Input: 0.18461391 0.0043945312 0.004237584 0.0045427596 0.005100795 0.00365339 0.0031389508 0.0027553013 0.005859375 0.0030866351 0.002999442 0.0030081612 0.0036882672 0.0028686523 0.0028512138 0.004961286 0.0043858117 0.0029296875 0.0029558453 0.0032174247 0.004106794 0.0031738281 0.002798898 0.0026245117 0.0036446708 0.0028250557 0.0024937221 0.0031389508 0.0033307758 0.0026419503 0.0025024414 0.003060477 0.0035574776 0.0025634766 0.0026245117 0.0028948102 0.0065307617 0.0039585656 0.0023367745 0.0030343193 0.003941127 0.0035138812 0.0027901786 0.0033046177 0.0030430385 0.002798898 0.0027814594 0.0029296875 0.003112793 0.0028773716 0.002798898 0.0042027063 0.002746582 0.0026419503 0.0025285992 0.0030430385 0.002798898 0.0028076172 0.0026157924 0.0032087055 0.0028250557 0.002598354 0.0025896344 0.0033743721 0.008832659 0.002859933 0.002659389 0.0030691964 0.0041765487 0.0030430385 0.003540039 0.00327846 0.003199986 0.0027814594 0.002633231 0.0029558453 0.0036446708 0.002912249 0.0032871792 0.0031215122 0.004560198 0.003932408 0.0035051617 0.0034092495 0.003452846 0.002798898 0.003452846 0.0032435826 0.0029209682 0.002886091 0.0023890904 0.0031651089 0.0028163365 0.0028948102 0.00327846 0.0038713727 0.0031215122 0.0034354073 0.0026506695 0.0030517578 0.0031738281 0.0034005302 0.0032087055 0.0031302315 0.0033743721 0.0036010742 0.0034005302 0.002746582 0.0031040737 0.0027814594 0.0029035297 0.003060477 0.002999442 0.0027029854 0.0032087055 0.0034005302 0.0042811804 0.0031302315 0.0027378628 0.003199986 0.0027204242 0.0027814594 0.0022495815 0.0030168805 0.0030779156 0.0026681083 0.0025285992 0.0026855469 0.0059116906 0.0034354073 0.0027553013 0.004865374 0.0028512138 0.003993443 0.0032435826 0.0031302315 0.0037841797 0.005100795 0.0035487583 0.00932966 0.0026419503 0.0051443917 0.0026419503 0.002633231 0.009643555 0.0025634766 0.0022583008 0.002798898 0.002546038 0.0027901786 0.0023454938 0.0026157924 0.0026768276 0.0026506695 0.0023890904 0.0030517578 0.0026157924 0.0022757393 0.0023978096 0.0027814594 0.0029384068 0.002633231 0.0023716518 0.0028076172 0.0028773716 0.002633231 0.002659389 0.002886091 0.002833775 0.002380371 0.0025111607 0.0029296875 0.0027378628 0.0024850029 0.0025896344 0.003199986 0.002406529 0.002598354 0.0026768276 0.0030517578 0.0029209682 0.0026506695 0.0028512138 0.0028250557 0.0031476703 0.002659389 0.0027291435 0.0032348633 0.002633231 0.002798898 0.0031040737 0.0027291435 0.00390625 0.0035749164 0.003705706 0.0039498466 0.0036969867 0.0029209682 0.0036097935 0.0044555664 0.0031651089 0.0029820034 0.0030517578 0.0027727399 0.004071917 0.0025024414 0.0029558453 0.002999442 0.002859933 0.0029035297 0.0030168805 0.0030430385 0.0026070732 0.0025285992 0.0030866351 0.0031040737 0.0026245117 0.0028076172 0.002598354 0.0029558453 0.0025111607 0.0028163365 0.0026157924 0.0030343193 0.0025547573 0.002746582 0.0025547573 0.0029820034 0.002546038 0.0027378628 0.0027553013 0.0028686523 0.0046822685 0.0037841797 0.0024239677 0.0029209682 0.002947126 0.00251988 0.0029645648 0.002973284 0.0035226005 0.0029209682 0.0031302315 0.003479004 0.0027814594 0.002659389 0.002973284 0.0031738281 0.0029209682 0.0029035297 0.0029209682 0.0030430385 0.0030779156 0.002633231 0.0030168805 0.009469168 0.072072074 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017111838 8.797861e-06 0.00022874436 0.00019355293 7.0382885e-05 0.00014076577 0.00012317004 0.00011437218 8.797861e-06 0.0 8.797861e-06 0.0 0.0 0.0 8.797861e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007931272 7.918074e-05 0.00010557433 0.00020674971 0.00018475507 6.598395e-05 0.0001451647 7.918074e-05 1.7595721e-05 8.797861e-06 1.7595721e-05 3.5191442e-05 0.00010117539 4.3989303e-06 1.7595721e-05 8.797861e-06 0.015202703 2.6393582e-05 0.00014076577 0.00033871763 0.00025953687 0.0001319679 0.000629047 0.0003079251 0.0003651112 1.7595721e-05 4.3989303e-06 0.00015836148 0.0001319679 4.3989303e-06 2.199465e-05 0.0002771326 0.0067875492 1.7595721e-05 3.079251e-05 6.158502e-05 0.00034751548 0.0001451647 0.001134924 0.00040030264 4.3989303e-06 2.6393582e-05 1.3196791e-05 1.3196791e-05 1.7595721e-05 4.3989303e-06 0.0 4.3989303e-06 0.006563204 0.00035631334 0.00020235078 4.8388232e-05 0.0002903294 0.00014956362 0.00021114865 3.959037e-05 0.0006862331 4.39893e-05 9.6776464e-05 7.478181e-05 4.39893e-05 5.2787163e-05 7.478181e-05 7.478181e-05 0.0061936937 2.6393582e-05 0.00014076577 0.00033871763 0.00025953687 0.0001319679 0.000629047 0.0003079251 0.0003651112 1.7595721e-05 4.3989303e-06 0.00015836148 0.0001319679 4.3989303e-06 2.199465e-05 0.0002771326 0.005872572 0.00027273368 0.00022874436 1.7595721e-05 0.0002463401 0.00025073902 0.00019355293 8.3579675e-05 0.000378308 0.00067743525 5.2787163e-05 3.959037e-05 0.00027273368 1.3196791e-05 0.00022874436 0.00018035613 0.010082348 0.0004794834 0.0010601422 0.00014076577 0.0017287795 0.0003651112 0.00015396255 0.00017155828 0.0004222973 0.00019795186 9.237754e-05 0.00023754223 0.00096776464 0.00017155828 0.00054106844 0.0012053068 0.014076577 0.0008753871 0.00040470157 0.00037390908 0.0011569186 0.0011481207 0.0025029914 0.0011657164 0.00189154 0.00027273368 0.00036071226 0.0004091005 0.00070822774 0.00029912725 0.0003959037 0.0009853604 0.0036731067 0.0006730363 0.0010821369 9.237754e-05 0.0013196791 0.00016276042 0.00021114865 4.8388232e-05 0.00070822774 6.598395e-05 0.00010557433 0.00015396255 0.00018475507 0.00014956362 0.00016276042 0.00021554758 0.00686673 0.0011789133 0.0007698128 0.0004530898 0.0009325732 0.0008621903 0.0002771326 0.00033871763 0.0034751548 0.00037390908 8.79786e-05 9.6776464e-05 0.00093697215 0.00018035613 0.00047508447 0.0007126267 0.016368419 0.003343187 0.004478111 0.0013944609 0.0047464455 0.0055250563 0.0018431518 0.0017727689 0.007940069 0.00448251 0.0004794834 0.0005322705 0.0034223676 0.00070822774 0.0020674972 0.0039590374 0.011344841 0.0027053421 0.0035587344 0.002203864 0.003598325 0.003651112 0.0016935881 0.002208263 0.008516328 0.002898895 0.0012888865 0.001953125 0.006286071 0.0023226351 0.0032200168 0.005613035 0.04009625 0.039933488 0.040250212 0.04082647 0.040962838 0.03996868 0.04042617 0.040434968 0.04051415 0.039458405 0.04091005 0.041297156 0.041217975 0.041266363 0.039814718 0.041270763 452.0 6.54646 2959.0 0.010476512 0.009800608 0.0070969923 0.010814465 