Input: 0.13899314 0.0070009716 0.0026854367 0.0024539488 0.010400237 0.0041984706 0.0009946063 0.0010394956 0.0103993565 0.0012199329 0.0016714666 0.0007604777 0.00621937 0.0017374803 0.00072703074 0.022387443 0.009873007 0.006919995 0.0005228284 0.00047001746 0.0026370268 0.0019760097 0.00049466256 0.00047969946 0.002570133 0.0011239931 0.0009805233 0.00047177784 0.001904715 0.00039520196 0.00030454315 0.00046737693 0.0052590906 0.0004427318 0.0005589159 0.00082297064 0.0066920277 0.0012577808 0.00083177246 0.0005527546 0.0022004563 0.0013898081 0.00078600296 0.0009567584 0.0014575822 0.00089866633 0.0014602228 0.0010694218 0.0031941824 0.0013722045 0.0014584624 0.0031721778 0.0024856355 0.0013722045 0.0012111311 0.001292108 0.0021890139 0.0012621817 0.0012577808 0.0045126956 0.0018281391 0.0013766055 0.001278025 0.0012965088 0.0031862608 0.0013431585 0.0014910292 0.0007807219 0.0017392406 0.019327048 0.0006328512 0.00076839933 0.0028861184 0.0008511365 0.00096379983 0.0008203301 0.0015174346 0.0103430245 0.00072967133 0.0007358326 0.007933085 0.008771899 0.002469792 0.0027224044 0.0015491212 0.008503444 0.0037830244 0.0057757576 0.0041412585 0.0022022165 0.00079216424 0.0023395251 0.0015975313 0.002536686 0.002565732 0.0032575554 0.0010192513 0.0020323414 0.0008009661 0.0014725453 0.0023984974 0.0027708146 0.0014074119 0.0007912841 0.0030445512 0.0018263787 0.002570133 0.0013774857 0.0018175769 0.0009057078 0.0013959694 0.0018932726 0.0016714666 0.0003916812 0.0021907743 0.0020147378 0.005125303 0.0028385886 0.001104629 0.00082825177 0.0015992916 0.000492022 0.00042248762 0.00037407756 0.000906588 0.0015271166 0.00039520196 0.00044009124 0.0017145956 0.004806677 0.0005289897 0.009032433 0.0012366564 0.011488142 0.00028517912 0.00025613312 0.0021793318 0.008912728 0.00091627 0.035869196 0.0006786207 0.01036943 0.0002464511 0.00027989803 0.0011407165 0.00050170405 0.00019716089 0.00043128943 0.00082385086 0.0016318584 0.00021916545 0.00019540051 0.0009514773 0.00030894406 0.00022356636 0.00022972764 0.000646054 0.0006645378 0.00019980143 0.00044625252 0.00115744 0.0014795868 0.00023500873 0.000646054 0.0007261506 0.00035647393 0.00024381056 0.0002710962 0.000684782 0.00021124381 0.00026405475 0.0022022165 0.0007851228 0.00023588892 0.00022796728 0.00035999465 0.0011627211 0.00036967665 0.00031158462 0.0007261506 0.0007155884 0.00032126662 0.00197689 0.0005421924 0.0042275167 0.0028227454 0.00036439556 0.0002464511 0.0009021871 0.0024847551 0.0007613579 0.0004013632 0.005488818 0.0023852945 0.0011081498 0.0019258393 0.0066867466 0.00183254 0.0013607622 0.0033816611 0.0022488663 0.0009514773 0.00028781968 0.00021564472 0.21720088 0.000776321 0.00055979606 0.00025613312 0.001774448 0.0008572978 0.0005721186 0.00032038643 0.0012120113 0.00026845565 0.00042336778 0.00033887028 0.0018281391 0.00091010873 0.00024821147 0.00026933584 0.0021863733 0.00034503156 0.00021740508 0.0002710962 0.0025454878 0.00064693415 0.00036703612 0.000342391 0.00084233464 0.002233023 0.00023500873 0.00022444654 0.013870796 0.0036157898 0.00027901787 0.0025428473 0.009166221 0.00026933584 0.00024469075 0.0002922206 0.0010984677 0.0008696203 0.0019161573 0.016869579 0.0064262124 0.0014778264 0.0018598257 0.0013149927 0.0073486436 0.001196168 0.0010377351 0.0017823696 0.0038833653 0.0021379634 0.006780926 0.06095704 0.0099097295 3.9661836e-06 4.4068705e-07 2.2034353e-06 4.4068706e-06 1.49833595e-05 1.7627483e-05 1.189855e-05 4.8475576e-06 0.0 8.813741e-07 2.6441223e-06 0.032435447 2.6441223e-06 3.0848094e-06 3.9661836e-06 0.005155598 0.00010840901 3.569565e-05 1.0576489e-05 1.41019855e-05 2.8203971e-05 4.8475576e-06 1.7627482e-06 1.189855e-05 7.932367e-06 2.2034353e-06 1.1017176e-05 0.0017927149 6.1696187e-06 1.1017176e-05 1.8068169e-05 0.004116458 0.00016305421 0.0007945587 1.6746108e-05 5.3323132e-05 0.00020491947 3.5254964e-06 2.6441223e-06 4.4068706e-06 5.7289317e-06 4.4068706e-06 7.932367e-06 1.7627482e-06 1.7627483e-05 1.7627482e-06 1.6305421e-05 0.003968387 0.00011854481 0.00017891894 6.081481e-05 4.186527e-05 4.2746644e-05 7.756092e-05 5.3323132e-05 2.9966719e-05 7.0509927e-06 7.4916798e-06 1.4542673e-05 0.0016190843 2.0271604e-05 2.4237788e-05 5.2882446e-05 0.00660017 0.00015512184 0.00016525765 6.830649e-05 0.00012515511 0.0002454627 0.00017142727 0.00013837573 0.00012956199 0.0001427826 3.0848092e-05 4.7153513e-05 0.0050445446 2.7763284e-05 6.345894e-05 0.00038251636 0.0062418915 0.00013088406 0.0011753123 8.990016e-05 0.0001463081 0.0005676049 0.00024017444 0.00013793504 0.00016966452 0.00011193451 3.569565e-05 7.13913e-05 0.0028701948 3.3492215e-05 5.949275e-05 0.00055350293 0.003716314 5.5967255e-05 0.00019963123 0.00013088406 5.9052065e-05 0.00021373322 0.00057024905 0.00031729467 4.6712827e-05 3.2610842e-05 1.7186794e-05 4.3628017e-05 0.0007174385 1.1457863e-05 3.701771e-05 0.00014851154 0.016303658 0.000252073 0.0017323408 0.0010788019 0.00090252707 0.0008236441 0.0039882176 0.002474017 0.0002454627 2.6000536e-05 6.78658e-05 7.888298e-05 0.0031672178 6.12555e-05 9.606978e-05 0.00029041278 0.010112886 0.0003811943 0.0014229785 0.0007932367 