Input: 0.1399668 0.010499166 0.005939737 0.008531412 0.011812282 0.0030101833 0.0030073037 0.0034267711 0.011482083 0.0020272664 0.002366104 0.0023430667 0.0063179294 0.0020915782 0.0016845892 0.004929943 0.012715529 0.0018016946 0.0015934006 0.0014254217 0.0048579522 0.0019235993 0.0012776002 0.0012987175 0.0038078437 0.0013601498 0.0012132882 0.0011624146 0.0030552978 0.0011480163 0.0010510685 0.0011038618 0.005264941 0.0010491487 0.0012363254 0.0010520284 0.011077974 0.0017594598 0.0010136332 0.0010405098 0.0023219495 0.0011777726 0.0010049943 0.0021136554 0.002045504 0.0010021146 0.0011854516 0.00086197216 0.0044317655 0.0024716908 0.0025158452 0.01206953 0.0035102807 0.0025398422 0.002373783 0.002404499 0.003821282 0.002366104 0.0023123508 0.0051833517 0.0034027742 0.0025542404 0.0020512633 0.002661747 0.008700351 0.0038798347 0.0045671086 0.006002129 0.0068449033 0.01470824 0.0049021067 0.0024112184 0.0070311204 0.0015329282 0.0012823995 0.0015943606 0.0031426467 0.004996175 0.0019936706 0.0017047467 0.0081436215 0.002790371 0.002262437 0.005826471 0.004061252 0.0068122675 0.0051219193 0.0035457963 0.0021779675 0.0042858636 0.0022029243 0.0042647463 0.002151091 0.0037857664 0.004226351 0.0028326055 0.0017172252 0.0028978775 0.0012123283 0.0019399173 0.0054549975 0.005067206 0.003397975 0.001470536 0.004948181 0.0028316458 0.0036283461 0.0011556954 0.0032904684 0.0015809222 0.0031925605 0.0032002395 0.0026348704 0.0009541206 0.0037905658 0.0030380199 0.010886958 0.0076540825 0.0016692311 0.0015482863 0.0024073787 0.0014532582 0.0010913834 0.0013755079 0.002655028 0.002190446 0.002071421 0.0014263815 0.0059282184 0.0028345254 0.0011547356 0.010023066 0.00399502 0.0056450535 0.0015050917 0.0012459242 0.0031608846 0.014765833 0.0029545103 0.051443804 0.0017018671 0.009838769 0.0011134606 0.0011691337 0.00543292 0.00087925 0.0009166853 0.0013572702 0.001695148 0.0014974127 0.0014071839 0.0009186051 0.0017412221 0.0011528158 0.00094260206 0.0009761979 0.0013351929 0.0011969702 0.00086581166 0.0008014997 0.0022883536 0.0022115633 0.00082549674 0.0011969702 0.0013313534 0.0012536031 0.0008168578 0.0008331757 0.0014993324 0.00081397814 0.00090708653 0.0008485338 0.0014273414 0.0009147655 0.00085621286 0.0011057816 0.0019283987 0.00087925 0.0013035169 0.0010760254 0.001454218 0.0010529882 0.0010577877 0.0010817846 0.0029948254 0.0017239443 0.0020810196 0.0016509935 0.0015521258 0.0015252492 0.0014081438 0.0011460966 0.010331187 0.003908631 0.0029804271 0.009455777 0.0032808695 0.001095223 0.004972178 0.0043290583 0.002511046 0.0022278812 0.0013063966 0.0014004648 0.003029381 0.0010213122 0.0014954929 0.0012670414 0.0028345254 0.001350551 0.0024966476 0.0019840717 0.0016596323 0.0008984476 0.0016596323 0.0013342331 0.0039911806 0.0014570977 0.0014791749 0.002142452 0.0018823245 0.0010587475 0.0010395499 0.0011182601 0.0026319907 0.0012209673 0.0013975851 0.0012737606 0.0020522233 0.0014321408 0.00097235834 0.0009800374 0.019878153 0.004441364 0.0013419121 0.005258222 0.0042474684 0.001150896 0.0011854516 0.0010318708 0.005172793 0.0014417396 0.0015166103 0.0013457516 0.0030533778 0.000999235 0.0021914057 0.0016481138 0.0051507154 0.0021146154 0.0026828644 0.0026319907 0.009376107 0.0035304383 0.004949141 0.048328035 0.007874016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018132728 2.5471365e-05 5.28651e-06 4.3253262e-06 1.057302e-05 1.1534203e-05 2.5471365e-05 2.7874323e-05 6.2476934e-06 1.2975978e-05 4.805918e-06 1.4417753e-06 7.6894685e-06 1.9223671e-06 1.9223671e-06 7.6894685e-06 0.0017791508 1.345657e-05 1.057302e-05 1.2975978e-05 7.208877e-06 9.611836e-06 1.1053611e-05 1.2495387e-05 2.114604e-05 6.728285e-06 7.6894685e-06 1.2014794e-05 1.345657e-05 1.2975978e-05 2.2587814e-05 1.5378937e-05 0.0016642894 6.0554565e-05 2.8354914e-05 8.6506525e-06 4.277267e-05 8.17006e-06 8.6506525e-06 1.057302e-05 2.451018e-05 1.6820712e-05 3.796675e-05 1.057302e-05 1.3937161e-05 8.6506525e-06 7.6894685e-06 1.634012e-05 0.003136342 0.00010861374 3.796675e-05 7.6894685e-05 9.852131e-05 5.5268054e-05 4.6617402e-05 4.08503e-05 7.881705e-05 5.7671015e-05 2.3548997e-05 2.3548997e-05 2.4029589e-05 2.3548997e-05 5.2384505e-05 5.2384505e-05 0.0013408511 5.8151607e-05 6.536048e-05 1.7781897e-05 7.641409e-05 2.5951957e-05 0.00022876168 0.00010188546 1.9223671e-06 4.805918e-06 3.3641425e-06 1.2975978e-05 1.4417753e-06 9.611836e-07 2.2587814e-05 5.28651e-06 0.013190802 0.00084343855 0.0008905366 0.00027970443 0.00045992635 0.00035467674 0.002311166 0.0012106107 0.00011341966 0.00023356761 0.00013841044 9.515717e-05 0.00014513872 7.6894685e-05 0.00011005552 0.0012000377 0.009605107 0.00070983404 0.0003042146 0.00025279127 0.0011615903 0.00057767134 0.003278597 0.0016609252 0.00016195943 0.0001811831 0.0001287986 0.00017205186 0.00024414062 8.79483e-05 0.00014994464 0.0010082816 0.006625438 0.00038255105 0.0002979669 0.0016474687 0.0006603331 0.0002748985 0.0010755644 0.0007410725 0.00055940886 9.90019e-05 0.00019415907 0.00012639564 0.0004680964 0.00018743079 0.00012975978 0.0012942337 0.0079638865 0.00057671015 0.00031767116 0.0012851025 0.0014715721 0.00045752336 0.0019329401 0.001144289 0.0005305733 0.00036717212 0.00030757874 0.00041907604 0.00041378953 0.0002398153 0.0001287986 0.001144289 0.014966589 0.0023222195 0.0019377461 0.021861158 0.005105807 0.0021910178 0.005034199 0.0032761942 0.0024010364 0.0021323857 0.0019901306 0.0016114243 0.002055491 0.0016368956 0.0017863597 0.0025259904 0.011250653 0.0013288363 0.00091408554 0.0009890579 0.0043166755 0.0013086514 0.0035395585 0.0018892062 0.0021910178 0.00059305027 0.00041907604 0.00064591534 0.0012913501 0.00051759736 0.0009847325 0.0022693544 0.06860928 0.013704555 0.011384739 0.010365884 0.026037501 0.02130223 0.00941191 