Input: 0.11182843 0.010035021 0.013893165 0.0045797415 0.0111222295 0.0032038947 0.008004926 0.004531635 0.003656096 0.0027998 0.015682727 0.003309729 0.0036753386 0.0034829127 0.0034251846 0.0033193503 0.0024630541 0.0031365457 0.0030307113 0.0025688885 0.004040948 0.0031557882 0.0035213977 0.0031654094 0.0030307113 0.0033289716 0.0031269242 0.0034251846 0.0035791255 0.0035310192 0.0031557882 0.0054649017 0.0056861914 0.0019338824 0.0027516934 0.0033001078 0.0026266163 0.002520782 0.0024149476 0.002963362 0.005224369 0.0028094212 0.0034732912 0.0033674568 0.0030403326 0.002867149 0.0041179187 0.0031750307 0.0031846522 0.00324238 0.0035406405 0.0032520012 0.0043295873 0.003944735 0.002482297 0.0030307113 0.0033193503 0.0037715517 0.0033674568 0.003559883 0.0042911023 0.0040120846 0.003944735 0.004040948 0.0037042026 0.003627232 0.0027516934 0.00390625 0.0031750307 0.0035983683 0.0035021552 0.004040948 0.0030403326 0.0034348061 0.00346367 0.0026747228 0.0023379773 0.0035695042 0.0029729833 0.003588747 0.003213516 0.002770936 0.0035021552 0.0038966287 0.002616995 0.0031365457 0.0035310192 0.0032712438 0.0027324508 0.0026747228 0.003877386 0.0027998 0.003059575 0.002770936 0.0025785097 0.0043295873 0.0018376693 0.005628464 0.0039158715 0.004339209 0.003973599 0.009246075 0.002742072 0.00390625 0.003088439 0.0064366534 0.0026939656 0.004137161 0.004502771 0.005137777 0.0057535404 0.013768088 0.0047144396 0.0032712438 0.0075623463 0.008976678 0.0071390085 0.0046470906 0.0028286637 0.003088439 0.00390625 0.0040794336 0.0031269242 0.009457743 0.0033963209 0.0036945813 0.0031942734 0.0035502617 0.0033289716 0.0030403326 0.0025977525 0.0024341904 0.0017895628 0.0023572198 0.0024630541 0.0027516934 0.0019627463 0.0018472907 0.0036657173 0.0023283558 0.0032327587 0.002992226 0.0033001078 0.0034251846 0.002174415 0.003088439 0.0027901786 0.0027035868 0.0022417642 0.0026939656 0.0028094212 0.0029152555 0.0016452433 0.0022225215 0.0040505696 0.0025881312 0.0028863917 0.002366841 0.0029248768 0.0035406405 0.0032616225 0.0022129002 0.002395705 0.0033193503 0.0028767702 0.003213516 0.0026266163 0.0034155634 0.0022417642 0.0027901786 0.0025688885 0.0028575277 0.0027998 0.0038870075 0.002896013 0.003723445 0.0017414563 0.0030980604 0.002049338 0.002366841 0.0030114686 0.0031750307 0.0028479064 0.0032616225 0.0024053263 0.0024726754 0.0026747228 0.0027805574 0.0030403326 0.0024726754 0.0029537408 0.002992226 0.002020474 0.0025592672 0.0022610067 0.002963362 0.002770936 0.0034251846 0.0032712438 0.0036368535 0.0024053263 0.0026651016 0.0022610067 0.0024919182 0.002203279 0.0030691964 0.0022129002 0.0032520012 0.0027228293 0.0027324508 0.0035213977 0.003492534 0.0028286637 0.0023187345 0.0033001078 0.0033289716 0.002174415 0.0025977525 0.003377078 0.003146167 0.002963362 0.0030018473 0.002867149 0.0026939656 0.0028094212 0.0036079895 0.0035695042 0.0038292794 0.0023379773 0.0024438116 0.0029248768 0.003213516 0.0025688885 0.0030691964 0.0028479064 0.0028286637 0.002645859 0.0032616225 0.002770936 0.0025592672 0.0036753386 0.0041082976 0.002616995 0.002616995 0.0030691964 0.0030210898 0.003088439 0.0026747228 0.0041564037 0.0028190424 0.0027228293 0.0032616225 0.0038485222 0.0030788176 0.0036657173 0.004406558 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021201171 0.0016650391 0.001328125 0.0014941406 0.0026904298 0.0013183594 0.011489258 0.008154297 6.8359375e-05 4.3945314e-05 9.2773436e-05 5.859375e-05 6.347656e-05 0.00010253906 0.00012695312 0.00010253906 0.079960935 0.007314453 0.006713867 0.006772461 0.0045263674 0.0016064453 0.0066796876 0.012182618 0.00092773436 0.00036621094 0.00048339844 0.0002734375 0.0005273438 0.00056640623 0.00056640623 0.0005322266 0.018012695 0.0007714844 0.0023095703 0.0014746094 0.0024609375 0.0016308593 0.007426758 0.004199219 0.0005322266 0.00025390624 0.00022460938 0.00013183594 0.00012207031 0.000234375 0.00010253906 0.00011230469 0.013510742 0.00057617185 0.0010791016 0.0011425781 0.0012939454 0.0012060547 0.005600586 0.0027929686 0.00041015624 0.00047851563 0.00044921876 0.0003515625 0.0002734375 0.00037597655 0.0003125 0.00014648438 0.0041357423 0.0007519531 0.0009619141 0.000625 0.0005175781 0.00028808592 0.0012451172 0.0008447266 0.00041015624 1.4648437e-05 5.859375e-05 4.8828126e-05 2.9296874e-05 9.765625e-06 1.953125e-05 3.90625e-05 0.0023339845 0.00048828125 0.00081542967 0.0009326172 0.00034179687 0.00057617185 0.0023925782 0.0014990234 0.00030273438 3.90625e-05 6.8359375e-05 8.789063e-05 5.859375e-05 4.8828124e-06 3.4179688e-05 2.4414063e-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 0.014038086 0.0025634766 0.002783203 0.0031201171 0.002939453 0.0029296875 0.004550781 0.0030615234 0.0018457031 0.001928711 0.0020703124 0.001538086 0.0017675781 0.0017578125 0.0015283204 0.0015771484 0.046142578 0.040063478 0.036264647 0.04220215 0.039194334 0.041884765 0.041376952 0.0440918 0.039614256 0.04116211 0.04427246 0.04145508 0.041245118 0.044692382 0.045278322 0.05105957 588.0 12.493197 7346.0 0.015790906 0.001633542 0.0043561123 0.0034032126 0.0024503132 0.0014974136 0.0025864416 0.0024503132 0.0027225702 0.0024503132 0.0027225702 0.001905799 0.0068064253 0.0031309556 0.021372175 0.0027225702 0.010209638 0.008576096 0.01184318 0.006534168 0.0066702967 0.0054451404 0.0036754697 0.0059896545 0.0043561123 0.0054451404 0.0043561123 0.001633542 0.0043561123 0.008303839 0.003811598 0.0025864416 0.0028586986 0.009256738 0.010073509 0.014293493 0.009801253 0.005717397 0.0068064253 0.0061257826 0.0042199837 0.0073509393 0.0034032126 0.0039477265 0.0039477265 0.007078682 0.0025864416 0.0025864416 0.0080315815 0.0027225702 0.010209638 0.013340593 0.0077593247 0.0043561123 0.005717397 0.003267084 0.0013612851 0.0031309556 0.0031309556 0.0013612851 0.003539341 0.0025864416 0.0031309556 