0.010476512 0.011490368 0.00506928 0.01013856 0.0077728964 0.0077728964 0.00675904 0.008110848 0.0054072323 0.009462656 0.011490368 0.009462656 0.010814465 0.01013856 0.0145319365 0.011490368 0.007434944 0.009800608 0.0070969923 0.0070969923 0.0070969923 0.00675904 0.0060831364 0.010476512 0.009462656 0.0060831364 0.0054072323 0.01013856 0.007434944 0.009800608 0.0064210882 0.01351808 0.0070969923 0.008786752 0.011490368 0.01013856 0.009124705 0.009800608 0.0060831364 0.009462656 0.012166273 0.009462656 0.0060831364 0.0111524165 0.0077728964 0.009462656 0.0111524165 0.015883744 0.0084488 0.005745184 0.009124705 0.008786752 0.01182832 0.004055424 0.0064210882 0.007434944 0.0064210882 0.008786752 0.009124705 0.023994593 0.008110848 0.019263264 0.009124705 0.01858736 0.0168976 0.036160864 0.009462656 0.012166273 0.0077728964 0.021290977 0.0064210882 0.007434944 0.022980737 0.014193985 0.018925313 0.014869888 0.01520784 0.007434944 0.01993917 0.0145319365 0.024670497 0.009124705 0.01013856 0.009800608 0.009462656 0.009462656 0.00675904 0.0077728964 0.010814465 0.0064210882 0.004393376 0.0064210882 6.4492426 0.0 0.0 0.0 2.0 114688.0 114688.0 0.0 0.0 52.0 0.0 1.0 0.0 0.0 0.0 1036740540.0 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 16384.0 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 -16384.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.93713 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96560794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.201166 0.0 7.888972 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14266.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 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 -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 -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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 23352.0 1864.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 796.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.31692022 0.013569079 0.0055509866 0.0010279606 0.0023643093 0.0015419408 0.002158717 0.0012335526 0.001953125 0.0027754933 0.0012335526 0.00071957236 0.00071957236 0.0004111842 0.0008223684 0.0004111842 0.001953125 0.0005139803 0.0004111842 0.0002055921 0.0004111842 0.00071957236 0.0005139803 0.00030838815 0.00071957236 0.0005139803 0.0006167763 0.0006167763 0.0002055921 0.0004111842 0.00030838815 0.0004111842 0.051295232 0.00071957236 0.00071957236 0.0008223684 0.00071957236 0.0002055921 0.0004111842 0.0010279606 0.00071957236 0.0005139803 0.00030838815 0.0004111842 0.0030838817 0.0005139803 0.015008223 0.0002055921 0.0024671052 0.0013363487 0.001850329 0.0011307566 0.0017475329 0.0005139803 0.0008223684 0.0010279606 0.0009251645 0.0011307566 0.0008223684 0.0004111842 0.0006167763 0.00071957236 0.0004111842 0.0005139803 0.0013363487 0.007401316 0.0023643093 0.0078125 0.0025699013 0.002158717 0.0010279606 0.0010279606 0.0012335526 0.0038034539 0.00030838815 0.0020559211 0.001953125 0.001850329 0.0025699013 0.0031866776 0.0030838817 0.0013363487 0.0028782894 0.006373355 0.0032894737 0.0011307566 0.001850329 0.0008223684 0.0010279606 0.0009251645 0.00030838815 0.0004111842 0.001850329 0.0004111842 0.00030838815 0.005448191 0.0006167763 0.033203125 0.008634868 0.01274671 0.018606085 0.052734375 0.007915296 0.010896382 0.014288652 0.030941611 0.0004111842 0.0034950657 0.0181949 0.013569079 0.022717929 0.028166119 0.018297696 0.0008223684 0.03782895 0.024876645 0.037109375 0.013877467 0.008120888 0.0022615131 0.0014391447 0.016241776 0.0013363487 0.0006167763 0.00010279605 0.0006167763 0.0008223684 0.00030838815 0.0013363487 0.0002055921 0.00010279605 0.0002055921 0.00030838815 0.0002055921 0.0002055921 0.00030838815 0.0 0.0004111842 0.0002055921 0.0 0.00010279605 0.00010279605 0.0002055921 0.00030838815 0.00030838815 0.0002055921 0.0005139803 0.00030838815 0.00030838815 0.0002055921 0.0002055921 0.0 0.00010279605 0.0002055921 0.00030838815 0.0 0.0002055921 0.00030838815 0.0 0.0002055921 0.0004111842 0.00010279605 0.00010279605 0.0008223684 0.0 0.00010279605 0.00010279605 0.0002055921 0.0002055921 0.00030838815 0.0002055921 0.00010279605 0.0002055921 0.0 0.00030838815 0.0002055921 0.0002055921 0.0 0.00030838815 0.00010279605 0.00030838815 0.0 0.0004111842 0.0002055921 0.00030838815 0.0002055921 0.0002055921 0.00030838815 0.00010279605 0.00010279605 0.00010279605 0.00010279605 0.0002055921 0.0004111842 0.0002055921 0.00030838815 0.0005139803 0.0002055921 0.0005139803 0.0 0.0002055921 0.00030838815 0.0002055921 0.00010279605 0.00010279605 0.0002055921 0.00030838815 0.0004111842 0.00010279605 0.00030838815 0.00030838815 0.0002055921 0.00030838815 0.00030838815 0.0012335526 0.00010279605 0.0 0.00030838815 0.00010279605 0.00010279605 0.0002055921 0.0002055921 0.0 0.00030838815 0.0002055921 0.00010279605 0.00010279605 0.00010279605 0.0002055921 0.00010279605 0.0002055921 0.0002055921 0.00071957236 0.00010279605 0.0002055921 0.0 0.0005139803 0.0 0.00010279605 0.0002055921 0.0002055921 0.0004111842 0.0002055921 0.0 0.00030838815 0.0004111842 0.0 0.0002055921 0.00010279605 0.00010279605 0.0004111842 0.0002055921 0.00010279605 0.0002055921 0.00010279605 0.00030838815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06506348 0.00036621094 0.026062012 0.001953125 0.011169434 0.008178711 0.08843994 0.047912598 0.00018310547 6.1035156e-05 0.00012207031 0.0 0.00012207031 6.1035156e-05 0.00018310547 0.00012207031 0.06756592 0.00091552734 0.02166748 0.0021362305 0.010375977 0.008422852 0.08874512 0.048706055 0.00018310547 0.00012207031 0.00018310547 0.00018310547 0.00036621094 0.00018310547 6.1035156e-05 0.00018310547 0.02166748 0.00036621094 0.01763916 0.0007324219 0.004333496 0.0043945312 0.049194336 0.026245117 6.1035156e-05 0.00012207031 0.00012207031 0.0 0.0 0.0 6.1035156e-05 6.1035156e-05 0.1105957 0.004333496 0.009887695 0.007385254 0.013000488 0.008056641 0.046569824 0.034851074 0.0022583008 0.0018310547 0.0018310547 0.0015869141 0.0021362305 0.0022583008 0.0017089844 0.0017089844 0.032409668 0.0022583008 0.0063476562 0.005859375 0.0064086914 0.005004883 0.031311035 0.02368164 0.0014648438 0.0016479492 0.0015258789 0.0010375977 0.0018920898 0.0014648438 0.0014648438 0.0012207031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 95.0 45.71579 4343.0 0.11075293 0.00046051116 