0.0008536108 0.0008377461 0.0028900257 0.0015966091 0.00031465056 4.935695e-05 8.945947e-05 8.901878e-05 0.0034166467 5.9052065e-05 0.00011810413 0.00044112775 0.003729975 0.0002926162 0.0005495367 0.00058214756 0.00044289048 0.00068703113 0.0010880564 0.00064516586 0.00051868864 6.698443e-05 9.651046e-05 0.00018773269 0.006063413 0.00011634138 0.00031112507 0.0008672721 0.0057641864 0.0009109001 0.0031562007 0.0026238507 0.003432952 0.0031112505 0.0034470542 0.0022801147 0.001622169 0.00023753032 0.00027278528 0.0003371256 0.011038329 0.00024678474 0.00074608315 0.0022889285 0.018905474 0.004215612 0.0028314143 0.011549526 0.0039802855 0.0064075897 0.0021990284 0.0019169886 0.008976354 0.0012290762 0.001623491 0.002202554 0.023447195 0.0015000987 0.005569403 0.014456739 0.06507185 0.012512428 0.007386796 0.0075427997 0.019427689 0.027485652 0.006293452 0.006180195 0.042097513 0.0031407767 0.0038939107 0.008411834 0.095363796 0.0047122664 0.017415512 0.054832485 0.048416525 0.01164163 0.0063445712 0.0053155674 0.01721588 0.019650675 0.00585629 0.005900359 0.033612084 0.0030363337 0.0030984706 0.006072227 0.059065286 0.0045928406 0.012641108 0.041836184 0.003964421 0.00067513256 0.00068879384 0.0007310998 0.0014710134 0.0006976076 0.0006892345 0.00068218354 0.0011290403 0.00072008267 0.0008439157 0.00078089745 0.00095452816 0.00064736925 0.00065265753 0.0009175104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2535.0 17.728994 44943.0 0.06437042 0.00093451707 0.00089001626 0.011748214 0.0075428877 0.011392208 0.0060076094 0.0060521103 0.006675122 0.0053178472 0.0042053265 0.0036935674 0.0062746145 0.012905235 0.01980286 0.0053623477 0.014396013 0.01096945 0.012104221 0.012237723 0.00985693 0.009256169 0.011147453 0.010479941 0.013261242 0.011036201 0.012793983 0.011992969 0.010991701 0.010257437 0.010435441 0.012638231 0.014106757 0.0070978794 0.0064748684 0.00656387 0.010101684 0.004895089 0.005896358 0.00491734 0.0053845984 0.0055181007 0.0036045657 0.0045168325 0.0075428877 0.006830875 0.0053623477 0.0052510956 0.008099148 0.0042943284 0.004984091 0.006942127 0.0066528716 0.0052733463 0.005896358 0.004828338 0.023296176 0.0032040584 0.0093896715 0.009167167 0.0017800325 0.0032040584 0.009256169 0.02414169 0.0044500814 0.026945243 0.0106356945 0.017889326 0.018534588 0.04054024 0.012326725 0.008410653 0.01096945 0.023830185 0.003782569 0.00493959 0.019335603 0.010791447 0.018045079 0.024186192 0.014173509 0.003560065 0.02794651 0.02360768 0.034154374 0.01370625 0.008432904 0.0074316356 0.009545424 0.0033598114 0.0022917918 0.0005785106 0.0014685268 0.0010680195 0.00053400977 0.0010235187 6.155078 2.0 0.0 0.0 4.0 1136128.0 1642496.0 1.0 0.0 226.0 1.0 1.0 0.0 1.0 0.0 1543761800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 956928.0 1024.0 4096.0 10.0 1.0 0.0 2.0 4.0 0.0 0.0 -1024.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 132096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -956928.0 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -6.124312 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 4.529775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3907738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.48789 -4.9399858 1.892744 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -28596.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 132028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28928.0 0.0 0.0 0.0 0.0 0.0 0.0 452873.0 0.0 -956516.0 -9528.0 -178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -2.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 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 0.0 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 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -3.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 1586660.0 1084.0 1609728.0 0.0 0.0 0.0 0.0 24076.0 1613824.0 56.0 1528400.0 0.0 0.0 0.0 0.0 24.0 1530500.0 64.0 1528456.0 0.0 0.0 1508.0 1585152.0 0.0 0.0 0.0 0.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016874425 0.0021685432 0.004990522 0.0018095128 0.0017377068 0.002391142 0.0018238741 0.0020321116 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053280103 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.003597484 0.0030732995 0.002628102 0.0024055033 0.0044376147 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.001989028 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.0027070886 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013104022 0.00013382523 9.403935e-05 0.000101273145 0.0057002315 0.002090567 0.00018446181 0.000101273145 8.318866e-05 1.4467592e-05 1.4467592e-05 3.978588e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003761574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1394980500.0 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 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 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 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.010849355 0.004232646 0.0039777034 0.0039595077 0.0042220484 0.0038771261 0.0038967216 0.0038359354 0.004298231 0.0037675507 0.0037633518 0.0038207388 