0.013748979 0.0025864416 0.042472094 0.019330248 0.019602505 0.019602505 0.08780289 0.0062619112 0.016063163 0.0062619112 0.036890823 0.003539341 0.0054451404 0.029676015 0.022869589 0.03648244 0.044922408 0.011707052 0.0036754697 0.04192758 0.044377893 0.06030493 0.026136672 0.005853526 0.0054451404 0.0095289955 0.017152192 0.0039477265 0.0020419275 0.0017696705 0.001633542 0.0028586986 0.0025864416 5.7702694 1.0 0.0 0.0 1.0 103936.0 131072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3159275800.0 0.0 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 -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 0.0 48.0 0.0 4.0 0.0 6.0 0.0 101376.0 512.0 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 -101376.0 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 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5606685 0.0 4.2364807 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 -101332.0 0.0 1452.0 0.0 0.0 0.0 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 109434.0 1452.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 56.0 109288.0 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: 0.14219704 0.008615822 0.0041788346 0.0034180311 0.006230398 0.003941782 0.0020255 0.0019572387 0.007869911 0.0015079549 0.0016990866 0.0015029905 0.0045660627 0.0013701911 0.001228704 0.0038834494 0.006153449 0.0015029905 0.001185265 0.000894844 0.002467337 0.0019795788 0.00076700916 0.00082534156 0.002304751 0.000754598 0.00083030603 0.00071115897 0.001615932 0.0006044231 0.00059449417 0.0005659485 0.0038859316 0.0005870475 0.00065282657 0.00054360845 0.004160218 0.0013193054 0.00046541818 0.0005622252 0.001185265 0.00065406767 0.0005845652 0.0009444886 0.0011070748 0.0023457077 0.0006776489 0.00051878614 0.005864269 0.0028049203 0.0034130667 0.010173421 0.0035396605 0.0019957132 0.0029786765 0.0016680588 0.004052241 0.00205901 0.00071612344 0.0014856148 0.001670541 0.0009779987 0.00046665932 0.0005299562 0.011801764 0.0039380584 0.004913575 0.008849151 0.003878485 0.03264133 0.003276544 0.00271556 0.0033919679 0.0035570362 0.0021942917 0.002360601 0.0027168011 0.004398512 0.0011629249 0.0015352594 0.00908248 0.0021496115 0.0020614923 0.009781228 0.003213247 0.013873185 0.0032306227 0.002101208 0.0019311752 0.006530748 0.00274907 0.0032678563 0.0015700107 0.0046492172 0.0023841823 0.0036141274 0.005779873 0.0044556037 0.0018740839 0.0033212241 0.009288506 0.0061931647 0.004065893 0.0016109674 0.007940655 0.0042954995 0.003794089 0.0014533459 0.0035955107 0.0017623835 0.0045524104 0.004125467 0.003224417 0.0017623835 0.0049967295 0.0039057895 0.010276434 0.005613564 0.0018765661 0.0011728539 0.0029066917 0.0012671786 0.0005324384 0.00059201196 0.0016581299 0.0025256693 0.0010661179 0.00087746844 0.005259846 0.0011616838 0.0010921813 0.009091169 0.0031313335 0.0032368284 0.0010375723 0.0006205576 0.00267088 0.01523593 0.0022402129 0.051888544 0.0012001584 0.011034755 0.0008600928 0.00068261335 0.0026646743 0.00044556035 0.0007297757 0.0006478621 0.0011269326 0.0009395242 0.0015166427 0.00056967186 0.0011778183 0.0005907708 0.0005014105 0.00071488234 0.00095938204 0.00047782934 0.00046665932 0.00042073804 0.0008998085 0.0033398408 0.00046790042 0.0025591794 0.0014285236 0.00082037714 0.0005659485 0.00045424816 0.0010499834 0.0004592126 0.00051133946 0.00048899936 0.00085016387 0.00045176593 0.0007446691 0.00066027325 0.0013292343 0.0006875778 0.0017363201 0.000538644 0.00088119175 0.0006726844 0.00071488234 0.001584904 0.0031611202 0.002543045 0.004666593 0.0008265827 0.0010040621 0.00048155268 0.00085636944 0.00071736454 0.012037576 0.001152996 0.002294822 0.010384411 0.0043724487 0.0010623946 0.0035694472 0.0033795566 0.0018765661 0.0017710713 0.0009866866 0.0013068942 0.0016879166 0.00089608517 0.0009953744 0.0009457298 0.0028843516 0.0011542371 0.0029848819 0.00135778 0.0018194749 0.0007707325 0.0016097263 0.00087870954 0.0033795566 0.00065654994 0.0010896991 0.0017934114 0.0015017494 0.0007210879 0.0005647074 0.00084519945 0.0024474792 0.00066027325 0.00088119175 0.0009941333 0.0024412735 0.0024400323 0.00055229623 0.0006962656 0.027704172 0.006046713 0.0010971458 0.005920119 0.0065555703 0.0010462601 0.00068261335 0.00075708027 0.0072679706 0.000980481 0.0018231982 0.0009221486 0.009169359 0.0021781572 0.0041105733 0.0026026184 0.010102677 0.0030643134 0.003084171 0.0036252975 0.014940544 0.004010043 0.0043165986 0.06917355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017826931 0.0 0.0 0.00051938195 0.00024569567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011647218 0.0 0.0 0.0051776473 0.0035573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011812053 0.0 0.0 0.0008372313 0.0005293342 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 16.019262 85655.0 0.005463779 0.00012842217 0.0005603876 9.339793e-05 0.0033623257 0.00057206233 0.00012842217 0.00017512112 0.0003969412 0.00040861595 0.00073550874 0.0005837371 0.0005020139 0.014301559 0.00113245 0.00046698967 0.026630085 0.017722258 0.02733057 0.012491974 0.022952542 0.014675151 0.024120016 0.011464597 0.026303193 0.014756873 0.00082890666 0.00051368866 0.0009573288 0.00053703814 0.00011674742 0.0001400969 0.0013659447 0.008557586 0.007425136 0.014558403 0.0071566165 0.016181191 0.0047399453 0.0030821317 0.0049384157 0.01765221 0.0024633706 0.0040044365 0.006841399 0.006689627 0.0044480767 0.009246395 0.012947288 0.002626817 0.0060008173 0.020535871 0.0131107345 0.006281011 0.005919094 0.0035024225 0.0027902632 0.0053703813 0.0015293912 0.0030004086 0.0011674742 0.002801938 0.0029186853 0.022263732 0.00025684433 0.030903041 0.013939641 0.027202148 0.025859553 0.053120073 0.012305178 0.010553966 0.019134901 0.03496585 0.008078922 0.007273364 0.024528632 0.0118498625 0.03865507 0.034650635 0.01898313 0.003117156 0.039215457 0.028719865 0.041550405 0.011266125 0.011242776 0.006245987 0.014243185 0.006701302 0.0010507267 0.00029186855 0.00054871285 0.00025684433 0.0003035433 0.00031521803 5.7719007 0.0 2.0 14.0 4.0 805727.