0.0 0.0009210223 0.0006907667 0.0 0.0 0.0023025558 0.00046051116 0.0006907667 0.00023025558 0.00023025558 0.0052958783 0.0009210223 0.02970297 0.0 0.0046051117 0.0025328114 0.0020723003 0.0016117891 0.0023025558 0.0006907667 0.0011512779 0.0016117891 0.0011512779 0.0013815335 0.00046051116 0.00023025558 0.00023025558 0.0009210223 0.0 0.00023025558 0.00046051116 0.012203546 0.0016117891 0.0064471564 0.0046051117 0.0023025558 0.0013815335 0.0023025558 0.0006907667 0.0025328114 0.00023025558 0.0013815335 0.0018420446 0.0023025558 0.0018420446 0.0036840893 0.0025328114 0.0023025558 0.0046051117 0.009670734 0.005526134 0.0011512779 0.0018420446 0.0009210223 0.0020723003 0.0018420446 0.00023025558 0.00023025558 0.0034538337 0.00023025558 0.0 0.00046051116 0.00023025558 0.052958783 0.01819019 0.026249137 0.029472714 0.10039143 0.014736357 0.011743035 0.022795303 0.057103384 0.0006907667 0.00575639 0.031084504 0.025328115 0.038682938 0.048353672 0.02302556 0.0016117891 0.057563897 0.048814185 0.06677412 0.023716325 0.010591757 0.0032235782 0.0025328114 0.017499425 0.0023025558 0.0009210223 0.0 0.0009210223 0.0 0.0 4.912135 1.0 0.0 0.0 2.0 9728.0 32768.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1538659300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 8704.0 512.0 4096.0 2.0 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 -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 -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 -5.099859 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8696.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 16800.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 24576.0 28.0 16552.0 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: 0.06761266 0.0061487863 0.004122109 0.004604994 0.0052109985 0.004341166 0.00416608 0.0036312295 0.005292545 0.0031843213 0.0032075061 0.0034569432 0.005394079 0.0045322413 0.0030939803 0.009519386 0.010293281 0.007880456 0.0028237565 0.0027398115 0.003739159 0.0046713506 0.0027821837 0.002770991 0.0038350965 0.002881319 0.0027454079 0.002829353 0.0033705996 0.003342618 0.002667059 0.0030428136 0.00407494 0.0028157618 0.002798973 0.0030755922 0.0043339706 0.003560076 0.0028949103 0.0027550014 0.0034721333 0.0027094313 0.0029356836 0.00353849 0.003302644 0.0030356185 0.0027262203 0.0027725901 0.0035776645 0.002886116 0.0028301524 0.004590603 0.0032954488 0.003281058 0.002817361 0.0026846475 0.0033482143 0.0033082403 0.002754202 0.0033698003 0.0032266937 0.003449748 0.0028557358 0.0028085667 0.0045578247 0.0040493566 0.004085333 0.003964612 0.004410721 0.005697081 0.004590603 0.00507029 0.003725568 0.003152342 0.0028805195 0.0030292226 0.0034585423 0.0036160394 0.0029316861 0.0030556053 0.004425111 0.0031507432 0.0042836037 0.003760745 0.0037967216 0.0036592113 0.0032562744 0.0032163004 0.003289053 0.0032738629 0.0027198244 0.002859733 0.0032762613 0.0034209667 0.0030564049 0.0030859855 0.0034873234 0.0031619358 0.0026662594 0.0031323552 0.0035288963 0.0036392242 0.003889461 0.0028693269 0.015584227 0.0051462403 0.0033889876 0.0027685927 0.0033897872 0.0031395506 0.0033082403 0.0034657377 0.0036951879 0.002934884 0.0032730633 0.003535292 0.0043027913 0.0041612834 0.002777387 0.0027701915 0.003341019 0.0029077018 0.0030244256 0.002777387 0.0032474801 0.0032402847 0.003031621 0.003028423 0.0052837506 0.003683995 0.0029476758 0.005373292 0.005312532 0.00693947 0.0031691312 0.0029612668 0.004014979 0.0058753644 0.0029900481 0.010962443 0.0032410843 0.005354105 0.0029580689 0.00274221 0.003428162 0.00268065 0.0026710564 0.0027134286 0.0031195635 0.0030755922 0.0026950408 0.0027949754 0.003357808 0.0027837828 0.0028157618 0.0028869153 0.003195514 0.0028885144 0.002798973 0.002881319 0.0037191722 0.004269213 0.0030364178 0.0046113897 0.0031723292 0.0027054339 0.002754202 0.0028157618 0.0035992505 0.002847741 0.0027861812 0.0028557358 0.003229092 0.002889314 0.0027765874 0.0028757227 0.0036975862 0.0029628659 0.0026462725 0.002789379 0.003281058 0.0031043736 0.0037503517 0.003026824 0.0062127444 0.0032562744 0.002946077 0.0028805195 0.0031187641 0.0029988424 0.0032418836 0.002942879 0.0049783504 0.0048344443 0.0032202979 0.0050894776 0.003541688 0.0027078323 0.0036959872 0.00651015 0.0038982553 0.0030340194 0.0030516079 0.0028973087 0.004493067 0.0027326162 0.0029692617 0.0030516079 0.0037111773 0.0030148318 0.002934884 0.002829353 0.0032266937 0.002703835 0.002739012 0.0028701264 0.0036600106 0.0029140976 0.0027845823 0.0028421446 0.0035480838 0.0029828527 0.0029204935 0.0027997724 0.0041061197 0.002934884 0.0028365483 0.0027797853 0.00370718 0.0030052382 0.0028437437 0.0027326162 0.005332519 0.004894405 0.0028045692 0.0030228267 0.0038039167 0.002795775 0.0029069025 0.0030396157 0.004238033 0.0028005717 0.0027861812 0.0031307563 0.0037183727 0.0031259593 0.003319433 0.0030867849 0.0041644815 0.0031843213 0.0031187641 0.0036544143 0.004102122 0.0035912555 0.0039470233 0.023658955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030257427 0.000118068005 0.00022653048 0.0001861072 0.00047947618 0.00017610143 0.0007340228 0.0005271036 0.00062636076 8.3648185e-05 0.00010686155 0.0001324763 0.00019491227 0.00020171619 0.00045986488 0.0009177286 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055027697 0.0007536341 0.000539911 0.00078044954 0.0013051517 0.0012150999 0.00087650487 0.0011158427 0.0028164221 0.00034339778 0.00030737705 0.00054991676 0.0013940029 0.00049868727 0.0014040087 0.0027279714 0.042943135 0.01401087 0.006993228 0.007541144 0.012712522 0.009751617 0.013650263 0.007036453 0.019578477 0.005458344 0.007525935 0.008377626 0.012109375 0.0059098043 0.008295578 0.018105628 0.065793894 0.04684018 0.041567143 0.041698817 0.045477796 0.0420154 0.046686493 0.040436093 0.04966901 0.040332433 0.042345192 0.04298996 0.045778368 0.041227747 0.042303167 0.047789127 4522.0 7.055506 31905.0 0.018335683 0.0071775583 0.008055164 0.007898449 0.00843128 0.008055164 0.006895471 0.008682025 0.008274565 0.006362639 0.0071462155 0.0077103903 0.0073029306 0.0066760695 0.00811785 0.006738756 0.00965366 0.007961134 0.0065506976 0.00955963 0.007929792 0.007083529 0.007585018 0.006738756 0.007585018 0.009089485 0.007052186 0.0065820403 0.0075536747 0.008149193 0.007992478 0.007773076 0.010029776 0.010123805 0.00883874 0.00996709 0.0088073965 0.008682025 0.011440213 0.00996709 0.0088073965 0.008713367 0.006832785 0.007334274 0.008525309 0.008023821 0.008086507 0.008368595 0.010656637 0.008211879 0.00811785 0.009904403 0.0093402285 0.006488011 0.009214857 0.009089485 0.008870083 0.007992478 0.0077417335 0.0074596456 0.010029776 0.0066133835 0.0073656165 0.011189469 0.009402915 0.01880583 0.00811785 0.016580474 0.014637204 0.033192288 0.009590973 0.0106252935 0.022755055 0.026860993 0.008274565 0.007428303 0.0164551 0.016831217 0.019746121 0.026234133 0.014543175 0.0122237895 0.02281774 0.026046075 0.025419213 0.012161103 0.008682025 0.0075536747 0.009841718 0.009935747 0.007992478 0.006738756 0.009026798 0.007992478 0.007929792 0.008023821 6.4415703 1.0 2.0 0.0 13.