0.004105075 0.0038157399 0.0037817475 0.0040306915 0.004024493 0.0038089415 0.0037947446 0.0037523543 0.003971505 0.0039015205 0.0037521543 0.003699966 0.0038929225 0.0038487324 0.0038533316 0.0038031428 0.0039419113 0.0038063421 0.0038089415 0.0037107635 0.0040262924 0.0037585527 0.003793145 0.0038433338 0.0043038297 0.0037663511 0.0038213388 0.003783747 0.0037997435 0.0038027428 0.0038627293 0.003847333 0.003846533 0.0037255601 0.00372676 0.0036401795 0.003872727 0.0038305365 0.0037659511 0.004004897 0.0038393347 0.0038277372 0.0038141403 0.0037635516 0.003820139 0.0038231383 0.0037389572 0.0040050973 0.0038561309 0.0037851469 0.0037871464 0.0037819475 0.003926515 0.0040198937 0.0042710374 0.0038657286 0.0038221385 0.004343621 0.004040889 0.0038367352 0.0039019205 0.0039125183 0.0037919453 0.0038521318 0.0039165174 0.0042166496 0.0038699277 0.003842134 0.0041328683 0.003979303 0.0039063194 0.0039741043 0.0038921228 0.0039453106 0.00408128 0.0039647063 0.0038081417 0.003924915 0.0038191392 0.003900121 0.003807342 0.0038919228 0.003960307 0.003775949 0.0037781484 0.0037941448 0.003789346 0.0038813252 0.0038931225 0.003961707 0.0040486874 0.0037339584 0.0038789257 0.0039179167 0.0039803027 0.0038037426 0.0038667284 0.0038941223 0.0039005207 0.0038309365 0.003846533 0.003776149 0.003894922 0.003924915 0.004183257 0.0042166496 0.003854931 0.0037971442 0.0038313365 0.0037417565 0.00377115 0.0037519543 0.0037735493 0.0038275372 0.0037171622 0.0036919678 0.0039049198 0.0038371352 0.0037513545 0.0042674383 0.003847333 0.003987901 0.003908519 0.003757953 0.0038885234 0.004449797 0.003877526 0.005522555 0.003828937 0.004439799 0.0038925225 0.003810541 0.003961707 0.0038347356 0.0039269147 0.0038569306 0.003775949 0.003819539 0.0038555309 0.0037049649 0.0037947446 0.0037819475 0.0038789257 0.0037429563 0.0037459556 0.003722161 0.0038393347 0.0036881687 0.003749155 0.0037823475 0.0038009433 0.003762352 0.0038321363 0.0037967442 0.0037523543 0.0038049424 0.003847333 0.0038475327 0.0038517318 0.003712563 0.0037793482 0.0038803255 0.0037385572 0.0037663511 0.0037407568 0.0037349581 0.0038125406 0.0037969442 0.0037753491 0.003819739 0.0039057196 0.00390372 0.0039597075 0.0038185392 0.0037901457 0.0037865464 0.0038027428 0.0037637516 0.003743756 0.0036923678 0.004045688 0.003930514 0.0038983214 0.004033691 0.0038009433 0.0037997435 0.0039655063 0.0039681057 0.0038695277 0.0038759264 0.0037919453 0.0038393347 0.0041678604 0.0038033428 0.0038277372 0.0037471554 0.0037783484 0.0037869464 0.0038485324 0.0038171397 0.003894722 0.0037861466 0.0038397345 0.003801743 0.0038261376 0.0037343584 0.0038405342 0.003960307 0.0038743268 0.003766551 0.0037645514 0.0037021656 0.0038185392 0.0038277372 0.0037921453 0.003801943 0.0038827248 0.0038133406 0.003767351 0.0037407568 0.00448159 0.0040700827 0.003802143 0.0038621295 0.003923116 0.0038339358 0.0038539313 0.0037829473 0.0039853016 0.0038785257 0.0037751491 0.0037241606 0.0037551536 0.0036697728 0.0038101412 0.0037451559 0.003775749 0.0037833473 0.0037143629 0.0037405568 0.003920916 0.0038181394 0.0039017205 0.006085228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003294548 3.400566e-06 5.000832e-06 5.600932e-06 1.1601931e-05 5.5009154e-06 1.8803128e-05 8.901481e-06 7.901314e-06 1.8002995e-06 1.6002663e-06 2.0003329e-06 1.9003162e-06 2.4003994e-06 2.2003662e-06 1.6002663e-06 0.00013892312 1.0001664e-06 2.800466e-06 3.7006157e-06 3.1005159e-06 2.4003994e-06 1.2702114e-05 5.000832e-06 2.7004494e-06 1.0001664e-07 3.0004992e-07 6.0009984e-07 9.0014976e-07 2.0003328e-07 5.000832e-07 2.9904977e-05 0.0016332718 4.3607255e-05 6.6111e-05 1.1701947e-05 0.00013242204 4.6007655e-05 0.00011631935 8.261375e-05 1.6002663e-05 3.9106508e-05 2.800466e-05 1.5902646e-05 1.490248e-05 1.550258e-05 7.4012314e-06 0.00018913148 0.0010370726 2.890481e-05 3.6806123e-05 1.1701947e-05 0.00010421734 2.5404228e-05 0.00013902313 5.930987e-05 1.4502413e-05 2.2003662e-05 6.3010484e-06 1.5402564e-05 1.9003162e-05 5.600932e-06 5.9009817e-06 0.00010751789 5.5309203e-05 5.000832e-07 8.0013314e-07 1.5002496e-06 1.9703279e-05 1.52025295e-05 7.15119e-05 3.540589e-05 8.0013314e-07 1.0001664e-06 5.000832e-07 1.2001997e-06 6.0009984e-07 3.0004992e-07 5.000832e-07 0.0 0.00021943651 6.701115e-06 1.4502413e-05 7.201198e-06 1.5002496e-05 9.801631e-06 4.920819e-05 2.590431e-05 5.600932e-06 6.0009984e-06 3.8006324e-06 4.8007987e-06 4.6007654e-06 1.610268e-05 9.201531e-06 1.1801963e-05 0.0005789963 3.7306207e-05 4.2707106e-05 2.9904977e-05 0.0002025337 6.021002e-05 0.00013682277 8.181361e-05 4.260709e-05 2.2803795e-05 1.340223e-05 2.5504243e-05 2.7204527e-05 5.8809786e-05 3.4605757e-05 3.8606424e-05 0.0002235372 1.790298e-05 1.9503246e-05 1.3202197e-05 9.2515394e-05 1.9303212e-05 3.4405726e-05 2.0903479e-05 2.3503912e-05 1.1601931e-05 8.401398e-06 1.3602264e-05 3.1505242e-05 3.6206024e-05 2.290381e-05 2.5504243e-05 0.004107083 0.0007254207 0.000624904 0.0006683112 0.0016471741 0.0013528251 0.0004428737 0.00096856116 0.0030667102 0.00032165353 0.00016682775 0.00041976984 0.001424637 0.00044897472 0.0012975159 0.0023904978 0.0023208861 0.0004403733 