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.581923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.07218834 0.005868157 0.006359951 0.0041661984 0.004422634 0.0033793277 0.0034337763 0.0033213664 0.004763377 0.0037007504 0.0033441996 0.004642185 0.004081891 0.0035005198 0.0031878795 0.005056697 0.004348865 0.0032739434 0.0032159819 0.004376967 0.0042715827 0.003242328 0.0032177384 0.0031755846 0.0035110584 0.0033002894 0.0030087258 0.0029156362 0.0037710066 0.003100059 0.0033881098 0.0030983025 0.0041802498 0.0030561488 0.0029542772 0.0029718413 0.009937753 0.0031703154 0.0033564945 0.003129918 0.0034162123 0.0033336612 0.003013995 0.0031615333 0.0031334308 0.0035988786 0.003221251 0.0030895206 0.0038939551 0.0034741738 0.0031966614 0.003909763 0.0040063653 0.003600635 0.003423238 0.003268674 0.003547943 0.0039255703 0.0035110584 0.004173224 0.0036445453 0.003470661 0.0031966614 0.0032493537 0.0043190056 0.005464183 0.0038518014 0.0044349288 0.005186671 0.0046597486 0.0036023916 0.003802622 0.0037622247 0.003423238 0.0031228922 0.0032950202 0.00431198 0.0037885706 0.0031246487 0.003345956 0.0040133907 0.003221251 0.0032177384 0.004074865 0.0038992243 0.0037499298 0.0038184295 0.0037218272 0.003135187 0.004129314 0.0031773408 0.003354738 0.0037797887 0.0036585967 0.003561994 0.003358251 0.0036937247 0.004001096 0.0032493537 0.003648058 0.0036094172 0.0046316464 0.003651571 0.003514571 0.0036445453 0.0036902118 0.0038149168 0.0031387 0.0035426738 0.0032634048 0.003755199 0.0037358785 0.0035567249 0.0032985331 0.00383775 0.0034337763 0.0060648746 0.0054993113 0.0032019306 0.0031281614 0.0036796734 0.0031878795 0.0030930333 0.0029894053 0.0033635201 0.0034917379 0.0030456104 0.0030631744 0.0035848275 0.0035338916 0.0030772258 0.005474722 0.005381632 0.004039737 0.0035795583 0.0034162123 0.0038430193 0.0074664876 0.003948404 0.009477574 0.003995827 0.004254019 0.003005213 0.002996431 0.0034776866 0.0029613029 0.0032142254 0.0029595464 0.0038957116 0.0032001743 0.0031738281 0.0029542772 0.0031755846 0.004122288 0.0031281614 0.0032827253 0.0035286224 0.003035072 0.0030368282 0.0029173926 0.0033652766 0.0035848275 0.0029718413 0.0031632897 0.0035813146 0.0032563792 0.0031369436 0.0030842514 0.003156264 0.0029894053 0.003811404 0.0031755846 0.003117623 0.0033705458 0.0029946745 0.0031334308 0.003328392 0.0031843665 0.0030684436 0.0029191491 0.0033863534 0.0034091866 0.003414456 0.0032159819 0.0032950202 0.0029156362 0.0030737128 0.0030420977 0.0033494688 0.0030333155 0.0033231229 0.0029542772 0.004751082 0.003461879 0.0030561488 0.0037973528 0.00354443 0.0031158666 0.0038043784 0.004622864 0.003458366 0.0031369436 0.0030596617 0.0031615333 0.0037429042 0.0030403412 0.0033055586 0.0033424431 0.0037446604 0.0034829557 0.0034004047 0.003751686 0.0036076608 0.003186123 0.003150995 0.0032159819 0.0035461865 0.0034864687 0.0030842514 0.0031246487 0.0033266356 0.0031966614 0.0033002894 0.0030227771 0.0035971224 0.003254623 0.0033775715 0.0031808538 0.003414456 0.0045192363 0.003150995 0.0029402259 0.005420273 0.0037481734 0.0032967767 0.0037745195 0.0036638658 0.0030456104 0.0030227771 0.0032458408 0.0037007504 0.0030877641 0.0033125842 0.003272187 0.0033178534 0.0029121235 0.0034355328 0.0032792126 0.0037692501 0.0034689046 0.0036954812 0.0032317897 0.004015147 0.0032563792 0.0035391608 0.011339366 0.01077034 1.7595721e-06 8.7978606e-07 5.2787163e-06 1.7595721e-06 3.5191442e-06 2.6393582e-06 2.6393582e-06 2.6393582e-06 1.7595721e-06 2.6393582e-06 1.7595721e-06 3.5191442e-06 1.7595721e-06 2.6393582e-06 5.2787163e-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 0.0049443976 2.6393582e-05 2.7273367e-05 0.00011877112 8.79786e-05 2.8153154e-05 9.677647e-06 2.0235078e-05 2.9032939e-05 1.0557433e-05 7.0382885e-06 2.6393582e-05 5.2787163e-06 8.797861e-06 1.0557433e-05 4.4869088e-05 0.0032138585 4.3109514e-05 2.7273367e-05 6.1585024e-06 6.246481e-05 2.6393582e-05 5.718609e-05 3.6951013e-05 1.8475506e-05 7.0382885e-06 1.6715934e-05 1.8475506e-05 1.6715934e-05 1.5836149e-05 1.4076577e-05 2.2874437e-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 0.0042414484 9.853604e-05 9.853604e-05 5.0147803e-05 0.00022874436 0.00012141047 0.00016188063 9.41371e-05 3.1672298e-05 1.5836149e-05 2.7273367e-05 8.7098815e-05 6.3344596e-05 2.1114865e-05 2.8153154e-05 3.607123e-05 0.0026675113 3.6951013e-05 7.0382885e-05 3.959037e-05 0.0003202421 0.00010469454 5.6306308e-05 3.6951013e-05 2.8153154e-05 1.3196791e-05 8.797861e-06 9.149775e-05 5.542652e-05 1.0557433e-05 1.4076577e-05 4.926802e-05 0.0024273298 3.607123e-05 9.41371e-05 5.8065878e-05 0.00023754223 0.00019619228 0.0001829955 8.79786e-05 4.5748875e-05 2.199465e-05 3.6951013e-05 3.6951013e-05 2.9912726e-05 3.959037e-05 4.7508445e-05 2.463401e-05 0.002401816 7.0382885e-05 0.00015572213 4.4869088e-05 6.598395e-05 6.0705235e-05 5.4546734e-05 6.158502e-05 0.00019003378 6.95031e-05 5.0147803e-05 7.302224e-05 9.853604e-05 6.3344596e-05 8.18201e-05 6.158502e-05 0.005928878 0.00023050394 0.00052347267 0.0006255279 0.0010601422 0.0005780194 0.0036669483 0.001961043 0.00022698479 0.00010469454 0.00010117539 7.830096e-05 0.0002454603 0.00042493665 0.00012053068 0.0003395974 0.0025751337 7.918074e-05 9.853604e-05 0.00059737475 0.00024809965 0.00012404982 0.00032376125 0.00019179336 0.00012317004 6.598395e-05 0.000109973254 9.41371e-05 0.00012317004 0.00014604448 0.000106454114 0.00039854308 0.0063714106 0.00060089387 0.0006334459 0.0030203054 0.00087714667 0.0005278716 0.00098712 0.0007662936 0.000665998 0.0005639428 0.00045660895 0.00046364724 0.0005393088 0.00055074604 