0.013668992 0.050495297 0.0054292455 0.0033429964 0.005730096 0.01931979 0.0071286177 0.017073983 0.034908265 0.061398484 0.013164851 0.011457308 0.012447808 0.028307818 0.030279685 0.012567475 0.015518789 0.054429904 0.006463479 0.004965955 0.007620744 0.022940569 0.011006032 0.022472952 0.044210117 0.007943221 0.007490984 0.007550097 0.0074539785 0.0075871022 0.007665439 0.0075130914 0.0075481744 0.0075741266 0.0074996348 0.00753616 0.0074140895 0.007704367 0.0074506146 0.007572685 0.007559228 6097.0 10.082335 61472.0 0.008947163 0.0015454191 0.0035463301 0.0016267569 0.0089308955 0.002114784 0.0017731651 0.0017080947 0.0042783706 0.0016755596 0.002228657 0.0017080947 0.0048314678 0.0019846435 0.0034975272 0.0014966164 0.0128351115 0.010606455 0.012526028 0.03164042 0.01646278 0.012916449 0.012200677 0.012672436 0.015145107 0.0099069495 0.010817934 0.012786309 0.013908772 0.010134695 0.009239979 0.008654347 0.00528696 0.010346174 0.0082801925 0.014055179 0.014510672 0.008914628 0.009126106 0.0075969547 0.008101249 0.009223712 0.0020985163 0.002863092 0.008784487 0.008589276 0.0049616084 0.00896343 0.011761452 0.0046199895 0.0057912543 0.015779542 0.017455101 0.0057424516 0.0063280845 0.006751041 0.0051893545 0.0070763924 0.0043271733 0.006978787 0.004717595 0.0068161115 0.007775898 0.008410333 0.0038554138 0.028956274 0.007125195 0.015974753 0.018366085 0.059067544 0.0059539303 0.010427511 0.013241801 0.02757353 0.0037090057 0.004636257 0.027622333 0.012021733 0.032681547 0.033608798 0.01358342 0.0014152785 0.03634175 0.021017699 0.04823334 0.012493493 0.005628579 0.0060515357 0.007141463 0.0069462517 0.0029444299 0.0017731651 0.004782665 0.0013339407 0.0019521082 0.0019683759 6.0884733 1.0 0.0 0.0 6.0 1041797.0 950272.0 0.0 0.0 18.0 1.0 1.0 0.0 1.0 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 543232.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -33792.0 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 -9728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -543232.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 317440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.685369 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.9992185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1747746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5719705 0.0 0.0 0.0 0.0 0.0 0.0 -5.048567 6.300756 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 -33464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 11925.0 0.0 0.0 0.0 0.0 0.0 -9344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -543220.0 0.0 0.0 0.0 0.0 0.0 0.0 -10164.0 317136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10164.0 573440.0 317136.0 630784.0 0.0 0.0 0.0 0.0 33464.0 593920.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 589824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.056691464 0.008295579 0.006172226 0.005651227 0.005750662 0.004963468 0.0041949176 0.0054212837 0.005043223 0.0056315474 0.0037391735 0.0044600777 0.004948967 0.003175708 0.004331641 0.0046413396 0.0050494378 0.0037640322 0.004930323 0.004154522 0.0043533924 0.0031767439 0.0041110194 0.0038479306 0.0050701536 0.0033435046 0.0031560282 0.0029291918 0.0041524507 0.0034460472 0.0037878552 0.0037899269 0.0061670467 0.0038189287 0.0034833353 0.0030255197 0.0048806053 0.004161773 0.0038344655 0.0037226009 0.0047273096 0.003893505 0.003333147 0.0030980243 0.0043647857 0.0037101717 0.0037298515 0.0035962355 0.0055207186 0.0039546164 0.0031083822 0.0028960467 0.003680134 0.0030752372 0.0026847473 0.002852544 0.004173166 0.0033124313 0.003527874 0.003346612 0.0039950116 0.0032254255 0.0035071583 0.003456405 0.006597932 0.0039566876 0.0036200585 0.0032243899 0.004154522 0.0032192108 0.003551697 0.0030679866 0.005004899 0.003775426 0.0037060285 0.003583806 0.0041296636 0.003128062 0.0035485895 0.003465727 0.005168553 0.003631452 0.0036521677 0.0033403973 0.0039204354 0.003380793 0.0033580058 0.0035340886 0.0046506617 0.003646989 0.0038044278 0.0035154445 0.0041048047 0.0033952938 0.0036884202 0.0037930342 0.005910173 0.003631452 0.0033455763 0.0029530148 0.0040064054 0.00305245 0.003256499 0.0030306985 0.004957253 0.0031694933 0.003209889 0.0030555574 0.003584842 0.0028370072 0.0030928454 0.0031881374 0.0045077237 0.0032782503 0.0032285328 0.0031435988 0.0038924692 0.0033476478 0.0032886083 0.0036355953 0.004619588 0.003294823 0.003476085 0.0031767439 0.0040343716 0.0031974595 0.0034719417 0.0033403973 0.008645673 0.004597837 0.0040105483 0.00353616 0.0043823943 0.0034336178 0.0030203406 0.0033973653 0.00453569 0.0038241076 0.0029550865 0.0031953878 0.0037288156 0.002800755 0.0028535798 0.0029913387 0.00523795 0.0031974595 0.0034936932 0.00303277 0.0036625257 0.003186066 0.0033072524 0.0032647853 0.004539833 0.0028432219 0.0030400206 0.0027106418 0.0035175162 0.003232676 0.0029882314 0.0031508491 0.005002828 0.003408759 0.0032761788 0.002795576 0.0037837122 0.0030224123 0.0030679866 0.0031933163 0.0041400213 0.0030016967 0.0031208117 0.0030130902 0.0036387027 0.0028421863 0.002913655 0.0030410562 0.0046661985 0.0031218473 0.0038386085 0.0028597945 0.0035630905 0.0031467061 0.0029965178 0.0031270261 0.0042539574 0.0031529209 0.003333147 0.003175708 0.003656311 0.00318503 0.0033248607 0.0033631846 0.00671394 0.0040613017 0.0037194935 0.0033341828 0.004114127 0.0032513202 0.003304145 0.0032316402 0.00433682 0.003327968 0.00311874 0.0030793804 0.0036428457 0.002990303 0.003071094 0.0027966117 0.0042560287 0.0032772147 0.003089738 0.0030006608 0.0037122432 0.003014126 0.0029281562 0.0029436927 0.003982582 0.0031094179 0.00272825 0.002638137 0.003532017 0.0029457645 0.003574484 0.0028805102 0.0049500028 0.0032409623 0.0033890791 0.0029758022 0.0038116782 0.003071094 