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9942465 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -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 -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 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 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.08288427 0.007532161 0.003532341 0.0030093645 0.01910514 0.0020734067 0.0031483583 0.0015809288 0.019889604 0.0017594208 0.0012804423 0.0015274313 0.008738107 0.0024528897 0.0017139228 0.0058567366 0.008077636 0.0028538716 0.0010624522 0.00094145763 0.0033588489 0.0027173776 0.0017229224 0.0010484528 0.0019369129 0.0013694384 0.0009359579 0.0008729607 0.0020029098 0.0008639611 0.0013724383 0.0012194451 0.0021254043 0.0010174542 0.00066846993 0.0008194631 0.002129404 0.00071696774 0.00074346655 0.0005814738 0.0009604568 0.00043148058 0.00075396604 0.001245944 0.0010784515 0.000844462 0.00036398362 0.0003019864 0.0011924463 0.0005044773 0.0006709698 0.0036728347 0.0006344714 0.00037048332 0.0003844827 0.00036948337 0.0016044278 0.0018364174 0.0005349759 0.004576294 0.0006154723 0.0010989505 0.00054297555 0.00041398138 0.0023863926 0.0025653846 0.0017874195 0.0005439755 0.0008244629 0.01576429 0.0037063332 0.0012029458 0.0024813884 0.0011859466 0.00058747357 0.0005534751 0.00044098016 0.010303036 0.0020084097 0.0007824648 0.011502982 0.00511127 0.0033403498 0.0021639026 0.0004959777 0.010242039 0.006103725 0.0033933474 0.0010549525 0.0016084276 0.0006984686 0.0015444305 0.0004754786 0.010262039 0.0046502906 0.0023913924 0.000511477 0.00030748616 0.00024948877 0.0002379893 0.0034533446 0.0008804604 0.0012004459 0.00024948877 0.0060532275 0.0003039863 0.004556295 0.00028698708 0.0005534751 0.00069896854 0.000688969 0.0002264898 0.0039828205 0.001976911 0.0021709022 0.0014834333 0.007955642 0.007977141 0.0011049503 0.0007804649 0.0034833432 0.0034723438 0.00082946266 0.00039598218 0.0006284717 0.0033203505 0.0017174227 0.0006314716 0.0035053422 0.0013909374 0.00029698663 0.0126019325 0.0019244134 0.0042113103 0.0013364399 0.00036398362 0.0028738708 0.019251134 0.0010594523 0.05754391 0.0011289492 0.012307947 0.0006609703 0.00034198462 0.0008599613 0.0002774875 0.00030598624 0.00027198775 0.0009124589 0.00069896854 0.0003314851 0.00026298818 0.0010559525 0.00041448136 0.00023848927 0.0003224855 0.0008244629 0.00050297735 0.00070796814 0.00026298818 0.00057447416 0.002159403 0.0003194856 0.0012329445 0.00051247695 0.00040248188 0.00025198865 0.00021649025 0.0006539706 0.00027648755 0.00034098467 0.0002929868 0.00052797626 0.00022149003 0.00029698663 0.0012639432 0.0010869511 0.00027948743 0.00020749067 0.0002954867 0.00080996356 0.00034198462 0.00053697586 0.0005884735 0.0018139184 0.0006629702 0.00058947346 0.00034948427 0.00048597812 0.00036098374 0.0008334625 0.00060097297 0.005651246 0.004406302 0.005706243 0.0055237515 0.005887235 0.0011914464 0.0046787895 0.007135679 0.0026603802 0.0016814243 0.0011564479 0.00074146665 0.26548207 0.0005024774 0.0036373364 0.0012929419 0.0022094005 0.00069946854 0.0015159318 0.00032148554 0.003155858 0.00021849017 0.00041848116 0.00034598444 0.0013424396 0.0008854602 0.00042548086 0.0009019594 0.0010904509 0.0023703934 0.0004399802 0.00046197922 0.0011684474 0.00032948516 0.00058097386 0.0006604703 0.0016299266 0.003063362 0.0006779695 0.00075846585 0.016075777 0.011731472 0.000645471 0.00266538 0.010122045 0.0006489708 0.00075646595 0.000933958 0.0054342556 0.0023058963 0.00061347237 0.000955957 0.0033138508 0.0006459709 0.0016129274 0.001132449 0.0029738662 0.0010994505 0.0010479528 0.0008644611 0.006952687 0.0006414711 0.0014359354 0.027162278 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.033811476 0.0 0.0 0.0 2.0511814e-05 3.251873e-06 1.2507204e-06 1.7510085e-06 1.7510085e-06 4.5025936e-06 7.5043226e-07 3.251873e-06 1.0005763e-05 2.2512968e-06 5.0028814e-07 1.2507204e-06 0.0014723481 2.5014408e-06 7.2541784e-06 3.7521613e-06 5.253026e-06 1.7510085e-06 1.0005763e-06 1.0005763e-06 2.5014408e-06 1.7510085e-06 4.002305e-06 1.5008645e-06 3.7521613e-06 0.0 1.5008645e-06 0.0 0.0004777752 2.5014407e-07 4.5025936e-06 5.753314e-06 2.9016714e-05 3.502017e-06 3.251873e-06 3.7521613e-06 5.0028816e-06 6.253602e-06 2.2512968e-06 1.0005763e-05 2.1512391e-05 2.5014408e-06 1.0005763e-06 3.7521613e-06 0.00090702245 1.7510085e-06 7.754466e-06 1.6259366e-05 5.027896e-05 6.253602e-06 4.5025936e-06 6.253602e-06 1.4258213e-05 1.7510085e-05 2.7515848e-06 3.502017e-06 3.001729e-05 3.001729e-06 5.0028814e-07 1.0005763e-06 0.0008522409 1.1006339e-05 1.2006916e-05 9.505475e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000204868 2.2262824e-05 9.005187e-06 1.8760806e-05 6.8789624e-05 0.00010606109 1.5759077e-05 3.376945e-05 0.00018260517 9.255331e-06 5.753314e-06 5.5031696e-06 0.0022630536 1.5258789e-05 5.2280113e-05 6.0785012e-05 0.00028241266 2.9266857e-05 1.2507204e-05 2.8516426e-05 8.3798266e-05 0.00013157578 8.7550425e-06 3.677118e-05 0.00026065012 1.07561955e-05 4.2524493e-06 8.7550425e-06 0.002043427 1.3507781e-05 6.1035156e-05 5.7783283e-05 0.0009585521 0.0001350778 5.9284146e-05 0.000116317 0.00029291873 0.00047252217 3.6270892e-05 0.00015558962 0.0008822582 3.7021324e-05 1.600922e-05 3.6270892e-05 0.005543443 6.053487e-05 0.00025514697 0.00016409451 0.0022748103 0.0003972288 0.00017209913 0.00022537982 0.00071916427 0.0010803723 8.329798e-05 0.0005300553 0.0021582432 7.154121e-05 3.376945e-05 6.928991e-05 0.01006955 0.00010030778 0.000553819 0.0004159896 0.009173034 0.0017052322 0.00060009566 0.0008374824 