0.00040046664 0.000450675 0.00084924133 0.000871245 0.00040636762 0.0006381062 0.0016660772 0.0002500416 0.00011201864 0.000204334 0.00083803944 0.00027734615 0.00067261193 0.0012777126 0.059523005 0.060068395 0.060139507 0.060118604 0.060359143 0.060359742 0.060524773 0.05967643 0.060132407 0.060258627 0.060370345 0.06014761 0.060007386 0.060166813 0.060004983 0.05901892 22900.0 5.6751966 129962.0 0.010733907 0.010049092 0.010087564 0.010564626 0.011172497 0.010287623 0.010087564 0.010449208 0.010049092 0.0102953175 0.010472292 0.009741309 0.010279928 0.010026008 0.010049092 0.009310414 0.009949062 0.009956757 0.010172204 0.010287623 0.010218372 0.010433819 0.00999523 0.010218372 0.009849032 0.00982595 0.010087564 0.010549237 0.010703129 0.01041843 0.010095258 0.010256845 0.009872116 0.010626183 0.010041397 0.010764685 0.010179899 0.011149413 0.011295609 0.010210677 0.010664656 0.0110647725 0.010179899 0.010326095 0.010595405 0.010341484 0.010026008 0.01068774 0.010556932 0.010410735 0.010572321 0.0117957555 0.01077238 0.0110647725 0.010387652 0.0111955805 0.010010619 0.00972592 0.010141426 0.010379957 0.010126037 0.010656961 0.010556932 0.009987535 0.01041843 0.010472292 0.010456903 0.010656961 0.010449208 0.012365153 0.010826241 0.009872116 0.010241455 0.01197273 0.010010619 0.010341484 0.0107262125 0.010826241 0.011164802 0.0110263 0.010041397 0.010102953 0.011164802 0.010595405 0.012034287 0.010433819 0.010056786 0.010218372 0.01077238 0.010379957 0.010310706 0.010010619 0.0099028945 0.009887505 0.0099028945 0.009318109 6.583192 0.0 0.0 0.0 86.0 5001127.0 229376.0 0.0 0.0 132.0 0.0 1.0 0.0 0.0 0.0 1517151600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 4.0 0.0 158720.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 25600.0 0.0 0.0 0.0 0.0 0.0 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 -158720.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.8112781 0.0 0.0 4.4153056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4340637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.677506 0.0 3.2578456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 25332.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158533.0 0.0 8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 186292.0 8336.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 552.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.19102283 0.0067529995 0.004316652 0.004272754 0.004799532 0.003072871 0.0029997074 0.012518291 0.004667837 0.0032118817 0.0033289436 0.0026777876 0.0035118526 0.0029631255 0.0023924494 0.004887328 0.004580041 0.0023119696 0.0023705005 0.002114428 0.0023851332 0.0029192274 0.0035118526 0.0026485221 0.0025973076 0.002216857 0.002158326 0.0028972784 0.0024948786 0.002260755 0.0023192859 0.0024070821 0.0066725197 0.0023192859 0.0020485807 0.0024143986 0.00309482 0.0021290607 0.0020412642 0.0020924788 0.0022900205 0.002260755 0.0021729588 0.0023705005 0.0023266023 0.0021436934 0.002421715 0.0020924788 0.0026777876 0.0021875915 0.002421715 0.0048946445 0.0022388059 0.0029850747 0.0022095405 0.002158326 0.002480246 0.00293386 0.002421715 0.0039142524 0.0024875621 0.0039362013 0.0025021948 0.0026997365 0.007067603 0.0027802165 0.0021949077 0.0022827042 0.0033947907 0.003767925 0.00285338 0.0029484928 0.0025168275 0.002889962 0.0024582967 0.0023266023 0.0027655838 0.0034899034 0.002546093 0.0025899913 0.0032411471 0.002443664 0.0026338894 0.003072871 0.0021875915 0.002831431 0.0029411765 0.0029411765 0.002055897 0.0030875036 0.0022680715 0.0024582967 0.002216857 0.0028167984 0.0030362892 0.0024729294 0.0026338894 0.0036362307 0.002260755 0.0030436055 0.0030436055 0.0053628916 0.0041410592 0.0025387767 0.0029558092 0.0039800997 0.0028460638 0.002136377 0.0029631255 0.002546093 0.0039874157 0.004009365 0.003277729 0.002297337 0.00452151 0.0035557507 0.007389523 0.005392157 0.0026777876 0.002158326 0.0022461223 0.0025095113 0.002158326 0.0022388059 0.002260755 0.0026777876 0.0022241732 0.0023485513 0.003994732 0.0037020778 0.0023266023 0.005516535 0.0034825872 0.003906936 0.002626573 0.0022022242 0.0033069944 0.004419081 0.0036947615 0.0071553993 0.0024290313 0.00436055 0.0034899034 0.0025387767 0.0030582382 0.0024363478 0.0022534386 0.001997366 0.0022314896 0.0021510096 0.0018949371 0.002421715 0.0022241732 0.003906936 0.0020046826 0.0023266023 0.0020705296 0.0021949077 0.0020485807 0.002099795 0.0023705005 0.0024656132 0.0022022242 0.0024509805 0.0021729588 0.0021729588 0.0020851623 0.0022900205 0.0025021948 0.0022753878 0.002114428 0.0019388353 0.002260755 0.0023705005 0.001770559 0.0028387473 0.0022314896 0.0019754171 0.002033948 0.0021510096 0.002180275 0.0020485807 0.0022753878 0.0020412642 0.0023339186 0.0020193153 0.0022753878 0.0023778167 0.002158326 0.0021436934 0.0023485513 0.002524144 0.0046751536 0.0032484636 0.0024070821 0.003541118 0.0029484928 0.0024290313 0.00285338 0.0031826163 0.0024290313 0.0027582676 0.002480246 0.002443664 0.0038191397 0.002114428 0.0022022242 0.002180275 0.0026631549 0.0025607257 0.0024582967 0.0027802165 0.002136377 0.0023558678 0.002670471 0.0022753878 0.002831431 0.0026119403 