Input: 0.0059537287 0.0034196805 0.0034238617 0.0036649816 0.0035351631 0.0038302413 0.0036201824 0.0039337776 0.0034662718 0.0037509962 0.0037253113 0.0039264103 0.0037000247 0.0038360155 0.0038145117 0.004063596 0.0033922037 0.0036978344 0.0036633888 0.003907097 0.0040263627 0.0039375606 0.0037746902 0.004082312 0.0035694097 0.0037967912 0.0036854898 0.0039481134 0.0038248654 0.003936565 0.0038475636 0.004059813 0.0033482008 0.003575582 0.0036866844 0.0038533378 0.0037087854 0.003947516 0.0037922116 0.0039230254 0.0037884286 0.0039700153 0.0037963928 0.0039927135 0.0038467674 0.0039684223 0.0038838014 0.0041275094 0.0036488539 0.0037742918 0.0037312845 0.0039654355 0.0037914151 0.0039158575 0.003824069 0.004002669 0.0038806156 0.003892164 0.0038045563 0.004003465 0.0039287996 0.0039733998 0.0039919172 0.0040811175 0.0034391931 0.0036406904 0.0036299387 0.0037942028 0.0037215282 0.004177685 0.00373905 0.004102223 0.0036520397 0.0038937568 0.003689671 0.0040313406 0.0038035607 0.0040100357 0.0038037598 0.004153991 0.0036900693 0.003989528 0.0037525892 0.004089679 0.003728099 0.0039805677 0.003864886 0.0040643923 0.0038716558 0.003943335 0.0038065475 0.0040643923 0.0038491564 0.0039929124 0.003977183 0.0041075987 0.003724714 0.0037979858 0.0038569218 0.0039295964 0.0038324315 0.0040040626 0.0038077421 0.004072556 0.0038368118 0.0039009247 0.003868669 0.0039949035 0.0039106808 0.003938158 0.0039158575 0.004097245 0.0040040626 0.003923424 0.0038563244 0.004067379 0.004072954 0.0040588174 0.0039068977 0.004139456 0.004038309 0.0040422915 0.003853935 0.0040038633 0.003955082 0.004037513 0.004034327 0.0040633967 0.0034123135 0.003713365 0.0038597092 0.0038770316 0.0036297394 0.0038828058 0.0038615013 0.003809534 0.0036880781 0.0039522946 0.004184853 0.0041075987 0.0037746902 0.003862696 0.004050654 0.0040020715 0.003615802 0.0038601074 0.0039357687 0.0038963452 0.0036966398 0.003844378 0.0040128236 0.003859112 0.0038947524 0.0039379587 0.0040108324 0.0038762353 0.0039805677 0.0039076945 0.0039919172 0.0040349243 0.003623368 0.0038435815 0.00408948 0.0039178487 0.003757766 0.0038730495 0.0040387074 0.0039009247 0.003897938 0.0038340243 0.0039025175 0.0038274538 0.0039192424 0.0038143126 0.003925614 0.003907296 0.0039116764 0.003943733 0.003964042 0.0038824077 0.003809335 0.003835219 0.0040516495 0.0038449753 0.0040044608 0.003850351 0.0040596137 0.0038973407 0.004104811 0.003914663 0.0039986866 0.0039781784 0.003842785 0.0041030194 0.0039317864 0.00393537 0.0038159054 0.004103218 0.0038963452 0.0039170524 0.0038605058 0.0039544846 0.0038198878 0.003842785 0.00393995 0.0038841995 0.004060012 0.0039280034 0.0037965921 0.004000877 0.0038913675 0.003909088 0.0039059024 0.0038820093 0.00400685 0.00382606 0.0040317387 0.0039061015 0.00391984 0.0038603067 0.0040078457 0.0039435336 0.00405145 0.003857519 0.0041074 0.0039733998 0.004044681 0.0038704611 0.0040458753 0.0038216796 0.0040534413 0.0039377594 0.0040982408 0.003912473 0.0040002796 0.0038079412 0.0040458753 0.0038732486 0.0040958514 0.0038413913 0.0041476195 0.004071162 0.003997293 0.0039485116 0.004034128 0.0038754388 0.004099037 0.0039174506 0.0041892333 0.003960259 0.0040108324 0.003914464 0.004155783 0.003957073 0.004024571 0.0045490214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017318399 1.1950591e-06 1.2946474e-06 1.3942357e-06 6.9711785e-07 1.1950591e-06 1.1950591e-06 3.386001e-06 5.0790013e-06 1.2946474e-06 2.8880595e-06 2.3901182e-06 2.7884714e-06 1.4938239e-06 2.1909418e-06 2.2905301e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00043998094 1.07555325e-05 1.5137416e-05 8.863355e-06 1.085512e-05 1.6432063e-05 2.5295418e-05 1.5635358e-05 1.7826298e-05 2.9876477e-07 1.892177e-06 2.6888831e-06 5.4773545e-06 1.4938239e-06 1.892177e-06 3.73456e-05 0.00036210293 5.8757073e-06 1.8722594e-05 1.0556356e-05 2.011683e-05 