0.0027415792 0.004145638 0.0005152968 0.0021142177 0.007900801 0.00025189508 0.00023138328 0.00031343053 0.030039303 0.0005338075 0.0021032114 0.0018550685 0.021046624 0.0040283203 0.0013740414 0.0021725013 0.006369169 0.009565759 0.0017062328 0.005047157 0.017648166 0.00060985127 0.00065162533 0.000810717 0.050125122 0.0012989982 0.0047644945 0.005465648 0.07816602 0.016552035 0.0076208897 0.008410594 0.020202637 0.028447885 0.008716021 0.018351821 0.050176904 0.0035160251 0.004699207 0.004112619 0.11049965 0.0071416134 0.027432552 0.02347402 0.048981715 0.008235243 0.004298226 0.006432955 0.014585651 0.019069484 0.008128432 0.013928022 0.037009068 0.0030492563 0.0034352287 0.0037036333 0.06582992 0.00663257 0.014918843 0.023011755 0.004788508 0.0012339607 0.00062310894 0.00075543515 0.002025917 0.0019691342 0.0012332103 0.0017004794 0.004536363 0.0006836438 0.00046501786 0.00077269506 0.0035635526 0.0009793141 0.0022770616 0.0036425982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 772.0 5.626943 4344.0 0.019106815 0.010819521 0.0018416207 0.0023020257 0.011279927 0.00069060776 0.0036832413 0.0011510128 0.006675875 0.0032228362 0.005524862 0.009208103 0.0138121545 0.008747698 0.0034530386 0.00023020258 0.017495396 0.004373849 0.008747698 0.0036832413 0.004373849 0.0023020257 0.009898711 0.0023020257 0.03844383 0.005524862 0.028775323 0.030616943 0.0050644567 0.0025322284 0.009208103 0.00092081033 0.01864641 0.0073664826 0.0011510128 0.00092081033 0.0050644567 0.0029926335 0.0046040514 0.002762431 0.007596685 0.0018416207 0.00046040516 0.0020718232 0.0011510128 0.0025322284 0.006675875 0.0013812155 0.07757827 0.027163904 0.024631675 0.032918967 0.005985267 0.00069060776 0.041436464 0.042357273 0.0025322284 0.00092081033 0.007596685 0.0025322284 0.0025322284 0.002762431 0.018416205 0.011510129 0.0025322284 0.011279927 0.00023020258 0.0013812155 0.002762431 0.0018416207 0.009438306 0.00023020258 0.06008287 0.0020718232 0.065607734 0.00023020258 0.0013812155 0.0011510128 0.0016114181 0.00092081033 0.03752302 0.005985267 0.0071362797 0.007596685 0.027624309 0.056860037 0.0016114181 0.0018416207 0.0025322284 0.0034530386 0.00023020258 0.00046040516 0.0020718232 0.0016114181 0.03499079 0.00092081033 5.4886227 0.0 0.0 0.0 1.0 2000090.0 4079616.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1343938800.0 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 10.0 0.0 5.0 1.0 5.0 1.0 3167744.0 1024.0 4096.0 8.0 0.0 0.0 1.0 4.0 0.0 0.0 -1024.0 0.0 0.0 -140800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 492544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3167744.0 -26624.0 132608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6369247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -514.0 0.0 0.0 -140523.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 492436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3167709.0 -26533.0 132925.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3760128.0 135574.0 3796992.0 0.0 0.0 6048.0 4015104.0 125400.0 3936256.0 28.0 3177696.0 0.0 0.0 0.0 0.0 24.0 3389620.0 64.0 3379872.0 0.0 0.0 3552.0 3763980.0 64.0 3788800.0 0.0 0.0


Input: 0.03633774 0.0051498315 0.004343903 0.0044182446 0.0042357706 0.0038353405 0.0038826487 0.0038437885 0.004137775 0.003593731 0.0036545559 0.0036359704 0.00387758 0.0038623738 0.0038302718 0.004421624 0.0036951057 0.003210197 0.0032997446 0.0033723963 0.0034636336 0.0038589947 0.0035329063 0.0035785248 0.003561629 0.003362259 0.0033200195 0.0036156955 0.0034788398 0.003980644 0.0034112567 0.0036494872 0.0045466525 0.0033909818 0.0034044983 0.0033250882 0.0033200195 0.0034180149 0.003245678 0.0033707067 0.0034264629 0.0034197045 0.0032372302 0.0036951057 0.0033876025 0.0035768352 0.0036477975 0.0040904665 0.0038691321 0.003497425 0.0033690173 0.00399585 0.0034636336 0.003745793 0.0034923563 0.0036782098 0.0034450481 0.0035819039 0.004129327 0.004068502 0.003593731 0.003821824 0.0035126312 0.0037339658 0.005732736 0.0035177001 0.003385913 0.003745793 0.0038167553 0.0042898366 0.0036190746 0.003821824 0.0034484274 0.0034602543 0.0033081924 0.0035869726 0.003573456 0.0037204493 0.0037795845 0.0036494872 0.0042475974 0.0034551856 0.0035920413 0.0041191895 0.0035430437 0.004000919 0.0039671278 0.0038877174 0.0036798995 0.0038420989 0.003745793 0.0036545559 0.0034636336 0.0038201343 0.0039147506 0.004337145 0.0035650083 0.0040837084 0.003509252 0.0038792696 0.0035329063 0.0046480275 0.0034551856 0.0037272077 0.0039012341 0.004225633 0.003962059 0.0036393495 0.004164808 0.0039553004 0.004088777 0.0042188745 0.0038809592 0.0040752604 0.0043202494 0.00423746 0.005153211 0.005188692 0.004102294 0.0038843383 0.0037745158 0.0036984847 0.0036275226 0.0036207642 0.0036123164 0.0040549855 0.0035819039 0.0038826487 0.003913061 0.003793101 0.003362259 0.0045466525 0.0035177001 0.0041141207 0.0035143208 0.0036410391 0.0036680724 0.004457105 0.003622454 0.006023343 0.0033369153 0.004272941 0.0035126312 0.0037305867 0.0034366003 0.0033571902 0.0032152657 0.003333536 0.0034484274 0.0034720814 0.0033808441 0.0035599393 0.0033200195 0.0032304719 0.003385913 0.0035177001 0.0034180149 0.0035481125 0.0035548706 0.0036680724 0.0036173852 0.0039721965 0.0032879175 0.0036646933 0.0033876025 0.0034180149 0.0033588798 0.0035869726 0.0035362854 0.0041124313 0.003362259 0.0036832786 0.0034551856 0.0034551856 0.0035548706 0.0035126312 0.003394361 0.0035109418 0.0034872876 0.003953611 0.003722139 0.0036596246 0.0036714515 0.0036849682 0.0036190746 0.0035599393 0.0035548706 0.003845478 0.0034636336 0.003701864 0.003825203 0.0037170702 0.004264493 0.003705243 0.0034551856 0.0041056727 0.0036072477 0.0036359704 0.0037829636 0.0040042982 0.003541354 0.003509252 0.0034822188 0.0036140059 0.003590352 0.003465323 0.0035464228 0.0037086222 0.0037305867 0.003622454 0.003549802 0.003713691 0.0036089371 0.0037272077 0.0037441035 0.0035244583 0.003777895 0.0036832786 0.0037880323 0.0038099969 0.003722139 0.0037407242 0.0036106268 0.0037153806 0.0036038684 0.0035802145 0.0035464228 0.0037153806 0.0038184447 0.0035447332 0.0034230836 0.003793101 0.005040009 0.004131017 0.003760999 0.004144533 0.0039553004 0.003941784 0.0037069328 0.0036798995 0.003886028 0.0038319614 0.0036038684 0.003760999 0.0036967953 0.0039012341 0.0040431586 0.004144533 