0.0031953878 0.00290019 0.004440398 0.005458572 0.0034719417 0.003137384 0.0037909625 0.0030690224 0.0032388908 0.0031788154 0.004608195 0.0033145028 0.0034294745 0.003042092 0.0037464239 0.0030845592 0.003308288 0.0032409623 0.0043482133 0.0030317344 0.003189173 0.002861866 0.00401262 0.0031021675 0.0042218477 0.00451601 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.004586523 0.0002931763 0.00027138268 0.00027086376 0.00029992196 0.0002407678 0.0003320935 0.0003077054 0.0003315746 0.00035129266 0.00032846123 0.00035181158 0.0005214906 0.00015359325 0.00018420813 0.000739427 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.09918544 0.06202054 0.062433064 0.055310693 0.060609143 0.05956668 0.054947987 0.054487206 0.060484607 0.05317699 0.052159958 0.05295802 0.05642113 0.050523877 0.05662454 0.053829763 4023.0 5.703455 22945.0 0.017171497 0.010459796 0.009326651 0.008585748 0.013423404 0.012508172 0.011723687 0.011505774 0.012638919 0.009718893 0.008498584 0.008585748 0.013902811 0.010503378 0.011854434 0.009893223 0.01686642 0.011898017 0.008672914 0.0074961865 0.009806058 0.008542166 0.007844847 0.008324253 0.010241883 0.008455001 0.0095445635 0.008803661 0.011505774 0.008977991 0.009675311 0.0092394855 0.018130312 0.010939202 0.0104162125 0.009152321 0.010808455 0.008977991 0.0107212905 0.008280671 0.014207888 0.0115929395 0.009762475 0.008977991 0.01141861 0.009370233 0.011636522 0.009588146 0.014818043 0.009631728 0.009980388 0.009065156 0.012115929 0.009370233 0.0095445635 0.009806058 0.013728481 0.009195903 0.01054696 0.009588146 0.011113533 0.009806058 0.010459796 0.010677707 0.017955981 0.010982785 0.009675311 0.008149924 0.013118327 0.008280671 0.009370233 0.008324253 0.015428198 0.009283069 0.008890826 0.008716496 0.01141861 0.008019176 0.009936806 0.007844847 0.013161909 0.007975594 0.008672914 0.008803661 0.011462192 0.009413816 0.008149924 0.007888429 0.010852038 0.008934408 0.011854434 0.008629331 0.01124428 0.009152321 0.010067553 0.008716496 6.5544147 0.0 0.0 0.0 14.0 965454.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.17574602 0.009450442 0.004661595 0.0050018006 0.009863364 0.0032401765 0.0026601823 0.0020646062 0.010532522 0.002606511 0.001417956 0.0017824001 0.0075217453 0.0013322553 0.0010422582 0.0059401793 0.0058518816 0.003479965 0.0016222524 0.0008232455 0.0035708598 0.0027000029 0.00093145337 0.00061288936 0.0029545077 0.0011227649 0.0005514273 0.000783425 0.0019425477 0.0005211291 0.0010621685 0.0006379936 0.0042504054 0.00054796465 0.0012396293 0.0006094267 0.010500492 0.0012517486 0.0004094586 0.0003782947 0.0014638361 0.00061115803 0.0006414563 0.00202392 0.0011547944 0.0011824956 0.0008059322 0.00040859292 0.0024247218 0.0005843225 0.00055315864 0.0058285086 0.0010318703 0.0006795454 0.0004951592 0.00043110014 0.00142315 0.0022152315 0.00066050084 0.003641844 0.0012933004 0.0011617197 0.00054796465 0.0013417776 0.004262524 0.0020100693 0.0048710853 0.002462811 0.0053021857 0.009050506 0.0039422293 0.0017252662 0.0021788736 0.0059142094 0.0030705065 0.003264415 0.0056553762 0.005109143 0.0016586102 0.00089422986 0.009079939 0.0028532252 0.0014499854 0.003163998 0.0029449854 0.0024532888 0.0053333496 0.003675605 0.0012361667 0.0027926287 0.00056527794 0.001224913 0.0012751216 0.0021078894 0.0032843254 0.0022567834 0.0010439896 0.0018395338 0.0006016358 0.0013210017 0.0020767255 0.0037379328 0.003125909 0.0007384105 0.003105133 0.0018577127 0.0050797104 0.00074014184 0.0020949044 0.0008267081 0.0017806687 0.0018871452 0.0019719803 0.00073061953 0.0024671394 0.0019806367 0.011657883 0.010614759 0.001713147 0.0016153271 0.0013106137 0.0014118963 0.00039387666 0.00059557613 0.0021762766 0.0031146554 0.0016084018 0.0011669137 0.0030878198 0.0016213867 0.0009686769 0.010967084 0.0021295308 0.0063531003 0.0006535755 0.00080246956 0.0013738071 0.00927731 0.0009807962 0.029094066 0.00091240875 0.008943164 0.00045187605 0.0004691893 0.001094198 0.00028913142 0.0005142038 0.0008370961 0.00079814123 0.0005193978 0.00031683265 0.00026748984 0.0011322872 0.00075572374 0.000310773 0.0003973393 0.0006656948 0.00032808626 0.00035925012 0.00065530685 0.0008370961 0.0012335697 0.0005921135 0.00066482916 0.0005886508 0.0009046178 0.000310773 0.00028913142 0.0007886189 0.00043889112 0.0011807643 0.00030038506 0.0006362623 0.0005116068 0.000387817 0.00034539952 0.0008249768 0.00035232483 0.00043802545 0.00040599593 0.00070984365 0.00093751296 0.0012725246 0.0010561089 0.002517348 0.000536711 0.0004414881 0.0009063491 0.0008267081 0.0007894846 0.00079727557 0.00066482916 0.008074039 0.0029311348 0.0040383176 0.004620043 0.0028826576 0.0006942617 0.0027389575 0.003426294 0.0026125708 0.0022334105 0.00091933407 0.00088037923 0.012694081 0.0006379936 0.002648063 0.0014318065 0.0016586102 0.0010361986 0.0011651823 0.00094010995 0.00132533 0.0006094267 0.00095742324 0.001237898 0.0020100693 0.0009305877 0.00096954254 0.0018196235 0.0020767255 0.0017252662 0.0016638042 0.0018958019 0.0036167398 0.0022386045 0.002483587 0.0024039461 0.004127481 0.004205391 0.0035552778 0.0030912824 0.018107072 0.0058060014 0.0025736159 0.0060423273 0.005915075 0.0020074723 0.003149282 0.0042348234 0.007754609 0.006547875 0.006353966 0.006418891 0.006153998 0.0042980164 0.006441398 0.0062587433 0.008348454 0.006381667 0.0058207177 0.006089939 0.010777504 0.0076161027 0.008661823 0.12693562 0.014883263 3.4660603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0001663709 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036852886 0.00016333809 6.238909e-05 3.9426435e-05 1.1697954e-05 2.989477e-05 2.5995453e-06 2.5995453e-06 1.9496589e-05 2.5995453e-06 2.5995453e-06 2.5995453e-06 3.0328029e-06 2.1662877e-06 2.9461513e-05 0.020785531 0.005130636 