0.0005252323 0.00046804617 0.0023824605 0.00018651463 0.0005296312 0.0001697987 0.00037390908 0.00021994651 0.00092289556 0.0005533854 0.0004662866 0.00018035613 0.00016452 0.00018651463 0.00021114865 0.000201471 0.0001821157 0.0002762528 0.0136753945 0.002071896 0.0045053842 0.0019425675 0.0038956925 0.0026754292 0.0013830237 0.002224979 0.009206961 0.0015466638 0.001393581 0.0012105856 0.002985114 0.00131616 0.0023076788 0.005316547 0.024071826 0.005843539 0.0064954604 0.004855539 0.009503448 0.0069758235 0.0035085867 0.0056842975 0.013627886 0.00411124 0.0031654702 0.002578653 0.0065895976 0.0037074185 0.006488422 0.00990991 0.048367117 0.04597146 0.045551803 0.046058558 0.046624262 0.046326015 0.047333367 0.046295222 0.046533644 0.04544007 0.046444785 0.04604888 0.04552541 0.04721284 0.046818692 0.045790225 2672.0 7.419536 19825.0 0.019571248 0.0071626734 0.00665826 0.0057503153 0.010390921 0.006557377 0.0071626734 0.0060529634 0.007667087 0.0063556116 0.0058007566 0.0073139975 0.0059520807 0.007919294 0.0076166457 0.0063051702 0.010996217 0.008978562 0.008474149 0.0110971 0.01074401 0.009029004 0.009936948 0.009331652 0.011904161 0.009331652 0.00887768 0.008978562 0.009785624 0.009281211 0.0070617907 0.008625473 0.0067591425 0.011399748 0.0075662043 0.011702396 0.010491803 0.009583859 0.0096343 0.012156368 0.008322825 0.010189155 0.0074653216 0.0062042875 0.009180328 0.008423707 0.0070113493 0.007263556 0.013417402 0.0063556116 0.00887768 0.019924337 0.009230769 0.0074653216 0.013871375 0.015889028 0.006960908 0.005598991 0.0064564943 0.005851198 0.007667087 0.0066078184 0.0062042875 0.0065069357 0.008020177 0.020529633 0.008272383 0.013871375 0.014174023 0.038839847 0.010441362 0.0091298865 0.010189155 0.022950819 0.006254729 0.008121059 0.019016393 0.012156368 0.022143757 0.023656998 0.012912989 0.0069104666 0.024363177 0.015132409 0.034300126 0.014779319 0.00852459 0.008121059 0.010088272 0.010390921 0.0071626734 0.006557377 0.0059520807 0.006809584 0.0065069357 0.006809584 6.4180784 0.0 0.0 0.0 13.0 569344.0 581632.0 0.0 0.0 224.0 1.0 1.0 0.0 0.0 0.0 966208000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 20.0 5.0 0.0 5.0 0.0 86016.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -86016.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.449958 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8913555 0.0 0.0 0.0 0.0 0.0 0.0 -7.997741 0.0 0.0 0.0 7.990535 0.0 0.0 0.0 0.0 0.0 0.0 -5.5649595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.997699 -6.675356 0.0 3.3512084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5865.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 97678.0 0.0 0.0 0.0 0.0 0.0 0.0 -113384.0 0.0 0.0 0.0 120883.0 0.0 0.0 0.0 0.0 0.0 0.0 -32200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108144.0 -85426.0 0.0 3280.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 182004.0 3280.0 569344.0 0.0 0.0 0.0 0.0 4296.0 573440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 944.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.060361594 0.0048212414 0.0031704903 0.0038604867 0.0042360546 0.0029725167 0.004008967 0.0038896005 0.0044747875 0.003630488 0.0034820077 0.0031268196 0.0032316293 0.0036188425 0.0042098523 0.0043146615 0.003653779 0.0043990915 0.003685804 0.004276814 0.0030627693 0.003691627 0.0031239083 0.0035198557 0.0034354257 0.0035023873 0.0028327706 0.003036567 0.0035373238 0.0032898567 0.0033015022 0.00293758 0.0033509957 0.004070106 0.0030249213 0.0037731454 0.0037032724 0.00393036 0.0029550483 0.003476185 0.0034703622 0.005001747 0.00310644 0.003368464 0.0039507393 0.0042477 0.0033975777 0.0037964364 0.0037207406 0.0033422615 0.0031501106 0.0036654244 0.0039507393 0.0029259345 0.0034470712 0.0038925118 0.0033888435 0.0035868173 0.004664027 0.0039361827 0.0029783393 0.0034092232 0.0028385932 0.0037352976 0.005889717 0.004084663 0.0034325144 0.0038575754 0.006166298 0.01168627 0.0032345406 0.0040264353 0.003252009 0.0039099804 0.003883778 0.0038284615 0.0035547921 0.0045126355 0.0044747875 0.003822639 0.0051968093 0.004640736 0.0035780831 0.0041021314 0.0034820077 0.0041050427 0.0036741586 0.004285548 0.004463142 0.0029492255 0.00359264 0.0029812506 0.0037265634 0.005019215 0.0035256783 0.0035751718 0.0040759286 0.0039914986 0.003036567 0.0035169441 0.004384535 0.0042797253 0.003138465 0.0034121347 0.0034237802 0.0042098523 0.0041603586 0.0033131477 0.004084663 0.0031093513 0.0036596018 0.003269477 0.0043525095 0.003246186 0.0031471993 0.0030889716 0.004288459 0.0029812506 0.0046290904 0.003799348 0.0031006173 0.0032898567 0.0034034005 0.0038896005 0.0037818796 0.0034674508 0.003307325 0.0032316293 0.0041661817 0.0036392221 0.003129731 0.0035344125 0.004000233 0.0032636544 0.0034208687 0.0034703622 0.003691627 0.004809596 0.0031471993 0.0069727497 0.0033393502 0.0041137766 0.0035780831 0.0028793525 0.0035984628 0.0027570745 0.0030977058 0.0031471993 0.0035606148 0.0038575754 0.0034499825 0.0029172003 0.00335973 0.0029113777 0.003377198 0.0038488412 0.0034587167 0.0029434029 0.0028327706 0.0035082102 0.0034936531 0.0038633982 0.0037003611 0.0029928961 0.0029550483 0.0029404915 0.002844416 0.0037556773 0.0038604867 0.0038342844 0.0029230232 0.0028589729 0.0035547921 0.0036596018 0.0028094794 0.0032287177 0.0035111215 0.0035897286 0.0033160592 0.002844416 0.0037847909 0.0027774542 0.0038459299 0.0034121347 0.0032607429 0.0029725167 0.0030511238 0.0031122628 0.0035751718 0.0032869454 0.0035547921 0.0033160592 0.0035315012 0.003161756 0.0037644114 0.0033044138 0.002998719 0.0029172003 0.010323745 0.0033888435 0.0047601024 0.0034820077 0.0033015022 0.003831373 0.0061488296 0.003353907 0.004192384 0.0030802377 0.0030045419 0.0036217538 0.0035809944 0.0036945383 0.0034179573 0.0040730173 0.0035547921 0.0029666938 0.0030685922 0.0036654244 