0.004046538 0.0036123164 0.0038116865 0.0037103118 0.004144533 0.0036207642 0.0040701916 0.011497574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015029907 3.8146973e-05 1.0172526e-05 9.324815e-06 4.6624078e-05 1.0172526e-05 1.864963e-05 1.780192e-05 8.477105e-06 3.390842e-06 2.6279025e-05 4.2385527e-06 3.390842e-06 5.9339736e-06 5.086263e-06 2.5431314e-05 0.0013970269 6.4426e-05 5.0014918e-05 5.086263e-06 7.120768e-05 2.4583605e-05 2.9669867e-05 2.7974447e-05 6.781684e-06 2.5431316e-06 2.3735895e-05 5.9339736e-06 1.695421e-06 1.0172526e-05 8.477105e-07 1.4411078e-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 0.0012410482 6.0187445e-05 5.4253473e-05 1.0172526e-05 0.00010342068 3.8146973e-05 2.9669867e-05 3.729926e-05 2.2040473e-05 7.6293945e-06 1.780192e-05 4.2385524e-05 5.086263e-06 2.0345053e-05 1.3563368e-05 3.306071e-05 0.004310608 7.544624e-05 0.00010172526 6.3578285e-05 0.00028652616 0.00013393826 0.0006154378 0.00039842393 0.00028567843 3.729926e-05 4.4080945e-05 7.459852e-05 0.00011952718 5.7644313e-05 0.00013478597 0.00020514595 0.0051371255 0.00015682644 0.0005103217 0.0003933377 0.00046963163 0.0005493164 0.002158271 0.0010503134 0.00018734402 7.2055394e-05 0.00036621094 8.392334e-05 0.00013224284 5.7644313e-05 7.035997e-05 0.0007578532 0.0038197835 0.00016445584 0.00016276042 0.00022294786 0.0001542833 0.00010087755 0.00019158257 0.0002738105 0.00040011934 0.00011698405 0.00012461345 0.00016360813 0.00026957193 0.00013563369 0.00024753145 0.0003958808 0.006102668 0.00015682644 0.00032806396 0.00048234727 0.0007019043 0.00066545274 0.00090196397 0.00072733563 0.00031195747 0.00019073486 0.0006137424 0.00036027696 0.0002916124 0.0002017551 0.0002755059 0.0015767416 0.003036499 0.00011020237 0.00037553575 0.00027041964 0.00040774874 0.00024668375 0.0005510118 0.0006417169 0.00040859648 0.00011867947 0.00010172526 0.00048658584 0.00037468804 0.00021447075 0.00033654107 0.0009994507 0.006369697 0.0007739597 0.0009808011 0.0008485582 0.0024956597 0.0015852186 0.0011299981 0.0018963284 0.0032229954 0.00032975938 0.000515408 0.0007637872 0.0012910631 0.0006095038 0.0014724731 0.0034925672 0.009495205 0.0021209717 0.001786126 0.0028271144 0.0037290785 0.0035764906 0.0025380452 0.0032780964 0.004609002 0.00056203204 0.0014131335 0.0008002387 0.0025405884 0.0013504028 0.0028915405 0.0050930446 0.05386861 0.052691143 0.052133348 0.053808425 0.052057054 0.054400973 0.054307725 0.056344774 0.053615995 0.053493075 0.05381097 0.055684406 0.054088168 0.05652025 0.056055706 0.056911044 2841.0 8.046462 22860.0 0.030358706 0.0061242343 0.008048994 0.0055993 0.0048993877 0.007480315 0.0059930007 0.006474191 0.005205599 0.006911636 0.00608049 0.0072178477 0.0056430446 0.009886264 0.0111986 0.010017497 0.014085739 0.009711286 0.008092739 0.0087051615 0.007130359 0.007567804 0.007567804 0.008092739 0.006474191 0.007961505 0.022134732 0.0062992126 0.007961505 0.006167979 0.007480315 0.0062117237 0.006517935 0.013648294 0.0066491687 0.009448819 0.016272966 0.0072178477 0.0072178477 0.013254593 0.007786527 0.011942257 0.006517935 0.0073490813 0.008005249 0.008136483 0.011592301 0.006736658 0.0139982505 0.0065616798 0.0084864395 0.013692038 0.009405075 0.008311461 0.009142607 0.008792651 0.010586177 0.0067804023 0.007655293 0.0059930007 0.0067804023 0.0068678916 0.0068678916 0.007480315 0.005818023 0.023272092 0.0087051615 0.017804025 0.013954505 0.033639546 0.0076990374 0.010586177 0.010411198 0.023490814 0.0072615924 0.00791776 0.017935257 0.017147856 0.02248469 0.023009624 0.011723534 0.007786527 0.022790901 0.021303587 0.02904637 0.014085739 0.010017497 0.008661417 0.0093613295 0.011417323 0.006430446 0.0063429573 0.0056430446 0.0074365702 0.0062117237 0.0061242343 6.398715 1.0 22.0 0.0 10.0 591864.0 593920.0 0.0 0.0 16.0 0.0 1.0 1.0 0.0 0.0 1187287900.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 581632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.609428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9618893 0.0 7.9245586 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 597.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -521.0 0.0 581632.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53.0 8736.0 60.0 8284.0 502084.0 12288.0 0.0 0.0 7160.0 505344.0 0.0 0.0 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 8192.0 0.0 0.0 0.0 0.0


Input: 0.0677078 0.0060952213 0.0041500907 0.004658559 0.005142243 0.004316382 0.0042100516 0.0035840604 0.0053908806 0.0031723292 0.0031883186 0.0033737975 0.0053756908 0.004476278 0.003013233 0.009457027 0.010250908 0.007926825 0.002774189 0.0027502046 0.003703982 0.004797668 0.0028205588 0.0027669936 0.003889461 0.0028797202 0.0027086318 0.0028237565 0.0034009798 0.0033330242 0.0027534026 0.0029340847 0.004171677 0.0028685273 0.0028357487 0.0030995766 0.004272411 0.0034337584 0.0028573347 0.0027765874 0.0035512818 0.0026982387 0.0029612668 0.0035464847 0.0032410843 0.003031621 0.0027597984 0.0027158272 0.0035129068 0.002866129 0.0027701915 0.004606593 0.0034025789 0.0032266937 0.0028165614 0.0027486058 0.003452946 0.003399381 0.0027733895 0.0033634044 0.0032178992 0.0035664719 0.0028165614 0.002798973 0.0044538924 0.0040693437 0.0040173773 0.0039422265 0.0044267103 0.0056730965 0.0046209833 0.005003134 0.0037399586 0.0030947798 0.002994845 0.0028837174 0.0034897218 0.003648818 0.0029484753 0.0030564049 0.0044283094 0.0031259593 0.0043011922 0.0038566825 0.0037631434 0.0037159743 0.003337821 0.0032946493 0.0032418836 0.0031467457 0.0026934417 0.0028797202 0.0033034435 0.0034329589 0.003120363 0.0030931807 0.0035272974 0.0031915165 0.0026934417 0.0030476106 0.0035640735 0.0036056463 0.0037655418 0.0028549363 0.015557844 0.005222191 0.0033538106 0.0027885796 0.003391386 0.0031947144 0.003319433 0.0034105736 0.0036360263 0.0029077018 0.0033753966 0.003412972 0.004376343 0.0041644815 0.002852538 0.0026942412 0.0033434173 0.0028837174 0.003016431 0.002852538 0.0032586728 0.0033186337 0.0031155662 0.0029788555 0.0053764903 0.003575266 0.0028549363 0.00548442 0.0052245893 0.007078579 0.0031747275 0.0028349494 0.0040453593 0.0059984843 0.0030588033 0.010868105 0.0031699308 0.0053804875 0.002846142 0.0027845823 0.003456144 0.0026198898 0.0026686578 0.002830952 0.0031907172 0.003117165 0.002723822 0.0027629964 0.0033386205 0.0027198244 0.002790978 