0.00026991946 5.502371e-05 7.8419616e-05 1.1697954e-05 4.5058783e-05 0.00020363105 7.75531e-05 3.6393634e-05 6.238909e-05 0.0001174128 6.6288405e-05 1.9063333e-05 4.1592724e-05 9.055083e-05 0.01765178 0.005056982 0.0003682689 0.00019236635 0.00013257681 1.1264696e-05 0.00011784605 0.00023222604 0.00043022473 0.000107881126 9.704969e-05 0.0002417577 0.0002959149 0.00012997726 0.00015120688 0.001979987 0.047242403 0.010626508 0.0012659786 0.00046791814 0.00042329263 4.2025982e-05 0.00036653588 0.00044018967 0.0003071796 0.0003336083 0.00028638323 6.195583e-05 6.8021436e-05 0.00036480284 0.00022832672 0.022199683 0.046812177 0.003288858 0.00010008249 8.05859e-05 4.8091588e-05 5.589022e-05 5.978954e-05 6.498863e-05 4.3759013e-05 0.0001520734 0.00019020007 8.968431e-05 2.7728483e-05 1.7330301e-05 4.072621e-05 0.008818524 0.011766409 0.0052879085 0.00016767067 0.00015943877 4.59253e-05 0.0003132452 5.2424162e-05 0.0002326593 0.00015250666 4.939136e-05 0.00011481325 5.459045e-05 9.358363e-05 6.412212e-05 0.003083494 0.0021545899 0.003945243 0.038772218 0.0010138226 0.0016832056 0.0006009282 0.0041185464 0.00075776747 0.0028521344 0.0018118831 0.00064728677 0.00093713606 0.0005931296 0.00043585707 0.00047744982 0.0037905702 0.004004166 0.009376126 0.010796778 0.0002785846 0.00053680607 0.00028205066 0.0013959558 0.00037216823 0.0009592322 0.0006251906 0.00031714453 0.00013690938 0.00012001234 0.00015900552 0.0002785846 0.00017720234 0.00028031762 0.0019175978 0.007763542 0.0006329893 0.00043239104 0.00034833906 0.0019305956 0.00096616434 0.0035427469 0.002016814 0.00026688664 0.00013127703 0.00015683923 0.00017070347 0.00023439233 0.000415494 0.0006524859 0.0016338142 0.015985036 0.0010606145 0.0013162364 0.0012616459 0.0054685767 0.001534165 0.0044049295 0.002790612 0.00049348036 0.00041246117 0.0005346398 0.00045492043 0.00055630266 0.0003635031 0.00045492043 0.0010623474 0.010253906 0.00087084767 0.0013955225 0.0008695479 0.0050916425 0.0010588814 0.0022039812 0.0027615835 0.0010350522 0.00039556413 0.0004952134 0.00045058783 0.0020059824 0.0006737155 0.000605694 0.00088817795 0.007553412 0.0010237875 0.0014388483 0.00074736925 0.0022178453 0.0013634615 0.0013898902 0.0013968223 0.0028417362 0.00026602013 0.00044018967 0.00045578694 0.0050002253 0.00045448716 0.0010337525 0.0016576434 0.042911127 0.007952009 0.0085247755 0.006932121 0.014795312 0.014209981 0.005150999 0.010449738 0.027977172 0.0024206098 0.0028880949 0.005050483 0.020977898 0.004037527 0.011207939 0.023919716 0.06246924 0.013821349 0.011047634 0.01240373 0.025538798 0.024603829 0.010109198 0.021629084 0.043617338 0.0037277478 0.0041103144 0.0055760248 0.023221739 0.008510478 0.020021698 0.042333595 0.00029548164 0.00016593764 7.8419616e-05 9.358363e-05 8.101916e-05 8.4051964e-05 6.282234e-05 5.632348e-05 9.704969e-05 6.585514e-05 0.000110913934 0.0001806684 0.00016247158 6.0656057e-05 9.4450144e-05 8.491848e-05 2734.0 12.795172 34982.0 0.021296667 0.00088617 0.0012577897 0.0011720313 0.010948488 0.00074323936 0.0021439597 0.00177234 0.0019438568 0.006146018 0.0027442684 0.0064318795 0.0028871992 0.0040878165 0.010405351 0.0028014407 0.0040878165 0.0013435481 0.0025441656 0.0050025727 0.0027156824 0.0005431365 0.0013149619 0.00065748097 0.001972443 0.0060316734 0.0026013379 0.0028871992 0.0040020584 0.003315991 0.00091475615 0.009204734 0.023412041 0.021039391 0.004402264 0.019409982 0.02089646 0.0073752217 0.01026242 0.02209708 0.0057458123 0.012006175 0.0013435481 0.0012863758 0.00834715 0.0060602594 0.009118975 0.005459951 0.022039907 0.0047452976 0.008633011 0.02644217 0.008175633 0.0067463266 0.027671374 0.021411011 0.0073752217 0.004173575 0.0058029843 0.0032588188 0.00265851 0.003744783 0.004831056 0.016122578 0.0022583043 0.03538963 0.0071465326 0.020324739 0.016980162 0.06303242 0.0065176375 0.011663141 0.010062317 0.03581842 0.005860157 0.0027442684 0.028700475 0.012292036 0.030358471 0.035961352 0.013435481 0.0004002058 0.035646904 0.023612143 0.061117146 0.016208336 0.0048024696 0.00834715 0.0062603625 0.019581499 0.0010005146 0.00037161968 0.0015722371 0.0013149619 0.0012863758 0.0010291007 5.8323636 0.0 0.0 0.0 3.0 1155184.0 1171456.0 0.0 0.0 566.0 0.0 1.0 0.0 0.0 0.0 1156748900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 638976.0 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 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638976.0 0.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0765996 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5278006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6523447 0.0 4.595855 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166102.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -638372.0 0.0 326212.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 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 1.0 2.0 -1.0 -1.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -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 -1.0 0.0 0.0 1.0 -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 -1.0 -1.0 -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 1.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 0.0 0.0 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 -2.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 1.0 0.0 -1.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 -1.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 797324.0 326212.0 843776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 731680.0 0.0 0.0 2312.0 643072.0 64.0 797148.0 0.0 0.0