0.00433213 0.0033393502 0.0030977058 0.0030656806 0.0035169441 0.0033422615 0.0032054267 0.0028764412 0.0034499825 0.0035198557 0.0029928961 0.0037265634 0.003522767 0.003161756 0.0058373124 0.0034965645 0.0028618842 0.0043175733 0.0037352976 0.0034412483 0.0030802377 0.0029055548 0.004827064 0.0032112496 0.0039682076 0.00367707 0.0032782112 0.003793525 0.0032869454 0.0034063119 0.003569349 0.0039420053 0.003438337 0.0041982066 0.0045941537 0.0035111215 0.003269477 0.0062070573 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.054648027 0.0522651 0.05566991 0.054617327 0.052648123 0.055816103 0.053077925 0.05398578 0.05090259 0.04969212 0.051126264 0.051203746 0.052123293 0.052820627 0.051164273 0.052550174 1551.0 8.033526 12460.0 0.007624398 0.006179775 0.005858748 0.0054574637 0.005537721 0.006581059 0.00529695 0.0054574637 0.006340289 0.0054574637 0.0056982343 0.0048154094 0.005778491 0.017094703 0.006340289 0.0042536114 0.0056179776 0.00529695 0.0060995184 0.008266453 0.028892456 0.0050561796 0.017656501 0.006179775 0.005939005 0.006340289 0.006340289 0.005778491 0.0042536114 0.0060995184 0.0052166935 0.0048154094 0.0060192617 0.03138042 0.0056179776 0.006179775 0.07078651 0.0065008025 0.005939005 0.033948634 0.005778491 0.0323435 0.0054574637 0.004895666 0.005939005 0.0075441413 0.031139648 0.017335473 0.03330658 0.006581059 0.0056179776 0.0065008025 0.0056179776 0.004975923 0.0060192617 0.018619582 0.031942215 0.0064205457 0.005377207 0.0052166935 0.016773676 0.004975923 0.017576244 0.008908507 0.0056179776 0.009069021 0.0060995184 0.007383628 0.022391653 0.027688604 0.0066613164 0.020385232 0.005778491 0.02094703 0.0064205457 0.005377207 0.009229534 0.008828251 0.009630819 0.009229534 0.0060995184 0.004895666 0.009149278 0.008908507 0.023916533 0.0064205457 0.005136437 0.005537721 0.005778491 0.005537721 0.0056982343 0.0050561796 0.005136437 0.005858748 0.017736757 0.005537721 6.1460495 0.0 0.0 0.0 9.0 343480.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 -1.0 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 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.008350664 0.0042212983 0.004009654 0.0040148497 0.0042274934 0.0037892156 0.003942703 0.0038673582 0.004091993 0.0038207925 0.0037842193 0.0038313847 0.0039532953 0.003772428 0.0037626352 0.004051423 0.003991267 0.0038104001 0.00370148 0.003882947 0.0038469732 0.0037036785 0.003760237 0.0038435757 0.0038389792 0.003768431 0.003806603 0.0036964838 0.0038381796 0.0037592377 0.0037526425 0.004093792 0.0039554937 0.0037432495 0.0038163958 0.0037224647 0.0038046043 0.0036796962 0.0037458476 0.0037730276 0.00376963 0.003798409 0.0037310584 0.0038048043 0.0037416506 0.0037502444 0.003735655 0.0039866706 0.0038979359 0.0036780974 0.0037644338 0.004073207 0.0038219916 0.0037364545 0.0037324573 0.0038493716 0.003839179 0.003748046 0.0037240635 0.0039241165 0.0038096006 0.0039047308 0.0040762047 0.004241683 0.0038511702 0.004026042 0.0038703561 0.0038143971 0.003821192 0.003888143 0.0038020064 0.0037988087 0.003720666 0.0036563133 0.0036790967 0.0037788234 0.0037464472 0.0038127983 0.0037620356 0.003942703 0.0037948117 0.0037172686 0.0037826204 0.0039672847 0.0037756257 0.0037676315 0.0037658329 0.0039664856 0.0037838197 0.0037134713 0.0037118725 0.0039133243 0.0037704294 0.0038517697 0.003910926 0.004176531 0.003893339 0.0037808218 0.0037208658 0.0037646338 0.003726462 0.0038993347 0.0038109997 0.0038569658 0.0039119255 0.0037802223 0.003853968 0.0038367808 0.0037372538 0.0038319842 0.003859564 0.0040933923 0.003839179 0.0037820209 0.0037796227 0.0039838725 0.004013851 0.0039904676 0.0037058769 0.0039812746 0.0038277872 0.0038181944 0.003802606 0.004072208 0.0040508234 0.0041511497 0.004180128 0.0044001667 0.004037833 0.0038685573 0.003980475 0.00416434 0.0038805485 0.0039500976 0.003753442 0.003886944 0.0038347822 0.003949298 0.0038495713 0.004638192 0.0037378534 0.0040618153 0.0037566395 0.003949298 0.0038861444 0.0036898886 0.0036071495 0.003727661 0.0036699034 0.0037936124 0.0036998813 0.003845774 0.003685292 0.0037472465 0.0037922135 0.0038181944 0.0038111995 0.0037372538 0.0038385794 0.0041615423 0.0037856183 0.0038121988 0.0037114727 0.00379681 0.003644522 0.0037542414 0.003739852 0.0038823471 0.0037018799 0.0037456476 0.003726262 0.0038064031 0.0036842928 0.003757439 0.0038599637 0.004075405 0.0037802223 0.0037404515 0.0036778974 0.003759038 0.0037176684 0.0037690306 0.0037822209 0.003968884 0.003909927 0.0038735538 0.0038245898 0.0038937388 0.0038683575 0.0039678845 0.0041305646 0.0043450072 0.0041501503 0.003940904 0.0038249893 0.004032637 0.0037814213 0.0037720283 0.0038697566 0.0040478255 0.0037716287 0.003760037 0.0037210658 0.0038597637 0.0037748262 0.003859564 0.003845774 0.004050024 0.0038659594 0.0038139974 0.0037586382 0.003901533 0.0037218651 0.003918321 0.0037668322 0.0040154494 0.0037660326 0.0038395787 0.0037552407 0.0038801488 0.0038611628 0.0038519695 0.0039784764 0.0043801814 0.0039229174 0.003872954 0.0038549674 0.004003658 0.0037432495 0.0038617624 0.0038647603 0.004040031 0.0042187 0.0039065294 0.003811999 0.004167138 0.0039313114 0.0039486983 0.003930312 0.0042618685 0.0040845987 0.003989069 0.003982274 0.0041093803 0.003923717 0.004044428 0.0040536216 0.004282453 0.00424608 0.0042017126 0.004211905 0.004281854 0.0043599964 0.0042820536 0.0045068883 0.0056114765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00015553032 3.698343e-06 1.7991939e-06 3.7982984e-06 4.2980746e-06 5.0977164e-06 7.596597e-06 4.6978953e-06 4.39803e-06 3.998209e-07 6.9968655e-07 1.4993283e-06 2.5988356e-06 8.9959696e-07 4.4979847e-06 3.1985671e-06 0.00010515289 9.995522e-07 1.4993283e-05 3.4984328e-06 1.8991492e-06 1.7991939e-06 5.2376534e-05 2.3989252e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006569057 2.2989701e-05 3.998209e-05 