0.002866129 0.0032610712 0.0028701264 0.0028333503 0.0029860507 0.003739159 0.0042124502 0.0029956445 0.00458021 0.0032019098 0.0026934417 0.00265027 0.0027566005 0.0035792633 0.0028365483 0.002817361 0.0028133634 0.0032210972 0.002862931 0.002749405 0.0029540716 0.0036576123 0.002886116 0.0027086318 0.0027821837 0.0032266937 0.0030244256 0.0037951225 0.0030891835 0.0062799007 0.0032194983 0.0029188946 0.0027837828 0.0031531416 0.0030747927 0.0031731285 0.0030180297 0.0049823476 0.00482565 0.0032266937 0.0050359126 0.0035624744 0.00268065 0.0036592113 0.006625275 0.0039837994 0.0030444127 0.0030524074 0.0028757227 0.004555426 0.0027669936 0.0030180297 0.003050009 0.0037479533 0.0030188293 0.0029252903 0.0028181602 0.0032027094 0.002720624 0.0027725901 0.0029116992 0.003560076 0.002906103 0.0027661943 0.002934884 0.003504912 0.003050009 0.0029005066 0.002763796 0.0041077184 0.0029316861 0.0027621968 0.0028181602 0.0036288311 0.0029276889 0.0028853165 0.0027645952 0.0053101336 0.004860027 0.0028117644 0.0030364178 0.0037911253 0.0026998376 0.0028053687 0.0029804544 0.004170078 0.0028221577 0.0028133634 0.0031443473 0.0036823961 0.0030556053 0.0033634044 0.003026824 0.004140497 0.003210704 0.0031643342 0.003699185 0.0040525547 0.0036056463 0.0040453593 0.023723714 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006671843 3.6020747e-06 4.0823514e-05 2.0011526e-06 4.9228354e-05 1.2407147e-05 9.205302e-06 8.00461e-06 2.0011526e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 1.2006916e-06 1.6009221e-06 2.4013832e-06 1.560899e-05 0.0006651831 6.003458e-06 7.2041494e-06 1.0806224e-05 2.1612448e-05 1.8810835e-05 2.8416367e-05 2.6014985e-05 1.0005763e-05 1.2006916e-06 1.2006916e-06 8.0046107e-07 3.6020747e-06 1.2006916e-06 8.0046107e-07 1.6809683e-05 0.0021680489 3.6420977e-05 0.00024734248 3.2018443e-06 7.364242e-05 4.8828126e-05 0.00073442305 0.00039102524 3.1618212e-05 1.6009221e-06 5.202997e-06 2.4013832e-06 0.00013888 5.202997e-06 5.6032272e-06 0.00020491803 0.004655882 0.00011166432 0.00029977266 5.4031123e-05 0.00033979572 9.8856945e-05 0.0004626665 0.00032778882 9.365394e-05 4.0023053e-05 3.121798e-05 2.2412909e-05 0.00016089267 4.1623975e-05 5.24302e-05 0.0005843366 0.0031626218 5.122951e-05 0.00016849705 0.00013567816 0.00033459274 0.00017890305 0.00062556035 0.00033499295 7.6444034e-05 3.5620516e-05 4.2024207e-05 3.4019595e-05 0.000108062246 4.2824668e-05 2.8816597e-05 0.00037781763 0.003555648 0.00011446593 0.00018850858 0.00010325948 0.0006531762 0.0002449411 0.0011794794 0.000621558 8.725026e-05 9.405417e-05 8.3648185e-05 0.00011086386 0.0001953125 0.00011526639 0.00015008645 0.00069920276 0.0030269434 0.00011886847 0.0002293321 0.00018530674 0.00047907594 0.00017410028 0.0007340228 0.000529505 0.0006259605 8.444864e-05 0.00010686155 0.000128474 0.00019131019 0.00020091573 0.00046386718 0.0009177286 0.0034403817 0.00024213947 0.00029456968 0.00030617637 0.00046706904 0.00040983607 0.0010558082 0.0007324219 0.00031017867 0.00020291688 0.00022973232 0.00033339203 0.00032978997 0.00023413486 0.00037661692 0.0016905738 0.0017558114 0.00018010374 0.0002229284 0.00025894915 0.00035460424 0.00037461577 0.00038342085 0.00040183146 0.0005715292 0.00022573002 0.00030897796 0.00033579342 0.0003421971 0.00023493532 0.00050629163 0.0025586737 0.0055095735 0.00075923733 0.0005371094 0.0007820505 0.0013075531 0.0012126985 0.00087730534 0.0011222464 0.002804015 0.0003421971 0.00030977844 0.00054991676 0.0013952036 0.0004918833 0.0014076108 0.0027227683 0.042940732 0.014012471 0.0069972305 0.0075403433 0.012713322 0.009746014 0.01364626 0.007036453 0.019578477 0.0054535414 0.0075247344 0.008376825 0.012111376 0.0059086033 0.008306785 0.01810683 0.06558097 0.04693143 0.04158235 0.041954167 0.045262873 0.042230323 0.04661205 0.040566567 0.049628187 0.040587377 0.04206383 0.042929128 0.046018105 0.041258965 0.04185851 0.047885984 4628.0 7.0047536 32418.0 0.0188784 0.007742612 0.007866001 0.0075266827 0.008267012 0.008174471 0.007218212 0.008513789 0.008267012 0.007187365 0.007156518 0.007619224 0.0069714356 0.006755506 0.008421248 0.006693812 0.009315812 0.0074958354 0.0070948238 0.009192424 0.0074032946 0.007619224 0.0070331297 0.0070948238 0.007619224 0.008328706 0.008174471 0.008297859 0.007680918 0.007804306 0.008020235 0.0068788943 0.008729718 0.009624283 0.0090381885 0.009747671 0.008421248 0.0090381885 0.011845271 0.009747671 0.008945648 0.008482941 0.007125671 0.0066012708 0.009963601 0.00860633 0.0075883768 0.008236165 0.010148683 0.007866001 0.007989389 0.010426306 0.009377507 0.0078351535 0.009192424 0.010302918 0.008452094 0.007187365 0.008668024 0.0074649886 0.009716824 0.007063977 0.0073416005 0.010117835 0.009284965 0.0194028 0.008482941 0.015454377 0.0141896475 0.03211179 0.009254118 0.010827318 0.023598 0.027824048 0.008637177 0.0074649886 0.016657412 0.016965883 0.019557036 0.02538713 0.013449319 0.012585601 0.02224073 0.025448825 0.024986118 0.012369671 0.008544636 0.007619224 0.009778518 0.010765624 0.00860633 0.0070331297 0.008976495 0.007804306 0.008297859 0.007187365 6.446155 0.0 2.0 0.0 11.0 1250816.0 1282048.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1115757800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 458752.0 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 32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -696320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458752.0 0.0 62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.902584 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9939957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0463996 0.0 7.1195593 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -718996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -458426.0 0.0 62392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 -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 -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 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 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 492112.0 62392.0 1216512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 486568.0 0.0 0.0 476.0 462848.0 0.0 0.0 0.0 0.0