Input: 0.015045454 0.0044499636 0.004616066 0.0043416014 0.004051054 0.0039469106 0.0038272112 0.004122768 0.0039223908 0.0039070984 0.003926609 0.0038393394 0.004012824 0.003928718 0.0038398667 0.0040141423 0.005154449 0.0038248384 0.0038211471 0.0038153469 0.0038477764 0.0038398667 0.0037504877 0.0038092828 0.0038227292 0.0037818626 0.003935837 0.0037837082 0.0037676254 0.0037768532 0.0037520698 0.0037267588 0.004224539 0.0038269476 0.0037757987 0.0037528607 0.003860959 0.003761825 0.0037752714 0.0037623523 0.0038266839 0.003790036 0.0037507515 0.0037362503 0.0038227292 0.0038203562 0.003835121 0.0038069098 0.003838812 0.0038377575 0.0037228041 0.0038699233 0.0037987365 0.003747324 0.0038092828 0.003814556 0.0038575316 0.0038759874 0.0037829173 0.0038137648 0.0037834446 0.0037786989 0.0037858174 0.003807701 0.004342129 0.004146497 0.0037829173 0.003841976 0.0038477764 0.004026798 0.0038264203 0.0038316934 0.0038577951 0.0038087554 0.003808228 0.003818247 0.003833539 0.003894707 0.0038382849 0.0038427669 0.0040125605 0.0038224654 0.0038203562 0.003916854 0.003817456 0.0038570042 0.0038372301 0.003778435 0.0037597157 0.003821411 0.003864914 0.0038749329 0.0038543676 0.0038264203 0.0038092828 0.0038298478 0.0037794898 0.003911581 0.0038111284 0.0038158742 0.003959566 0.003976176 0.0038997163 0.0038208836 0.0039070984 0.003931091 0.0038886429 0.0038142921 0.0038019004 0.0038103373 0.0038920704 0.0039387373 0.003825893 0.0037025027 0.003894707 0.0038841607 0.0041293595 0.003997532 0.0037765896 0.0037797533 0.0038338026 0.0038451399 0.00387546 0.003857268 0.0038485674 0.0038928613 0.0038477764 0.0038712416 0.0048272535 0.0037786989 0.0037905632 0.0039964775 0.0038079645 0.0039695846 0.0038161378 0.0036951203 0.0037958364 0.0040057055 0.003711467 0.0045034857 0.0037523333 0.0039194906 0.0037552335 0.0037462693 0.0039885677 0.003751806 0.0037446874 0.0038129739 0.0037866083 0.0038459308 0.0037072485 0.0037478511 0.0037842356 0.0038108646 0.0038203562 0.0037881904 0.003724386 0.0037483785 0.0038224654 0.0038266839 0.0038290569 0.003868605 0.003790036 0.0038216745 0.003798473 0.0038129739 0.003775535 0.003752597 0.0037560244 0.0037180583 0.0037987365 0.0038132377 0.00375497 0.0037805445 0.0037214858 0.0037776441 0.0038295842 0.0037987365 0.0037776441 0.0037663071 0.003775535 0.003738887 0.0037607702 0.0038187744 0.0038111284 0.0038158742 0.0038287933 0.0038171923 0.0038699233 0.0038098102 0.0038417124 0.0039247633 0.004118813 0.0038894338 0.0037842356 0.004009397 0.0038074371 0.0037750076 0.003838021 0.0038348574 0.0037694708 0.003790827 0.00375787 0.0038153469 0.0038161378 0.0037283408 0.0037963637 0.0037918815 0.0037834446 0.0037354594 0.0037842356 0.0038562133 0.0038551586 0.0037852903 0.0038422395 0.003871769 0.0039508655 0.0038224654 0.0038171923 0.0038200927 0.0037599793 0.0037201676 0.0037905632 0.0037634068 0.003790036 0.0037744804 0.0037515424 0.0037612976 0.0037929362 0.003758661 0.003789245 0.0037768532 0.0041752355 0.0038309025 0.0037905632 0.0039039347 0.0038414486 0.003734405 0.003744951 0.003751015 0.003999114 0.0037631432 0.0038359119 0.0037657798 0.0038040096 0.0037576065 0.0037881904 0.0037267588 0.0038836333 0.0038193017 0.0038353845 0.003874669 0.0039508655 0.0037663071 0.0038657049 0.0064460933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024862512 2.1499147e-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 0.0004670459 5.2758645e-05 1.4508627e-06 5.2758645e-07 2.5060356e-06 6.594831e-07 1.1870695e-06 6.594831e-07 4.3525883e-06 7.9137965e-07 1.3189662e-06 6.594831e-07 5.2758645e-07 1.3189662e-06 3.033622e-06 1.4508627e-06 0.0010797057 0.00019613026 4.4844846e-06 3.2974153e-06 1.55638e-05 3.4293118e-06 3.4293118e-06 4.748278e-06 8.045693e-06 3.2974153e-06 4.2206916e-06 3.1655186e-06 5.143968e-06 5.012071e-06 5.012071e-06 5.9353474e-06 0.0021769535 0.0011693954 1.5827593e-06 2.1103458e-06 3.033622e-06 1.1870695e-06 9.232763e-07 1.4508627e-06 0.0006629124 1.4244833e-05 1.0551729e-06 6.462934e-06 9.232763e-07 1.1870695e-06 1.4508627e-06 6.9905204e-06 0.0007624943 4.629571e-05 6.067244e-06 7.518107e-06 2.6775011e-05 2.7962082e-05 9.496556e-06 1.1870695e-06 0.00011329919 1.3189662e-06 3.693105e-06 3.033622e-05 3.5612084e-06 2.5060356e-06 1.978449e-06 3.6007776e-05 0.0013590626 1.912501e-05 2.0048285e-05 2.3873286e-05 0.00010393453 1.8201732e-05 6.040865e-05 5.7243127e-05 1.5695696e-05 8.968969e-06 8.968969e-06 7.808279e-05 1.4640524e-05 4.6163814e-06 7.913796e-06 9.0085385e-05 0.0010924996 8.57328e-06 7.8874175e-05 1.5036214e-05 7.293883e-05 2.3609493e-05 0.00024361305 0.00013044574 6.0540544e-05 7.465348e-05 1.3585351e-05 6.5948307e-06 6.9905204e-06 1.8333629e-05 6.9905204e-06 3.7590533e-05 0.00081353827 1.2793971e-05 2.8885357e-05 8.57328e-06 6.357417e-05 8.032504e-05 0.00019533889 0.00013361126 6.489313e-05 4.9988816e-05 1.635518e-05 2.8621564e-05 1.7674145e-05 2.1499147e-05 1.0947419e-05 7.412589e-05 0.0012511712 8.0852624e-05 0.00011554143 5.6319852e-05 0.00011540954 5.750692e-05 0.00020166991 9.325091e-05 3.5612084e-05 9.892246e-05 5.0780196e-05 2.5060355e-05 2.2422424e-05 5.9749163e-05 2.2686218e-05 0.000144163 0.0015582265 8.705176e-05 0.00011936643 7.742331e-05 0.00020127423 7.00371e-05 0.00024809752 0.00024400873 6.172762e-05 9.615263e-05 5.4737095e-05 0.00013387506 8.771125e-05 8.19078e-05 3.732674e-05 0.00035269154 0.00073822535 4.4185363e-05 2.6906908e-05 3.627157e-05 0.00013163281 3.8645707e-05 9.061297e-05 0.0001089466 3.627157e-05 4.2998294e-05 6.3969856e-05 6.22552e-05 5.0648297e-05 9.668022e-05 3.6403464e-05 0.00028621565 0.0005754649 0.000104857805 1.6091386e-05 1.6618973e-05 0.00022527941 8.2962964e-05 1.8993112e-05 0.00017291645 6.0144856e-05 9.602073e-05 0.00018188542 0.00014680093 0.00012371902 0.00027487252 5.8693993e-05 0.00081604434 0.0014885851 0.00019164577 0.00020971561 0.00020417596 0.00048880884 0.00034807515 0.00028529236 0.00040004242 0.0006080434 0.000114222465 0.00012688454 0.00022396044 0.00034490964 0.00025152683 