.011067708 0.018348075 0.005259354 0.0036928905 0.0077142534 0.0048393817 0.007895146 0.007767804 0.007369758 0.010420883 0.001979268 0.0036271117 0.0023718325 0.00528634 0.0019303554 0.0045341006 0.012317506 0.003165395 0.0009736109 0.0009913206 0.0015947147 0.0008049472 0.0009900556 0.0016583853 0.0012358829 0.0012632906 0.0006712813 0.000909097 0.00058821443 0.00086819613 0.0005080992 0.00079988735 0.0011123368 16288.0 20.706226 337263.0 0.050293095 0.00037359569 0.00197472 0.007294011 0.00062858954 0.001707866 0.0002490638 0.0004981276 0.0024906378 0.0016189147 0.0002490638 0.00040917622 0.008646072 0.023865648 0.012995793 0.0016544951 0.009182745 0.0068196035 0.004785583 0.004741107 0.0046076803 0.0026863308 0.0056928867 0.0036470054 0.003958335 0.00396723 0.02375001 0.020248292 0.0016011243 0.0041807136 0.0015299632 0.0014588021 0.0027515618 0.007433368 0.0041065873 0.007964111 0.0054794033 0.008397007 0.015691018 0.0038426984 0.0043912316 0.006437113 0.00024609873 0.0021822732 0.002570694 0.0036736908 0.0049812756 0.0037003763 0.004020601 0.0004803373 0.0043734415 0.006831464 0.007311801 0.0016722854 0.004785583 0.0027041212 0.0016011243 0.000263889 0.00057521876 0.00059004396 0.007507494 0.00053370814 0.00033801515 0.0092568705 0.00037359569 0.04655714 0.01181274 0.026658721 0.031399827 0.064596474 0.016616113 0.012737834 0.012079594 0.04392418 0.0010407309 0.0042162943 0.036247674 0.019462556 0.041931666 0.057622686 0.020636713 0.00021348325 0.051476147 0.038311347 0.0509543 0.01119008 0.010140454 0.006840359 0.009633431 0.0087350225 0.0011741578 0.0074541233 0.0005188829 0.00065824 0.00017790271 0.00010674162 5.5406528 438.0 48.0 0.0 18.0 1187210.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 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 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0