0.0021510096 0.0024290313 0.0021510096 0.002260755 0.0021949077 0.0022095405 0.00285338 0.0022680715 0.0021436934 0.0022753878 0.002868013 0.002399766 0.0026192567 0.0032630963 0.0066725197 0.003643547 0.0034533215 0.0047556334 0.0032630963 0.0025899913 0.0032191982 0.0028753292 0.0034825872 0.0029777582 0.0029631255 0.0031021363 0.002546093 0.0035996488 0.0031826163 0.0034752707 0.003928885 0.0037386597 0.0028167984 0.0026338894 0.0038191397 0.0023558678 0.003687445 0.06897132 0.07575758 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070319897 7.398201e-06 6.658381e-05 4.4389206e-05 4.4389206e-05 3.3291904e-05 0.00024414062 9.617661e-05 0.0 0.0 3.6991005e-06 3.6991005e-06 0.0 0.0 0.0 0.0 0.006710168 7.0282906e-05 6.2884705e-05 1.10973015e-05 4.8088306e-05 2.9592804e-05 0.00024414062 5.9185608e-05 7.768111e-05 0.00014426491 7.398201e-06 2.5893703e-05 1.8495502e-05 2.9592804e-05 2.2194603e-05 1.4796402e-05 0.025838217 0.00017755682 0.00014796402 0.00010727391 0.00048458215 0.00021824692 0.00054006866 0.00025153882 0.00043649384 0.00029962714 0.00015166312 5.9185608e-05 0.00030332623 0.000118371216 0.00015166312 0.0010172526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017385771 0.00020345052 4.8088306e-05 4.0690105e-05 4.4389206e-05 7.398201e-06 5.5486507e-05 7.768111e-05 5.1787407e-05 1.4796402e-05 0.0 3.6991005e-06 3.6991005e-06 4.4389206e-05 0.00037730823 0.004864317 0.019627426 0.00060295337 0.0009321733 0.00031812262 0.0009876598 0.00046978574 0.0035511365 0.0021528765 0.00024044153 8.507931e-05 9.617661e-05 5.9185608e-05 9.987571e-05 7.0282906e-05 0.000118371216 0.0008914832 0.0047533438 0.00074721826 0.00015166312 0.00039950284 0.00027373343 0.00014426491 0.00038840555 0.00036251184 0.00032921994 0.00038470645 0.00019605232 0.0001294685 0.00019605232 0.00018125592 0.0017977628 0.01229211 0.018599076 0.0009025805 0.0018014619 0.0011467211 0.000995058 0.0009062796 0.0052527227 0.003244111 0.0012022076 0.0010394473 0.00041799835 0.00035881274 0.00063994434 0.00040320194 0.0021232837 0.0139973955 0.017174924 0.0020012134 0.0007139264 0.0008618904 0.0017385771 0.0009395715 0.0026818477 0.0023933179 0.0019198331 0.000736121 0.0009062796 0.00069543085 0.000995058 0.0008507931 0.003462358 0.014959162 0.010753285 0.0013982599 0.0006547408 0.0024229106 0.0014278528 0.000921076 0.0013168798 0.00094327057 0.0015018347 0.0016497988 0.0008507931 0.00062514795 0.0015055338 0.00081750116 0.0031923237 0.015473337 0.007302024 0.00075831555 0.00028852982 0.0010431464 0.0015240293 0.0009839607 0.0007139264 0.000995058 0.0019494259 0.0008655895 0.00075831555 0.0007139264 0.0016830907 0.00061405066 0.0023452297 0.0077644116 0.015809955 0.0021269827 0.0017422762 0.0033402876 0.0061885947 0.003462358 0.0015240293 0.0034401633 0.011160186 0.0011134292 0.0009654652 0.0010098544 0.0038211707 0.0014093573 0.0035141453 0.007553563 0.013549805 0.0029703777 0.0027817234 0.0039950283 0.0049493965 0.004350142 0.004013524 0.0048495205 0.009414211 0.0010468455 0.0016017104 0.001842152 0.0054857656 0.0027706262 0.003991329 0.008145419 0.03223396 0.03062855 0.030480588 0.030695135 0.030425102 0.030539773 0.029344963 0.030214252 0.03145345 0.030214252 0.030724728 0.029959014 0.03145345 0.031834457 0.030617453 0.031605113 536.0 11.324627 6070.0 0.07100494 0.0036243822 0.004777595 0.002800659 0.0036243822 0.0039538713 0.0026359144 0.0044481056 0.0044481056 0.0019769357 0.0029654037 0.0036243822 0.0036243822 0.0057660625 0.013673806 0.0044481056 0.008731466 0.0075782537 0.007413509 0.0092257 0.0062602963 0.0049423394 0.0049423394 0.0034596375 0.0042833607 0.005601318 0.0042833607 0.011037892 0.0039538713 0.034431633 0.0059308074 0.002800659 0.00461285 0.0092257 0.004777595 0.0072487644 0.0057660625 0.0052718287 0.007413509 0.012191104 0.0052718287 0.00955519 0.002800659 0.0034596375 0.00708402 0.00461285 0.0044481056 0.0052718287 0.007413509 0.0037891269 0.006919275 0.011202636 0.0064250412 0.004777595 0.006095552 0.0092257 0.0026359144 0.0042833607 0.0037891269 0.0029654037 0.005436573 0.0026359144 0.0049423394 0.004777595 0.002306425 0.03822076 0.0067545306 0.022405272 0.018616145 0.0693575 0.012520593 0.010214168 0.011367381 0.034266885 0.0037891269 0.0029654037 0.022734761 0.016144976 0.037067544 0.03871499 0.018616145 0.0036243822 0.03937397 0.02553542 0.05420099 0.0184514 0.006095552 0.006095552 0.005601318 0.0072487644 0.0034596375 0.0031301482 0.002800659 0.0026359144 0.0032948928 0.0037891269 5.8621016 0.0 0.0 0.0 3.0 136680.0 135168.0 0.0 0.0 62.0 0.0 1.0 0.0 0.0 0.0 1055359700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 20480.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7530227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1957983 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6471853 0.0 7.4150896 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5076.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16792.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 28184.0 24920.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 28080.0 0.0 0.0 264.0 24576.0 0.0 0.0 0.0 0.0