0.00027856565 0.000918528 0.001932813 0.00030850616 0.0003464924 0.000396745 0.0006842796 0.00073782966 0.00042259673 0.0004430407 0.0012718791 0.00016830007 0.0001551104 0.0002490208 0.0006433917 0.00033290705 0.0006189908 0.0012826945 0.060133114 0.059871696 0.060158044 0.060080092 0.06022109 0.060023244 0.060177434 0.060079962 0.05987407 0.0599478 0.059897944 0.059995677 0.06001124 0.0598163 0.059893724 0.059840173 17429.0 5.8282747 101581.0 0.0132898865 0.0101101585 0.010198758 0.010129848 0.01015938 0.009214321 0.009558874 0.009588407 0.010090469 0.009844361 0.009667162 0.009421053 0.010139692 0.010710664 0.010582687 0.010838641 0.010228291 0.010080625 0.010080625 0.010228291 0.00970654 0.009637629 0.009962493 0.009824672 0.009755761 0.009696695 0.009913271 0.009932959 0.010188913 0.009992026 0.009804984 0.010395645 0.010149536 0.011311171 0.010188913 0.010090469 0.01124226 0.010799264 0.010395645 0.010464556 0.009932959 0.010356267 0.00954903 0.009932959 0.010238135 0.010602376 0.009824672 0.009952649 0.0106122205 0.010366112 0.010100314 0.010375956 0.010090469 0.010425178 0.010553154 0.01076973 0.009755761 0.009657318 0.009824672 0.010307046 0.009864049 0.010307046 0.010218446 0.010868174 0.010021559 0.01223654 0.010100314 0.010838641 0.010986307 0.014864985 0.009992026 0.010671287 0.0106220655 0.011911676 0.01031689 0.010080625 0.011882143 0.010562999 0.011941209 0.012718914 0.010848486 0.009529341 0.012197163 0.011931365 0.013575373 0.010818953 0.010051092 0.010287357 0.010503933 0.009667162 0.010051092 0.009873894 0.009982182 0.009883738 0.00954903 0.009401364 6.5797343 0.0 8.0 0.0 70.0 3792840.0 192512.0 0.0 0.0 122.0 0.0 1.0 1.0 1.0 0.0 1459953500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 75264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 5.020054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 75008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 75008.0 114688.0 0.0 0.0 4144.0 3788696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.16024 0.012704845 0.0074575003 0.005632025 0.012293455 0.0037140672 0.0045114667 0.0033436038 0.012273124 0.0031671422 0.00275748 0.0022001904 0.008682501 0.0027065878 0.0020612003 0.0104437955 0.0072769197 0.0019598145 0.0012226086 0.0016343968 0.0047271275 0.0017489375 0.0012640664 0.00093785144 0.00367633 0.0012135729 0.0008156039 0.0009765189 0.0028773358 0.001282005 0.0010543853 0.001289579 0.0065819686 0.0010578401 0.0011986906 0.0010747156 0.012495296 0.0014611242 0.0009565872 0.00092536095 0.0025426166 0.0010174452 0.00089054694 0.0020511015 0.0018689261 0.001796242 0.00231606 0.0013031325 0.0048554875 0.0028069105 0.0026471913 0.006257481 0.003317427 0.0023064928 0.002134283 0.002038611 0.0031474764 0.002603076 0.0022933378 0.0053282664 0.0026729696 0.002768243 0.0018567014 0.0021261775 0.0040930347 0.004465757 0.003104291 0.0027948187 0.0071601197 0.013794176 0.0040541016 0.002774887 0.0032088659 0.002144116 0.0018481972 0.0015263672 0.0038688697 0.008331969 0.0025690591 0.0018028859 0.011055565 0.003952317 0.0023386492 0.0036829738 0.0033697807 0.0043605175 0.0048934906 0.003854652 0.002204044 0.0026340366 0.001242806 0.002156208 0.0020251905 0.0031112006 0.0034772789 0.003940491 0.0015845677 0.0056450474 0.0021022595 0.0035451795 0.0051354608 0.0064477623 0.003184682 0.0026820053 0.007175401 0.0046888585 0.009696358 0.0021405283 0.003969591 0.0028847768 0.004369952 0.004758221 0.003783828 0.0013270505 0.005855526 0.004474394 0.014437703 0.009240056 0.0021271077 0.0023544617 0.0022824418 0.0031126624 0.0013320999 0.0008594536 0.0020251905 0.0017773734 0.001459264 0.0012101181 0.002915073 0.0018709194 0.00089865254 0.015693 0.004654842 0.008845143 0.002227829 0.0015411166 0.0031388393 0.009551256 0.00140691 0.035268556 0.0015207863 0.013100289 0.0008707482 0.00074876635 0.0019257979 0.0007027906 0.000626253 0.0009762531 0.0012073276 0.0020912306 0.0009908697 0.00072298804 0.0012156989 0.000773083 0.00057788554 0.00063342846 0.0011400915 0.00065721356 0.0008017846 0.0006820617 0.0012478554 0.0017251524 0.0006863138 0.0015882882 0.0013572138 0.0010131932 0.0010697991 0.0008407178 0.002099602 0.0009648257 0.00076604047 0.00077507616 0.0011448751 0.0008904141 0.0014099663 0.0016660218 0.0014601941 0.00063927507 0.00061123783 0.0006319668 0.0015977225 0.000786105 0.0017226277 0.0012437361 0.0025333152 0.0010963747 0.000893736 0.0007849091 0.0013861811 0.0009070238 0.0009686791 0.0007967352 0.008654596 0.004754766 0.002620483 0.0045349863 0.007667846 0.0015926732 0.004554121 0.0059828227 0.0044502104 0.0026818726 0.0011124528 0.001396147 0.019896721 0.0008892182 0.0018895222 0.001648349 0.0019885162 0.0011701218 0.0011365038 0.0008821757 0.0015743361 0.00065136695 0.0008860291 0.00067222875 0.002043262 0.0008023161 0.0005824034 0.0012005508 0.0013055243 0.0007527527 0.00071342086 0.00071408524 0.0022340743 0.0010874718 0.0009215075 0.0007591308 0.0018301258 0.0015505509 0.000765509 0.0006623958 0.018017033 0.0040636687 0.0008417808 0.0028708247 0.004019952 0.0009871491 0.0010252851 0.00093705417 0.005098388 0.0013930908 0.0012724377 0.00094927894 0.0023066257 0.0009227034 0.0021664395 0.0020330301 0.0039682626 0.0028479698 0.0018232162 0.0015318152 0.005376634 0.0016797081 0.0027896364 0.042228296 0.00027523964 2.658036e-07 3.7212508e-06 0.00040295828 3.9870542e-07 1.329018e-07 1.329018e-07 5.316072e-07 0.0005446981 9.303127e-07 0.0 2.658036e-07 1.9935271e-07 6.6450906e-07 5.9805814e-07 0.00053845166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008776171 8.6386177e-07 2.2593307e-05 0.00013376567 7.641854e-06 3.9206034e-06 1.322373e-05 1.176181e-05 7.2431485e-06 3.3225453e-07 7.3096e-07 3.3225453e-07 5.7147777e-06 1.9935271e-07 4.6515635e-07 2.3257817e-06 0.0014411208 