3.2985223e-05 6.277188e-05 4.208115e-05 0.00019121433 8.8360415e-05 1.5992835e-05 8.596149e-06 3.4984328e-06 3.7982984e-06 2.8387283e-05 2.4988806e-06 3.4984328e-06 2.468894e-05 0.00047578686 6.377143e-05 3.908249e-05 8.2063234e-05 8.846037e-05 3.6483656e-05 0.000104853025 8.406234e-05 9.895567e-06 5.1976713e-06 2.5988356e-06 5.1976713e-06 3.5983878e-06 2.8987013e-06 2.4988806e-06 1.7092343e-05 0.0007381693 5.457555e-05 6.587049e-05 5.1077117e-05 0.00011834698 5.917349e-05 0.00016762491 0.0001533313 4.8178415e-05 2.3289565e-05 7.9964175e-06 1.4893328e-05 2.6188267e-05 1.0295387e-05 6.0972684e-06 9.2558534e-05 0.00018701622 7.596597e-06 5.2976266e-06 1.3493955e-05 2.5188716e-05 1.7991939e-05 3.8382805e-05 1.8291805e-05 1.4793372e-05 3.2985222e-06 4.098164e-06 6.6969997e-06 3.8382805e-05 3.698343e-06 1.4093686e-05 1.109503e-05 0.000281274 2.1690283e-05 3.5883924e-05 2.5988356e-05 6.117259e-05 2.9086968e-05 1.9091447e-05 4.368043e-05 0.00011264953 9.995522e-06 5.6974477e-06 1.8991492e-05 4.5879446e-05 1.8691626e-05 4.058182e-05 4.8478283e-05 0.0033443018 0.0004221109 0.00033025205 0.00049637764 0.00069169013 0.00078464847 0.00028237348 0.00054115755 0.002020395 0.00033015208 0.00010935101 0.00040771734 0.000796843 0.00034164696 0.00077425316 0.0012233519 0.0011685765 0.00035244212 0.00029096965 0.00027607632 0.00033355056 0.00039672226 0.00027487686 0.00024968814 0.00068269414 0.00018781587 0.00018791581 0.00015952853 0.00035054295 0.00020320897 0.00027227803 0.00034494547 0.060297288 0.060147952 0.059738938 0.060842242 0.059588104 0.060002018 0.06022482 0.062174246 0.06039774 0.05995034 0.060169045 0.061394397 0.060775373 0.06149695 0.06223002 0.066414945 22343.0 5.8444257 130582.0 0.0100396685 0.010414911 0.010774839 0.009350446 0.009243234 0.00991714 0.0099860625 0.0097410055 0.009695058 0.01023112 0.010254093 0.009748664 0.009763979 0.0106063625 0.010545098 0.010070301 0.010254093 0.010215803 0.010070301 0.010598704 0.010529782 0.011402797 0.009771638 0.00984056 0.010399596 0.010108591 0.00995543 0.010223461 0.010162197 0.009626135 0.010269409 0.010261751 0.010070301 0.010315358 0.009771638 0.010797813 0.0106063625 0.009825244 0.010774839 0.010453202 0.010338332 0.0106599685 0.010391938 0.01042257 0.010920341 0.009970746 0.009702715 0.009702715 0.009993721 0.010353647 0.010238777 0.011150082 0.010774839 0.00941171 0.010353647 0.010368964 0.009924798 0.010728891 0.010208145 0.010116248 0.010116248 0.010254093 0.0109586315 0.011004579 0.009817586 0.011019896 0.00987885 0.010001378 0.011264952 0.01363894 0.01108116 0.009924798 0.010292383 0.011647853 0.010912683 0.009825244 0.010874393 0.010728891 0.010836103 0.011364507 0.00995543 0.00995543 0.012122651 0.012467262 0.012811873 0.010001378 0.010399596 0.009825244 0.010721233 0.010736548 0.010024353 0.010430228 0.010859077 0.010522124 0.010690601 0.010614021 6.581947 1.0 0.0 0.0 53.0 5003674.0 135168.0 0.0 0.0 147.0 0.0 1.0 0.0 0.0 0.0 1190291700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 81920.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79872.0 -4096.0 15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9096766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4654813 -5.1244617 4.711663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 -4096.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4049.0 114688.0 15360.0 118784.0 0.0 0.0 8176.0 6115560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.23650046 0.007984835 0.005256204 0.0056295954 0.0070369947 0.002757353 0.003159467 0.0025275736 0.020019531 0.0010914522 0.0023265164 0.0087890625 0.012494256 0.0010340074 0.0007467831 0.005514706 0.009018842 0.00083295035 0.0006606158 0.0007755055 0.0053423713 0.0010627297 0.0005457261 0.00057444855 0.0030158549 0.0005170037 0.0006606158 0.0008903952 0.001551011 0.00048828125 0.00071806065 0.0011488971 0.0015797334 0.00060317095 0.0005170037 0.0008903952 0.0013786765 0.0033605238 0.00040211398 0.0005170037 0.0012063419 0.012149586 0.00048828125 0.0023265164 0.0008616728 0.00037339155 0.0008616728 0.00048828125 0.0011488971 0.0005170037 0.0012063419 0.0011488971 0.0007467831 0.0016946231 0.0012063419 0.00071806065 0.00091911765 0.0006318934 0.0005457261 0.003102022 0.0015797334 0.0014073988 0.0010340074 0.0012063419 0.0014935662 0.0012063419 0.0006318934 0.0011201747 0.00057444855 0.02355239 0.0034466912 0.0028147977 0.0011488971 0.00071806065 0.00037339155 0.0006606158 0.0008903952 0.0016659007 0.00057444855 0.0008616728 0.012207031 0.0049402574 0.00674977 0.006204044 0.0007467831 0.008616728 0.006405101 0.008616728 0.0007755055 0.005744485 0.0048828125 0.0054285387 0.00045955883 0.0011488971 0.0056008734 0.0058880975 0.0012063419 0.00295841 0.00025850185 0.0012637868 0.0016371784 0.0047679227 0.002096737 0.0005457261 0.009105009 0.0020392924 0.015596278 0.00040211398 0.0018095128 0.0006606158 0.001349954 0.0015797334 0.0010914522 0.00025850185 0.0031307444 0.0018382353 0.0153090535 0.034265853 0.002355239 0.0012925091 0.0008616728 0.00034466913 0.00022977941 0.0003159467 0.0005170037 0.0107709095 0.0005457261 0.0008903952 0.0038775275 0.0016371784 0.0004308364 0.021312041 0.0039924174 0.0031307444 0.0012637868 0.0013786765 0.0022116269 0.0071806065 0.0012063419 0.027659697 0.00034466913 0.009162454 0.00025850185 0.005974265 0.0019244025 5.7444853e-05 0.00020105699 0.0011488971 0.0012063419 0.0017807904 0.0015797334 0.0019818475 0.00080422795 0.00022977941 0.00022977941 0.00022977941 0.00068933825 0.00020105699 0.000114889706 0.00017233456 0.00037339155 0.00020105699 0.00020105699 0.0013786765 0.00022977941 0.00020105699 0.00022977941 0.00045955883 0.00028722428 0.00022977941 0.0004308364 0.00025850185 0.0006606158 0.00045955883 0.00037339155 0.00040211398 0.0010340074 0.0003159467 0.00040211398 0.00017233456 0.0015797334 0.001005285 