Input: 0.43992263 0.009014423 0.0056340145 0.0046011116 0.008976863 0.0038311298 0.0022911658 0.0013897235 0.009483924 0.001577524 0.0021597056 0.0011455829 0.0053335335 0.0022723859 0.0009390024 0.004751352 0.0061035156 0.0007136418 0.0005446214 0.0005258414 0.0023475061 0.0038311298 0.00067608175 0.0007136418 0.0022160457 0.00088266225 0.00060096156 0.0005821815 0.001577524 0.00048828125 0.00045072116 0.00069486175 0.008620042 0.0005821815 0.00069486175 0.0008451022 0.0044884314 0.0016150841 0.00037560097 0.0005070613 0.0009014423 0.00060096156 0.00013146034 0.0009953425 0.000769982 0.0011080229 0.00095778244 0.0004319411 0.0022348256 0.00080754206 0.0010141226 0.0027231069 0.0008451022 0.0021972656 0.0005821815 0.0005070613 0.0013333834 0.0020282452 0.0005446214 0.0033991886 0.0012019231 0.0012207031 0.00075120194 0.00060096156 0.01990685 0.0029484676 0.0009390024 0.0016902044 0.0051457332 0.008563702 0.0029109074 0.0024977464 0.0014460637 0.001934345 0.0005446214 0.00041316106 0.0014836238 0.0033991886 0.001953125 0.0007136418 0.010554387 0.0009390024 0.0009390024 0.0053523136 0.0009014423 0.0024038462 0.0032677283 0.0034555288 0.0016714243 0.0036245494 0.00037560097 0.0017277644 0.0013521635 0.0023099459 0.0022160457 0.0021033655 0.000769982 0.0038123499 0.0005258414 0.001577524 0.0029109074 0.0086388225 0.001577524 0.0012394831 0.0046011116 0.004187951 0.003530649 0.0004695012 0.0033991886 0.0012394831 0.0049954928 0.0038874699 0.0017653245 0.0003568209 0.005840595 0.0035118689 0.012676532 0.012451172 0.0012582632 0.0016714243 0.002366286 0.0014085036 0.00033804087 0.00022536058 0.0013709435 0.0018592248 0.00075120194 0.00041316106 0.008263221 0.0018592248 0.0006573017 0.011136568 0.0025916467 0.009408804 0.0004319411 0.001164363 0.0047889124 0.008112981 0.0032113881 0.015268179 0.0005070613 0.010479267 0.0007136418 0.0010141226 0.0024789663 0.0008451022 0.00020658053 0.00048828125 0.0009202224 0.00067608175 0.0005446214 0.00056340144 0.0004319411 0.00024414062 0.00041316106 7.5120195e-05 0.00030048078 0.00069486175 0.00022536058 0.00018780048 0.00022536058 0.0010704627 0.00020658053 0.000769982 0.0004695012 0.00045072116 0.00011268029 7.5120195e-05 0.00056340144 0.0002629207 0.00016902044 0.00028170072 0.0002629207 5.6340145e-05 0.00016902044 0.00011268029 0.0002629207 5.6340145e-05 0.00011268029 0.00016902044 0.0003568209 9.390024e-05 0.000769982 0.00016902044 0.0020094651 0.00015024039 0.00061974156 0.0003192608 0.0003192608 0.00037560097 0.0008263221 0.0024601864 0.006216196 0.0026479869 0.001953125 0.004563552 0.0030048077 0.00045072116 0.0012958234 0.00386869 0.0013897235 0.0015024039 0.00033804087 0.00033804087 0.0025916467 0.00011268029 0.00022536058 0.00030048078 0.00075120194 0.0009014423 0.0010141226 0.0006573017 0.0005258414 0.0008451022 0.0010516827 0.00011268029 0.0010516827 0.0002629207 0.0003568209 0.0007324219 0.00075120194 0.00045072116 0.00018780048 0.00018780048 0.0017841046 0.0006573017 0.00030048078 0.0002629207 0.0018028846 0.00020658053 0.0005821815 0.00030048078 0.0081881005 0.0017465445 0.00033804087 0.004300631 0.0039625904 0.00045072116 0.00041316106 0.00045072116 0.0027606671 0.0006573017 0.000394381 0.0010329026 0.001953125 0.00022536058 0.0017465445 0.0018780048 0.004563552 0.0010141226 0.0009202224 0.0010516827 0.0055401144 0.0020470251 0.0040189303 0.033372145 0.19561887 0.00014361214 3.829657e-05 9.5741425e-06 2.8722427e-05 4.787071e-05 2.8722427e-05 1.9148285e-05 4.787071e-05 2.8722427e-05 2.8722427e-05 9.5741425e-06 9.5741425e-06 9.5741425e-06 9.5741425e-06 0.0 0.018669577 9.5741425e-06 3.829657e-05 1.9148285e-05 7.659314e-05 4.787071e-05 3.829657e-05 5.7444853e-05 8.616728e-05 4.787071e-05 0.000134038 1.9148285e-05 2.8722427e-05 9.574142e-05 4.787071e-05 0.00019148285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.034983914 0.00045955883 0.00062231923 7.659314e-05 0.00033509498 0.00028722428 0.0004308364 0.0003159467 0.0003638174 0.00016276042 0.00015318628 7.659314e-05 6.7019e-05 0.0003159467 0.0003159467 0.0002489277 0.016027113 0.00016276042 0.000268076 4.787071e-05 0.000114889706 7.659314e-05 0.00015318628 0.0006510417 0.0012733609 0.00014361214 5.7444853e-05 0.00014361214 5.7444853e-05 1.9148285e-05 0.00014361214 0.000268076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050130207 0.00042126226 0.0022594975 0.0019626992 0.0030158549 0.0021924786 0.00903799 0.0048828125 0.0016467525 0.00014361214 0.00016276042 0.0002489277 0.00085209863 0.00022020527 0.00045955883 0.0007946538 0.04592716 0.00096698833 0.0027765012 0.0008425245 0.0047200522 0.003035003 0.00697955 0.0048349416 0.0034083945 0.00057444855 6.7019e-05 0.00029679842 0.0007563572 9.574142e-05 0.0006510417 0.0024988512 0.010531557 9.574142e-05 0.0012350644 0.00021063113 0.0003638174 0.00039253983 0.0033509498 0.0018573835 0.000536152 5.7444853e-05 0.0 9.5741425e-06 0.00014361214 0.0 0.000114889706 0.00070848654 0.0053806677 0.000105315565 0.00037339155 0.000268076 0.0019914217 0.00094784005 0.0057827816 0.003092448 0.0008425245 8.616728e-05 0.000134038 0.000134038 9.574142e-05 0.000114889706 7.659314e-05 0.0001819087 0.011555989 0.0003159467 