Input: 0.28895247 0.024015184 0.020329006 0.007867518 0.009710607 0.008747799 0.014827245 0.0070422534 0.0068496917 0.0031360036 0.017523108 0.0052541816 0.005584287 0.0026133363 0.0042638644 0.0015680018 0.0043738997 0.004456426 0.005336708 0.0029984596 0.001402949 0.0013204225 0.0027233714 0.0015680018 0.001540493 0.0011003522 0.0016505282 0.0009077905 0.001815581 0.0012929137 0.003328565 0.004456426 0.014332086 0.0018981074 0.0026133363 0.0006327025 0.0008802817 0.0012103873 0.0017880722 0.0015680018 0.00528169 0.0009628081 0.0023382483 0.0018705986 0.005611796 0.0009352993 0.0122964345 0.0007702465 0.0075924294 0.0028609154 0.0014579665 0.0027508803 0.0040162853 0.0036586707 0.0022557217 0.0035211267 0.0022832307 0.0032460387 0.0010453345 0.0008252641 0.00074273767 0.0046214787 0.00052266725 0.00027508804 0.0018430898 0.0049240757 0.0018430898 0.0070972713 0.004979093 0.0012103873 0.002090669 0.0014304577 0.0006327025 0.003466109 0.00016505281 0.001953125 0.003768706 0.0040988117 0.002228213 0.0013479313 0.0042363554 0.0005501761 0.001678037 0.0058043576 0.0035211267 0.00079775526 0.0024757923 0.0008252641 0.00035761442 0.0008802817 0.00041263204 0.00052266725 0.00041263204 0.00035761442 0.00035761442 0.006987236 0.00060519367 0.016807878 0.011113556 0.0086377645 0.0069047096 0.042088468 0.0038787413 0.0046764966 0.002228213 0.017853213 0.00060519367 0.0045664613 0.01331426 0.0125440145 0.016065141 0.030369718 0.007922535 0.0015129842 0.02409771 0.01887104 0.030452244 0.015239877 0.0029709507 0.001402949 0.0029709507 0.007784991 0.0014854753 0.002393266 0.00033010563 0.0010453345 0.00052266725 0.00038512325 0.002365757 0.0015680018 0.00019256162 0.0008802817 0.0009903169 0.00033010563 0.00046764966 0.00013754402 0.00033010563 0.0005501761 0.00066021126 0.00030259683 0.00046764966 0.0008527729 0.00022007042 0.00038512325 0.00044014084 0.00035761442 0.00030259683 0.00057768484 0.00033010563 0.0006327025 0.00030259683 0.00019256162 0.00035761442 0.00033010563 0.0005501761 0.0006877201 0.00027508804 0.00011003521 0.0002475792 0.00027508804 0.00066021126 0.00052266725 0.0008527729 0.0008252641 0.00038512325 0.00033010563 0.00022007042 0.00027508804 0.00033010563 0.00074273767 0.00060519367 0.00019256162 0.0002475792 0.0002475792 0.00013754402 0.00016505281 0.00044014084 0.00033010563 0.00022007042 0.00013754402 0.00033010563 0.00022007042 0.00022007042 0.0002475792 0.00041263204 0.00052266725 0.0002475792 0.00030259683 0.00030259683 0.00019256162 8.252641e-05 0.00013754402 0.00057768484 0.00038512325 2.7508802e-05 0.00038512325 0.00011003521 0.00030259683 0.0002475792 0.00066021126 0.00016505281 0.00030259683 0.00013754402 0.00019256162 0.0002475792 0.00013754402 0.00022007042 0.00016505281 0.00033010563 0.00041263204 8.252641e-05 0.00027508804 0.00022007042 0.0002475792 0.00019256162 5.5017605e-05 0.0002475792 0.00027508804 0.00011003521 0.00013754402 0.0002475792 0.00013754402 0.00033010563 5.5017605e-05 0.00052266725 0.00066021126 0.00027508804 0.00016505281 0.00013754402 0.00038512325 0.0002475792 0.0002475792 0.00030259683 0.00030259683 0.00019256162 0.00057768484 8.252641e-05 0.00033010563 0.00011003521 0.00022007042 0.00046764966 0.0005501761 2.7508802e-05 0.00041263204 8.252641e-05 5.5017605e-05 0.0002475792 0.00030259683 0.00013754402 0.00019256162 0.00022007042 0.00038512325 0.00027508804 0.00013754402 0.0009352993 0.005309199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04428998 0.0035615808 0.005399816 0.0024126838 0.009262983 0.0060891546 0.046357997 0.02850701 0.00024414062 7.180607e-05 0.00017233456 0.0002154182 8.616728e-05 7.180607e-05 8.616728e-05 0.00022977941 0.11651252 0.010512408 0.011173024 0.006132238 0.0069508273 0.003303079 0.028191062 0.015064913 0.0014073988 0.0009047564 0.0014648438 0.00080422795 0.0008473116 0.0005170037 0.0009334789 0.0011632582 0.11042337 0.012163947 0.012508617 0.0065630744 0.00923426 0.006405101 0.03741096 0.024801815 0.0031307444 0.0020680148 0.0024126838 0.0016802619 0.0014361213 0.0011488971 0.0013930377 0.0025132124 0.120332606 0.012953814 0.019215303 0.019717947 0.014275046 0.011675666 0.063821234 0.04157571 0.0055577895 0.002154182 0.0022977942 0.0010914522 0.0015940947 0.001005285 0.0015222887 0.0047392 0.017535042 0.0009334789 0.0039349725 0.005198759 0.0029153263 0.002283433 0.014332491 0.0078125 0.00038775275 0.0005170037 0.00037339155 0.00040211398 0.00022977941 0.00037339155 0.0005313649 0.0010627297 0.0073098578 0.0015653722 0.0021398207 0.0021398207 0.0016659007 0.0015222887 0.0065487134 0.0039493334 0.00034466913 0.00045955883 0.00020105699 0.00025850185 0.00017233456 0.00035903032 0.00041647517 0.00035903032 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 548.0 21.182482 11608.0 0.017315645 0.00025844245 0.001981392 0.00034458993 0.00017229497 0.00017229497 0.0 8.6147484e-05 8.6147484e-05 8.6147484e-05 0.0 0.0 0.012405238 0.0010337698 0.028256375 0.0005168849 0.017574087 0.0057718814 0.00094762235 0.0054272916 0.008700896 0.008270158 0.0042212266 0.008097864 0.0043073744 0.007925568 0.0006030324 0.0 0.0010337698 0.012922123 0.0010337698 0.00025844245 8.6147484e-05 0.010423846 0.0031013095 0.016023433 0.01059614 0.002325982 0.0042212266 0.0031013095 0.0012922123 0.008787043 0.0 0.004135079 0.0037043418 0.007580979 0.002842867 0.0027567195 0.009476223 0.00034458993 0.002498277 0.016195728 0.007580979 0.0010337698 0.005513439 0.00094762235 0.0 0.00017229497 0.0 0.0 0.00068917987 0.0 0.0 0.019813921 0.00017229497 0.040144727 0.028342523 0.022484494 0.013266712 0.11095796 0.0049104067 0.0122329425 0.0031874569 0.04247071 0.0013783597 0.005685734 0.03385596 0.035062026 0.04290145 0.046347346 0.010682288 0.0006030324 0.052894555 0.041609235 0.08123708 0.036095794 0.008270158 0.0029290144 0.0047381115 0.02058925 0.0018090971 0.0 0.0 0.0 0.0 8.6147484e-05 5.201988 1.0 0.0 0.0 1.0 36352.0 65536.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1511839900.0 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 -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 80.0 0.0 4.0 0.0 4.0 0.0 33792.0 512.0 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 -33792.0 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 -5.6403637 0.0 4.296821 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 -33580.0 0.0 1436.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 41684.0 1436.0 49152.0 0.0 0.0 0.0 0.0 12.0 57344.0 28.0 41372.0 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