0.00048828125 0.0013212316 0.0033318014 0.0006318934 0.00091911765 0.00048828125 0.0010627297 0.00025850185 0.0003159467 0.00045955883 0.00769761 0.00080422795 0.007956112 0.0013786765 0.0038775275 0.011919807 0.001349954 0.0037339155 0.0014648438 0.0078125 0.00025850185 0.00057444855 0.0011201747 0.0005457261 0.0007467831 0.0005457261 0.0019818475 0.0011488971 0.0016659007 0.00037339155 0.0009765625 0.00034466913 0.0007755055 0.00045955883 0.0015222887 0.00048828125 0.0005170037 0.00037339155 0.00080422795 0.00028722428 0.00040211398 0.00028722428 0.0012925091 0.0003159467 0.0014361213 0.00040211398 0.0010914522 0.00022977941 0.00034466913 0.00037339155 0.025419347 0.0012637868 0.00040211398 0.0048828125 0.008559283 0.00040211398 0.00025850185 0.00028722428 0.0036477481 0.0003159467 0.0006606158 0.0009765625 0.0041647516 0.00028722428 0.00048828125 0.0012925091 0.012321921 0.00091911765 0.0018382353 0.0011201747 0.012092141 0.0017233456 0.0035615808 0.074764475 0.060606062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02787642 0.00017755682 0.00025153882 1.4796402e-05 0.00019235323 0.000118371216 0.00062144885 0.00035511365 0.000118371216 0.00014796402 0.000103574814 0.000103574814 4.4389206e-05 4.4389206e-05 1.4796402e-05 0.000118371216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03913648 0.0011393229 0.0009617661 0.0007990057 0.0011837122 0.0030776516 0.001953125 0.001953125 0.0053710938 0.00023674243 0.00025153882 0.00044389206 0.0015684186 0.00036991003 0.0009173769 0.0012428977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014766809 0.00081380206 0.0032552083 0.00036991003 0.00042909564 0.00035511365 0.00035511365 0.0015240293 0.0024118135 0.00032552084 0.00016276042 0.00020714963 0.0019679214 0.00013316762 0.00045868845 0.002766927 0.009558476 0.00031072443 0.00026633524 0.00045868845 0.0022638494 0.0012133049 0.0076793325 0.0040098247 0.0030480586 0.00016276042 0.00017755682 0.00019235323 0.00022194603 0.00028113162 0.00019235323 0.00026633524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11638849 0.017578125 0.013272372 0.012502959 0.026026871 0.056137547 0.017814867 0.045010652 0.056714606 0.0044833096 0.0022194602 0.008197206 0.030377012 0.007265033 0.028719814 0.07244318 0.049390387 0.008433949 0.010594224 0.005060369 0.010919744 0.025050309 0.013375947 0.019767992 0.02581972 0.007412997 0.0035215435 0.004941998 0.019087357 0.004542495 0.018022018 0.046786223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 350.0 7.0485716 2467.0 0.0032428051 0.00040535064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012160519 0.00040535064 0.0 0.0008107013 0.0 0.002026753 0.0 0.00040535064 0.0 0.0024321037 0.002026753 0.0008107013 0.0 0.0 0.0 0.0 0.0 0.00040535064 0.0 0.00040535064 0.0 0.0 0.0 0.00040535064 0.009323064 0.00040535064 0.008512363 0.0028374544 0.004053506 0.008107012 0.008917714 0.0032428051 0.0024321037 0.0 0.00040535064 0.0024321037 0.0036481556 0.0008107013 0.0032428051 0.008512363 0.054316983 0.056343738 0.061613295 0.007701662 0.00040535064 0.05796514 0.055938385 0.0024321037 0.056343738 0.055938385 0.056343738 0.0 0.0 0.055938385 0.055938385 0.00040535064 0.02553709 0.002026753 0.011349818 0.010539116 0.062018648 0.0024321037 0.0028374544 0.009728415 0.024726389 0.015808674 0.00040535064 0.01986218 0.0068909605 0.015403324 0.020672882 0.008917714 0.0 0.029995946 0.012971221 0.037292257 0.008107012 0.0028374544 0.0012160519 0.004458857 0.0032428051 0.0008107013 0.0 0.00040535064 0.0 0.0 0.0 4.9602427 0.0 0.0 0.0 1.0 34816.0 45056.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1289478000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 28160.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.097652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7929506 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0787275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.858492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2451.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27817.0 0.0 0.0 0.0 0.0 0.0 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 51.0 35168.0 80.0 33188.0 0.0 0.0 0.0 0.0 0.0 0.0 912.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 356.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.021100253 0.0035545866 0.0033734837 0.0037250363 0.0035510354 0.0032776059 0.0031213602 0.005216471 0.0037960568 0.0030751966 0.002894094 0.0032314423 0.0034231981 0.0028905428 0.0028585836 0.0030574414 0.0035474845 0.0028230732 0.0026135622 0.002617113 0.0032491975 0.0027485015 0.0028301752 0.0028763388 0.0029544616 0.0028514815 0.0025425414 0.0026455214 0.0027236443 0.002421806 0.0024679697 0.0024892758 0.0035403825 0.0029331553 0.0026668278 0.002801767 0.002698787 0.0026597255 0.0024537656 0.0023152751 0.0026419703 0.0023365812 0.0024644185 0.0031781767 0.0028798897 0.0027094402 0.0026774807 0.0026845827 0.0030467885 0.0025602966 0.0027200931 0.0027733587 0.0028337264 0.0025354393 0.0026455214 0.0026455214 0.0028763388 0.0028266243 0.0025141332 0.0032740547 0.0027698076 0.002691685 0.00281242 0.002801767 0.0036611175 0.00339479 0.003011278 0.0031497686 0.003103605 0.0032669527 0.0032172382 0.0031781767 0.003387688 0.0028976449 0.0028763388 0.0033379733 0.0032740547 0.0032634016 0.003096503 0.0033415244 0.0041831196 0.0035616886 0.0036149542 0.0036220562 0.0037214851 0.0037356892 0.0039452002 0.0038244652 0.0036078522 0.0036220562 0.003398341 0.003902588 0.0035723418 0.0036717707 0.0035794438 0.0037285872 0.0037676487 0.0037960568 0.0035368314 0.0035794438 0.0041511604 0.0038741797 0.00397716 0.0037640976 0.004392631 0.003930996 0.0041298545 0.0038706288 0.004197324 0.004609244 0.004289651 0.0044494476 0.0048365104 0.004421039 0.0049501434 0.0055183093 0.006725661 0.007094969 0.00723701 0.0073897047 0.008568648 