0.0028722426 0.0019722732 0.0029488357 0.0018765319 0.009507123 0.005064721 0.0018286612 0.00016276042 0.00015318628 0.000114889706 0.00022977941 0.00015318628 0.000134038 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07715801 0.012963388 0.008109299 0.009784773 0.029038373 0.02267157 0.007266774 0.01731005 0.049919575 0.006519991 0.0026807599 0.0053710938 0.018660003 0.0054285387 0.016697304 0.04375383 0.03546262 0.007592295 0.004921109 0.00702742 0.012494256 0.011421951 0.00402114 0.010186887 0.02114928 0.0015127144 0.0017712163 0.002757353 0.010464537 0.0033605238 0.0073337927 0.015385646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 211.0 17.251184 3640.0 0.05412088 0.0005494506 0.0027472528 0.00082417583 0.0010989011 0.012912088 0.0 0.0010989011 0.0021978023 0.0005494506 0.0 0.0005494506 0.0005494506 0.0076923077 0.0038461538 0.0002747253 0.011538462 0.0054945056 0.004945055 0.0032967033 0.0016483517 0.0021978023 0.00467033 0.0021978023 0.0024725276 0.0032967033 0.0005494506 0.0002747253 0.0063186814 0.00082417583 0.0065934067 0.0002747253 0.0010989011 0.02445055 0.00467033 0.012912088 0.026923077 0.014010989 0.00989011 0.016208792 0.0054945056 0.014835165 0.0 0.0016483517 0.0052197804 0.006868132 0.015384615 0.006043956 0.020329671 0.0005494506 0.0101648355 0.020879121 0.004945055 0.0052197804 0.006043956 0.0074175824 0.0101648355 0.0010989011 0.0 0.0016483517 0.010439561 0.0013736264 0.0005494506 0.003021978 0.0013736264 0.03434066 0.004945055 0.01456044 0.025824176 0.08901099 0.00989011 0.013736264 0.008516484 0.041483518 0.0010989011 0.0038461538 0.031868134 0.012912088 0.049175825 0.037637364 0.014285714 0.0 0.04945055 0.02967033 0.05576923 0.024725275 0.0063186814 0.006043956 0.006868132 0.007967033 0.0010989011 0.0010989011 0.0 0.0013736264 0.0 0.0 5.506754 1.0 0.0 0.0 2.0 53248.0 106496.0 0.0 0.0 71.0 0.0 1.0 0.0 0.0 0.0 974079740.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 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 5.439834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6071743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5215225 0.0 3.9273894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2994.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18012.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26343.0 0.0 49046.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 34108.0 3828.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.18277481 0.006902974 0.0054354127 0.005852128 0.0069537046 0.0038265307 0.0029532409 0.0024966663 0.009468489 0.0021995304 0.0022538844 0.0028517798 0.0066312035 0.0026597288 0.003054702 0.008526351 0.006681934 0.0018734057 0.002424194 0.0021125637 0.0042794817 0.0030402075 0.002525655 0.0010580937 0.0026452343 0.0014748087 0.0011704256 0.0012755102 0.0019422541 0.00094938546 0.0010109867 0.0016088822 0.0050223214 0.0012972519 0.001750203 0.0015291627 0.004833894 0.0012392742 0.00097112707 0.0011124478 0.0016994724 0.0010472229 0.0017357084 0.0190783 0.0015327864 0.0024459357 0.0010327285 0.0009783743 0.0034279337 0.0017429558 0.0016125058 0.006109404 0.0030691964 0.002424194 0.0019458778 0.0015436573 0.002286497 0.0027720605 0.0019639959 0.0039859693 0.018875377 0.0021705416 0.0014494434 0.0015291627 0.004859259 0.024086125 0.0016125058 0.0074102795 0.00531221 0.008417643 0.00272133 0.001953125 0.0021161875 0.0021161875 0.0013624768 0.0008008175 0.0018951473 0.0042070094 0.0013443588 0.0010907062 0.0046527134 0.0021451763 0.0012428977 0.0024459357 0.0018444167 0.003822907 0.003572878 0.0031634104 0.0018226751 0.0042831055 0.0010689645 0.0016596128 0.0014603143 0.00434833 0.0028481563 0.002387958 0.0016306238 0.0029061341 0.0013371116 0.0020038555 0.002583633 0.004583865 0.005275974 0.0009964923 0.0040403237 0.0023336038 0.0048991186 0.0010254813 0.0024278178 0.0015690225 0.0028409092 0.0034243101 0.002869898 0.00095300906 0.004359201 0.0032068936 0.01066428 0.010262059 0.0023480984 0.0012356505 0.0017791918 0.0018407932 0.0012102852 0.00094938546 0.001953125 0.0030510784 0.0017828154 0.002054586 0.0034859115 0.0028662744 0.0017465793 0.011229563 0.002536526 0.008000928 0.00095300906 0.0007645814 0.0028554036 0.010066384 0.0021415527 0.039598793 0.0014204546 0.007000812 0.0011704256 0.0010327285 0.0021343054 0.00087328965 0.001268263 0.00096750347 0.0013117463 0.0014965503 0.0007138509 0.00058340095 0.0012610158 0.0010762117 0.0007645814 0.00078269944 0.0011885436 0.00086966605 0.0007174745 0.00056890654 0.0016306238 0.0017574502 0.001203038 0.0018154279 0.0010979534 0.0010435992 0.00087691325 0.0007355925 0.0017900626 0.0010762117 0.001232027 0.0010798353 0.001148684 0.0008298064 0.0008044411 0.0007573342 0.0016052586 0.0012501449 0.0008406772 0.000851548 0.001101577 0.000934891 0.0015798933 0.0016994724 0.0019168889 0.0009819979 0.0011668019 0.0008298064 0.0013950893 0.0009421382 0.0013407351 0.001232027 0.0071674976 0.004721562 0.0030583255 0.004804905 0.00298223 0.0011124478 0.0028191675 0.0038337777 0.0030003479 0.0024495593 0.0014748087 0.0010653409 0.022752639 0.0009312674 0.0012827574 0.0011994144 0.0024459357 0.0014095837 