3.661445e-05 3.887378e-05 1.1296654e-05 1.322373e-05 3.9139584e-05 6.379287e-06 2.9570652e-05 0.00023291042 7.708305e-06 7.907658e-06 2.9902908e-06 5.7147777e-06 6.8444433e-06 9.6353815e-06 0.0001514416 0.005017243 0.0002604211 0.00015396674 5.940711e-05 9.582221e-05 0.00032786877 0.00041146402 4.8509162e-05 0.00014752102 1.5283707e-05 1.1163752e-05 1.47521005e-05 2.4520385e-05 1.7210785e-05 5.4821998e-05 0.00028068863 0.010110771 0.00045027133 0.00026580362 0.0005526057 0.0007086989 0.00048628772 0.00054881803 0.0002690597 0.00014114172 5.0170434e-05 5.668262e-05 0.0001941031 0.000116820695 5.9207756e-05 0.00010007506 0.00031517664 0.014151517 0.00054017943 0.00082963955 0.0005357272 0.0007413263 0.00047990843 0.0021542055 0.0012401068 0.00035484784 0.00025935788 0.00030182002 0.00026859457 0.0006615852 0.00012067484 0.00017901874 0.0014057689 0.023720182 0.001015835 0.0019736583 0.0008836641 0.0012537957 0.0008061824 0.0076619224 0.004076165 0.0011525245 0.000577259 0.0010537785 0.00045027133 0.0005502135 0.00039039907 0.0003515253 0.002122907 0.020559976 0.0010845453 0.0019245511 0.0015370094 0.001603992 0.0010307864 0.0058864206 0.003031889 0.0010852761 0.0004965876 0.0011349814 0.00034169055 0.00048755028 0.00035252204 0.0003899339 0.0012406384 0.020934096 0.001276389 0.003014811 0.004018353 0.0074116015 0.0048566973 0.012054526 0.0069055115 0.0010860736 0.0003964461 0.0006805237 0.00047160208 0.0007116892 0.00040880596 0.00046462473 0.0010404218 0.012154004 0.00078890513 0.0026435498 0.004408021 0.008182632 0.005189151 0.010081001 0.0062228614 0.00079176255 0.0005757971 0.0006755399 0.0003682709 0.0003998351 0.00037916887 0.00033730478 0.0011026863 0.008175521 0.0016285123 0.0024535668 0.016273296 0.002454032 0.0024447953 0.004183151 0.002771202 0.001777296 0.0017071902 0.0015974133 0.0017788907 0.0019418283 0.0016449257 0.0015469771 0.0017858016 0.011705327 0.0016662565 0.0019630927 0.002073667 0.0033792278 0.0027266135 0.0027666835 0.0027961875 0.0061808643 0.0018751116 0.0014859751 0.0021490888 0.0039889812 0.0015548847 0.0027838277 0.0053407922 0.079597086 0.01373806 0.012780436 0.01022387 0.024481177 0.023249643 0.0127918655 0.016619837 0.05479608 0.005186227 0.006623228 0.007212116 0.04041371 0.006766563 0.020377968 0.03721616 0.044713154 0.010982806 0.010953036 0.007402963 0.016703034 0.016132884 0.010839139 0.013091759 0.035462257 0.0040971637 0.0051496127 0.0043094074 0.024546964 0.004881085 0.015421062 0.025313675 0.000738336 0.00048562323 0.00051213714 0.0006417164 0.0005105423 0.00052921503 0.00060430454 0.00054144196 0.00050476106 0.00047798135 0.00046296345 0.0004956573 0.00047917748 0.00049140444 0.00055865274 0.0005398471 44985.0 19.433367 874210.0 0.024775513 0.001455028 0.0014195674 0.0011987967 0.0076240264 0.0035391953 0.0013738117 0.001277725 0.0031937407 0.0015511147 0.0010855516 0.0035140298 0.0026721267 0.00853685 0.012302536 0.0045972937 0.012774963 0.011140344 0.0107937455 0.010698803 0.0098237265 0.008862859 0.008050697 0.0074661695 0.009091637 0.008907471 0.008121618 0.0049381726 0.00598712 0.009493142 0.0044222786 0.0054380526 0.00706924 0.018307958 0.011628785 0.012483271 0.012890495 0.0140035 0.007890552 0.0081170425 0.007261413 0.010940163 0.004762014 0.0052596056 0.008415598 0.010964185 0.009709338 0.0062605096 0.013718672 0.010494046 0.0094050625 0.012634264 0.011641367 0.007920294 0.009383329 0.007887121 0.006358884 0.006608252 0.0052184258 0.0015945826 0.0036043972 0.0015831436 0.0016277554 0.012158406 0.0019400372 0.036361974 0.011102595 0.024825843 0.020162204 0.04284897 0.0090870615 0.015248053 0.014141911 0.03097997 0.010609579 0.010736551 0.020616328 0.0151451025 0.02814198 0.032487616 0.016709944 0.004572128 0.029931024 0.026970636 0.036994543 0.016489172 0.007995791 0.010082246 0.007529083 0.011278754 0.0056679747 0.0021059013 0.0024250466 0.0009883209 0.0010855516 0.00080873014 6.1524215 10.0 34.0 14.0 50.0 7525712.0 7581696.0 1.0 66.0 369.0 1.0 1.0 1.0 1.0 0.0 1544205400.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 4722176.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -229888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2461696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -96256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4726784.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.39124358 0.0 0.0 -6.6342115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.222669 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.481752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.767014 0.0 4.2174373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.0 0.0 0.0 -229668.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2461314.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -139388.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4726291.0 0.0 1304.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -2.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 2.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 2.0 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 1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 1.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 3.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 1.0 0.0 0.0 3560.0 7175792.0 320.0 7179352.0 1304.0 7344128.0 0.0 0.0 8016.0 7517696.0 229668.0 7348224.0 112.0 6849968.0 0.0 0.0 0.0 0.0 24.0 6850200.0 64.0 6850080.0 0.0 0.0 1600.0 4726784.0 0.0 0.0 0.0 0.0