0.009474163 0.011711315 0.013078463 0.014672878 0.0159406 0.017826198 0.01807122 0.01875657 0.017645095 0.015312065 0.014108264 0.011228374 0.009989063 0.008817221 0.0071482346 0.0070843156 0.006367007 0.005912474 0.006523252 0.0049430416 0.005312349 0.004119201 0.004190222 0.0043890798 0.0036895259 0.0037356892 0.0035687906 0.0038777308 0.0035723418 0.00370373 0.003494219 0.003387688 0.0031391154 0.0032278912 0.0033273203 0.0032207891 0.0029899718 0.0028195223 0.0028976449 0.0032634016 0.0033770348 0.0029509105 0.0030645437 0.0030538905 0.002698787 0.0029154 0.002581603 0.003000625 0.0028159712 0.0029651145 0.002617113 0.002894094 0.0029793188 0.0028337264 0.0026668278 0.0032882588 0.0028976449 0.003000625 0.0026526235 0.0031355643 0.003192381 0.0034231981 0.0029473593 0.0031710747 0.002702338 0.0029828697 0.002901196 0.0028408284 0.0028763388 0.0027449504 0.0027413995 0.0033521776 0.00329181 0.003110707 0.0032953608 0.0026526235 0.0025851538 0.0027485015 0.0027698076 0.0031320134 0.0028656856 0.0022833159 0.0024324593 0.0026384194 0.0025283373 0.0025212353 0.0023614387 0.0027591547 0.002507031 0.0022939688 0.0025851538 0.0025638477 0.0025283373 0.002421806 0.002301071 0.0029367064 0.0026455214 0.0023365812 0.0027236443 0.0025745006 0.0023507855 0.0021554786 0.0023827448 0.0026739298 0.0025141332 0.0022442543 0.002308173 0.0025745006 0.0022868668 0.0022797647 0.0020844578 0.0027627056 0.0023578876 0.0021270702 0.0033734837 0.0025283373 0.0025638477 0.0024182552 0.0022300503 0.0028834408 0.0022478055 0.0022797647 0.0019566205 0.002393398 0.0023720916 0.0025496434 0.0023223772 0.0035936479 0.0023472344 0.0020844578 0.00390969 0.0023188263 0.0022158462 0.0022762138 0.004509815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011731224 0.010166585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.949989e-05 0.0 0.0 0.0 3.5640967e-06 2.138458e-05 0.0004241275 0.024187742 0.022459155 0.00027799956 0.0 1.7820483e-06 0.0 0.0 0.0 0.0 0.002947508 1.069229e-05 5.346145e-06 1.7820483e-06 1.2474338e-05 3.5640966e-05 0.0002477047 0.0053532734 0.005374658 0.00014791002 8.910241e-06 0.0 2.4948677e-05 3.5640967e-06 0.0 0.0004241275 0.0032361997 7.1281934e-06 1.7820483e-05 1.7820483e-05 3.0294823e-05 0.00013365362 0.00074667827 0.008521755 0.007892692 0.0008607294 0.00014434592 0.00012474338 2.4948677e-05 3.5640967e-06 0.0 0.00013543568 0.0 0.0 1.4256387e-05 1.7820483e-05 2.4948677e-05 0.000112269045 0.0006664861 0.004717082 0.0044373004 0.0007555885 9.801266e-05 0.000105140854 0.0 0.0 0.0 0.0 0.006205092 0.00012474338 0.00012296134 0.000114051094 0.00047046077 0.0005132299 0.0009979471 0.005677606 0.0048436075 0.00078410126 0.00036353787 0.00021562785 0.00022275605 0.00014969206 0.00014078182 0.0009516138 0.00012117929 5.8807596e-05 8.553832e-05 0.00020315351 0.00072707573 0.0013525747 0.002247163 0.012490377 0.010972071 0.0024841754 0.00084469095 0.00061302463 0.00039205063 0.00011761519 7.306398e-05 6.415374e-05 5.8807596e-05 0.000101576756 0.00021206375 0.00043660184 0.00125278 0.0022703295 0.0032272895 0.013286953 0.012554531 0.0029314696 0.001439895 0.0013115876 0.00063262717 0.00020849965 9.2666516e-05 0.00012830748 1.4256387e-05 7.484603e-05 0.00022988424 0.00071638345 0.0028209826 0.0046261977 0.006044708 0.015450359 0.014546861 0.005891452 0.003172046 0.002867316 0.0013935618 0.00037423015 0.00014078182 3.0294823e-05 0.0018747149 0.00030473026 0.0005363966 0.00091597287 0.0013151517 0.0016786895 0.0021170734 0.0076841926 0.006338746 0.0019263943 0.0010567547 0.0009747805 0.0007074732 0.00059164007 0.0005488709 0.000625499 0.0017018561 0.00027978158 0.00030116618 0.0006219349 0.0015236513 0.0026374315 0.0030134437 0.004447993 0.0033751996 0.0019780737 0.0014577155 0.0015058309 0.001067447 0.0006361913 0.00033324305 0.0006664861 0.001067447 0.000368884 0.0005666914 0.0009801266 0.0015236513 0.0020778684 0.002101035 0.0028441492 0.002694457 0.0017054203 0.0013864336 0.0012866389 0.0010621009 0.0007912295 0.00051679404 0.0009248831 0.05226926 0.043207545 0.04168211 0.040416855 0.04191556 0.044018377 0.042667583 0.041673202 0.042311173 0.035491277 0.0368688 0.03862946 0.039197937 0.037330348 0.03757449 0.038030695 2835.0 16.634567 47159.0 0.0024597638 0.00226892 0.0017600034 0.0016327742 0.001675184 0.0019932569 0.0016539791 0.0016539791 0.0018872325 0.0018660277 0.0017175936 0.0029686803 0.001972052 0.00226892 0.0023749443 0.002120486 0.0023537395 0.0019932569 0.0025233785 0.0020568715 0.002438559 0.0022477151 0.0025233785 0.0022265103 0.0029474755 0.002883861 0.002756632 0.003774465 0.002714222 0.002565788 0.0030534999 0.0035200068 0.0041773575 0.0046438645 0.003626031 0.004516635 0.0044742255 0.004219767 0.004071333 0.004983142 0.0053648297 0.005046757 0.004516635 0.0061069997 0.0058737462 0.0055344687 0.0058525414 0.006509892 0.0076549547 0.006637121 0.0073368815 0.006997604 0.007930618 0.007252062 0.006997604 0.007167243 0.0068491697 0.007273267 0.0068491697 0.007930618 0.008163871 0.0076973643 0.007103628 0.007930618 0.007824593 0.0091605 0.0082911 0.008354715 0.009181704 0.008524354 0.009139295 0.009118089 0.008990861 0.010369177 0.009542187 0.009733031 0.0093937535 0.011789902 0.010793274 0.0121503845 0.013147013 0.013189423 0.014737378 0.017133527 0.01976293 0.019868953 0.024025107 0.026421256 0.031743675 0.03857164 0.051082507 0.054899383 0.061875783 0.068131216 0.06738905 0.053521067 5.7497263 0.0 0.0 0.0 3.0 281608.0 163840.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1543216000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.912215 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0578864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 276.0 160676.0 932.0 159744.0 0.0 0.0 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 157112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0