0.0016523654 0.0014784323 0.0015110448 0.0012066617 0.0013298644 0.0009783743 0.0022828733 0.0012646394 0.0010073632 0.0017103432 0.0015653989 0.0011704256 0.0008298064 0.00097475067 0.0038446486 0.0011668019 0.0011957908 0.000934891 0.0022176483 0.0026053744 0.01726287 0.0008914077 0.028242406 0.0024821719 0.0013407351 0.004210633 0.0039606043 0.00069935643 0.0009385146 0.0010291048 0.004130914 0.0014748087 0.0010073632 0.0012211561 0.0020147264 0.0007066037 0.0028481563 0.0019313834 0.0039461097 0.0020618332 0.0014603143 0.002065457 0.0036779626 0.0015762697 0.0026162453 0.051165354 0.007273204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018948228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0065116314 0.00013664587 3.0973064e-05 3.4616955e-05 0.00010202892 4.737057e-05 0.00014757754 0.00012207031 2.9151119e-05 1.8219449e-05 2.3685285e-05 4.372668e-05 1.4575559e-05 9.1097245e-06 2.3685285e-05 0.00016761894 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028695634 5.465835e-06 4.008279e-05 5.8302237e-05 0.00014757754 7.652169e-05 0.0002678259 0.00018766033 1.093167e-05 3.6438898e-06 3.6438898e-06 2.186334e-05 0.0 3.6438898e-06 5.465835e-06 2.9151119e-05 0.007546496 0.0002350309 0.0006814074 5.465835e-06 0.00013664587 9.656308e-05 0.0014411585 0.0008836433 0.00010202892 1.2753615e-05 2.0041394e-05 7.2877797e-06 7.2877797e-06 7.2877797e-06 7.2877797e-06 3.6438898e-06 0.011966535 0.00015850921 0.0008909311 0.00014575559 0.0013810343 0.0004044718 0.0016069554 0.0010567281 0.000495569 2.550723e-05 6.0124185e-05 9.656308e-05 3.8260845e-05 7.652169e-05 0.0001093167 0.00014393365 0.028032444 0.0032211987 0.0015705166 0.00080165575 0.0015850922 0.00091826025 0.004970266 0.0027930415 0.00059031014 0.00049192517 0.00050467876 0.0004901032 0.0005994199 0.0004044718 0.000429979 0.0011040986 0.022315182 0.00224828 0.0011733326 0.00078890217 0.0026582177 0.0010221112 0.0053492305 0.003111882 0.00067958544 0.000497391 0.0012407445 0.00062310515 0.00065407826 0.00066683185 0.0004700618 0.0012771834 0.012800985 0.0018292328 0.00094194553 0.00056115905 0.0018838911 0.00052836403 0.0016324627 0.0012389226 0.00067047577 0.0004372668 0.0010694817 0.0004463765 0.0005848443 0.0005392957 0.00043544485 0.0005192543 0.006781279 0.00072695606 0.0015723385 0.008973079 0.0014539121 0.0009364797 0.0040210327 0.0027292736 0.0008435605 0.00063403684 0.00060488575 0.00072695606 0.0010184672 0.0008308069 0.000827163 0.00090186275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022029137 0.0030918405 0.0021280318 0.0036001632 0.0065954407 0.005192543 0.0029333313 0.0055751516 0.011984754 0.0010348647 0.0010221112 0.0013828563 0.0060197064 0.0016379285 0.005954116 0.009370263 0.12334021 0.023723545 0.03731161 0.040212147 0.054448824 0.03288064 0.020948723 0.03224296 0.08067026 0.012651586 0.01345142 0.015364462 0.055000875 0.018037256 0.06410513 0.069640204 0.0017800402 0.00076703884 0.0010877012 0.0008490264 0.0012207031 0.00081258744 0.0006868733 0.00075064134 0.0012334568 0.0007852583 0.0009109725 0.0004864593 0.0010111794 0.00063768076 0.0009656308 0.0009401236 930.0 11.673119 10856.0 0.03730656 0.002487104 0.0034082534 0.0018422992 0.006263817 0.002394989 0.0018422992 0.0053426675 0.0035924835 0.0019344141 0.0030397936 0.018422991 0.0046057478 0.0023028739 0.0034082534 0.0029476788 0.009579956 0.009027266 0.009948416 0.010040531 0.01040899 0.010316876 0.0092114955 0.008474576 0.008566692 0.008014002 0.008658806 0.007645542 0.024778925 0.008935151 0.006355932 0.008935151 0.008750921 0.026068533 0.0034082534 0.006724392 0.007645542 0.0075534265 0.0064480472 0.0058953576 0.0057111275 0.0050663226 0.002210759 0.0019344141 0.006724392 0.004513633 0.0032240236 0.002487104 0.010316876 0.0031319086 0.0032240236 0.009027266 0.007829771 0.004237288 0.0057111275 0.008014002 0.004053058 0.0030397936 0.002487104 0.0027634487 0.004421518 0.0035924835 0.0023028739 0.01151437 0.006355932 0.03399042 0.008658806 0.024963154 0.02302874 0.066230655 0.0098563 0.008198231 0.008935151 0.028002948 0.0041451734 0.0041451734 0.027266027 0.011790715 0.031226972 0.044675756 0.015383198 0.002394989 0.044859987 0.029384673 0.054163598 0.018791452 0.008106116 0.0036845985 0.0070928517 0.009579956 0.0027634487 0.002118644 0.004053058 0.0019344141 0.0016580693 0.002487104 5.9332824 0.0 0.0 0.0 3.0 275968.0 339968.0 0.0 0.0 83.0 1.0 1.0 0.0 0.0 0.0 1418299800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 218112.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218112.0 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 -6.5698214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8543277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6633546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7501698 0.0 4.12427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26938.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -218043.0 0.0 1232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 250268.0 1232.0 327680.0 0.0 0.0 0.0 0.0 5240.0 331776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 247824.0 0.0 0.0 344.0 225280.0 0.0 0.0 0.0 0.0