Input: 0.111245625 0.012508571 0.005342279 0.0061739227 0.009457736 0.003336897 0.0026615548 0.004131677 0.011986582 0.0023047149 0.0022825967 0.003005124 0.008742581 0.0031555276 0.0016396948 0.007891769 0.00817783 0.0022118185 0.0018358093 0.0020422458 0.004152321 0.007217901 0.0009584547 0.00084049103 0.003005124 0.00063110556 0.0006812401 0.0012238729 0.0023695948 0.0006488001 0.0006532237 0.0006502746 0.005510377 0.00077413645 0.0005500055 0.0006871383 0.0020304495 0.00073137466 0.0005912928 0.0005219892 0.001999484 0.0005618019 0.00044973643 0.002713164 0.0014760202 0.00046890552 0.00050724373 0.0004556346 0.0022678513 0.00057949644 0.0005234637 0.0073992703 0.0014937147 0.00081247464 0.00070778193 0.00074169645 0.0016382203 0.0031098167 0.00040550006 0.0024905077 0.0014435801 0.0012474656 0.00056917465 0.00047922734 0.0041950825 0.0018579275 0.00089652376 0.0016632875 0.0014450548 0.020009585 0.0021307184 0.0020791094 0.0021469386 0.0013919711 0.0004718546 0.0011162311 0.0011663656 0.009210012 0.001535002 0.0010130128 0.014615697 0.0038721568 0.00094223465 0.004578464 0.001473071 0.0056652045 0.008847274 0.0135923615 0.0043779262 0.0039547314 0.0011147566 0.002164633 0.0028473476 0.008971136 0.0051623844 0.0036067388 0.0014494783 0.00043646552 0.00040255097 0.0004231946 0.0019773657 0.0014878166 0.0014273602 0.00039812733 0.0066192355 0.00043204188 0.009490176 0.00046890552 0.0012976002 0.00039960188 0.0003937037 0.0003583146 0.0038839532 0.0010941129 0.0008331183 0.001515833 0.013349062 0.019315073 0.0017738785 0.0021336675 0.0019110112 0.0008213219 0.00047922734 0.00073579827 0.0012902274 0.005315737 0.0016411693 0.0010218602 0.002210344 0.0016514912 0.00035684006 0.014298669 0.0037409223 0.017103255 0.0011737384 0.0016913039 0.0016588639 0.018566005 0.00044973643 0.06852656 0.0017768275 0.021301286 0.0012740075 0.0013182438 0.0016559148 0.00036863642 0.00034946733 0.00034799278 0.0013049729 0.00056917465 0.00044826188 0.00040402552 0.0013816493 0.0007210528 0.0003126037 0.00035684006 0.0010410292 0.0005293619 0.00045710916 0.00080657646 0.0013816493 0.0015217311 0.00030228187 0.0009009474 0.0012150257 0.0047052754 0.00033177278 0.00042024552 0.0015910348 0.0005588528 0.00032440005 0.0003126037 0.0012223984 0.00031112914 0.0003126037 0.00046743097 0.0043808753 0.0013772256 0.00047038007 0.0015128838 0.0015954584 0.0024713385 0.0023636967 0.0028355513 0.0033840823 0.0009569801 0.00035389097 0.0013462602 0.001291702 0.0008817783 0.0009555056 0.0008847274 0.013179489 0.0022870202 0.0051786043 0.0034504368 0.0021174476 0.0010867402 0.0042732335 0.0032764405 0.0034769787 0.0021469386 0.0006546983 0.0036362296 0.003981273 0.0008626092 0.007380101 0.0047849007 0.0022236148 0.0007225274 0.00090979465 0.00036863642 0.0019228075 0.00038485642 0.0055192243 0.00057654735 0.0034504368 0.001532053 0.00046743097 0.0020599402 0.0023828659 0.001097062 0.0005013455 0.0005500055 0.002940244 0.0005912928 0.000499871 0.00040550006 0.002716113 0.0023150367 0.0004748037 0.0005514801 0.036711764 0.0022958675 0.0006605965 0.006128212 0.009908947 0.0003420946 0.00043056734 0.0011589929 0.007372728 0.0018549784 0.0003878055 0.00064732553 0.0029741586 0.00043351643 0.0042909277 0.002778044 0.006595643 0.0040166625 0.0022398348 0.0029800567 0.012756295 0.0027691966 0.0040004426 0.076437496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0057153283 0.00078376156 0.0006670469 0.00075347483 0.0024901605 0.0026098301 0.0018415812 0.0004520849 0.0065005673 0.00046981373 0.0004240143 0.0007224494 0.0017662337 0.00040628546 0.002276676 0.009942175 0.08965464 0.013524135 0.0076012313 0.010089176 0.018146925 0.034294184 0.011104151 0.021734055 0.065921664 0.004519372 0.0055631557 0.011628629 0.026758699 0.009594985 0.026745403 0.056130182 0.10012573 0.023003882 0.011744604 0.015059894 0.031674013 0.04895518 0.014507346 0.034930944 0.08478439 0.006066211 0.009912627 0.014708272 0.03327552 0.014646221 0.039165918 0.06660718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 607.0 5.6622734 3437.0 0.034623217 0.0023276112 0.00087285426 0.0017457085 0.011056154 0.0032004656 0.0026185627 0.0017457085 0.019784696 0.00087285426 0.0005819028 0.006400931 0.006400931 0.0023276112 0.0032004656 0.00087285426 0.013092813 0.0026185627 0.0032004656 0.006982834 0.008728542 0.004364271 0.00203666 0.00203666 0.0061099795 0.052953158 0.0026185627 0.019493744 0.0061099795 0.012510911 0.0014547571 0.0002909514 0.026476579 0.007855688 0.00407332 0.0072737853 0.007855688 0.0046552224 0.0072737853 0.008437591 0.0058190282 0.0011638056 0.0 0.004364271 0.0032004656 0.0014547571 0.004946174 0.0032004656 0.05993599 0.034332268 0.0075647365 0.04364271 0.011056154 0.0023276112 0.041897003 0.0413151 0.029677045 0.010474251 0.004946174 0.02065755 0.0029095141 0.03549607 0.029386092 0.034041315 0.005528077 0.0023276112 0.0011638056 0.0014547571 0.0061099795 0.0017457085 0.008437591 0.0017457085 0.036659878 0.0026185627 0.025021821 0.00087285426 0.0052371253 0.0011638056 0.0014547571 0.0026185627 0.0066918824 0.0014547571 0.006982834 0.008728542 0.055280767 0.026185626 0.0032004656 0.011056154 0.004364271 0.0011638056 0.0014547571 0.00407332 0.0026185627 0.00203666 0.007855688 0.0017457085 5.662079 0.0 0.0 0.0 1.0 678175.0 2842624.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1472101400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 1545216.0 1024.0 4096.0 8.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -125952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1654784.0 0.0 647680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4843073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -125504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 336034.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 -49616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1653915.0 0.0 647576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 1874268.0 647576.0 2064384.0 0.0 0.0 0.0 0.0 125504.0 2715648.0 112.0 1768416.0 0.0 0.0 0.0 0.0 24.0 1768620.0 64.0 1768528.0 0.0 0.0 2564.0 1552384.0 0.0 0.0 0.0 0.0