1.33448275e-05 7.011014e-05 4.521307e-05 2.12123e-05 3.5851774e-06 1.7925887e-06 1.6930005e-06 5.0790013e-06 1.2946474e-06 1.7925887e-06 2.9378538e-05 0.00026002494 6.6724137e-06 2.0216417e-05 2.8283066e-05 6.70229e-05 3.4258363e-05 0.000225667 0.00013464333 1.28468855e-05 3.9835304e-06 3.485589e-06 3.883942e-06 4.6806485e-06 3.1868244e-06 3.386001e-06 3.5851774e-06 0.00013952315 3.9835304e-06 1.0456767e-05 5.576943e-06 4.013407e-05 1.7029593e-05 0.00010307385 6.403525e-05 6.971178e-06 4.2822953e-06 1.6930005e-06 1.5934122e-06 2.2905301e-06 2.2905301e-06 1.7925887e-06 3.1868244e-06 0.000200272 8.365414e-06 6.772002e-06 6.5728254e-06 1.49382395e-05 1.1153886e-05 9.261708e-06 1.9220535e-05 1.9618888e-05 6.5728254e-06 1.33448275e-05 1.12534735e-05 1.8025476e-05 1.7029593e-05 1.6332475e-05 2.917936e-05 0.00047324342 1.2747298e-05 1.1950591e-05 1.543618e-05 1.434071e-05 1.9519299e-05 3.3860008e-05 6.084843e-05 6.672413e-05 6.473237e-05 6.901466e-05 6.672413e-05 7.339655e-05 6.303937e-05 6.19439e-05 0.000116219504 0.0006908438 8.893232e-05 4.6706897e-05 8.106485e-05 0.00016043668 0.0001297635 9.281626e-05 0.00015784739 0.00023632294 7.8077195e-05 8.514796e-05 8.1761966e-05 0.00015416263 0.000105065614 0.0001841387 0.00027834918 0.0008236945 0.00017786464 0.00012040221 0.0001459964 0.00028880595 0.00023980853 0.00014778897 0.00027715415 0.00031539603 7.738008e-05 7.508955e-05 7.897349e-05 0.000181649 0.000119107564 0.00020564976 0.00039646088 0.058035158 0.06084355 0.060967337 0.061908945 0.060677435 0.062295247 0.061785553 0.06327629 0.060977895 0.062124554 0.061823595 0.06279986 0.062396828 0.062482074 0.06305162 0.06394831 26309.0 5.8895054 154947.0 0.008725564 0.008912725 0.009474208 0.009745268 0.008957902 0.009977605 0.010029236 0.010055051 0.009654914 0.0102357585 0.00959683 0.010493911 0.009564561 0.01013895 0.009571015 0.010642349 0.009370946 0.009938883 0.010339019 0.010190581 0.01017122 0.010364834 0.01035838 0.010519726 0.010029236 0.009803352 0.009932429 0.00981626 0.01022285 0.010087321 0.0096936375 0.010184128 0.008080183 0.010435826 0.009532291 0.010706887 0.009861437 0.010603625 0.010061505 0.010971493 0.009132155 0.010403558 0.009603283 0.010797241 0.010713341 0.010642349 0.010009875 0.011365176 0.009558107 0.010939225 0.010087321 0.011281277 0.010351927 0.010287388 0.010061505 0.011242554 0.010274481 0.010816602 0.010351927 0.011610421 0.0103841955 0.010777879 0.010597172 0.01044228 0.009183786 0.010739156 0.010268027 0.011061847 0.011229646 0.013423945 0.010900501 0.011442622 0.010093774 0.011603968 0.010287388 0.010861779 0.011733044 0.010855325 0.011423261 0.012075096 0.011087663 0.010823055 0.012055735 0.012055735 0.012139635 0.011345815 0.010067958 0.011939567 0.01096504 0.010519726 0.009448392 0.010861779 0.010274481 0.010823055 0.009712999 0.009913067 6.5804567 0.0 1.0 0.0 67.0 5022399.0 253952.0 0.0 0.0 159.0 0.0 1.0 0.0 0.0 0.0 1469408100.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 1024.0 4096.0 5.0 1.0 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 5120.0 0.0 0.0 0.0 0.0 0.0 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 -24576.0 0.0 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3271995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0323505 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5049357 0.0 5.652837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4946.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24541.0 0.0 20808.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 0.0 -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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 30004.0 20808.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.19306074 0.009271541 0.007960436 0.006259926 0.007325608 0.0029690745 0.0027596469 0.00435217 0.007358331 0.0015979772 0.0018183127 0.0015859788 0.008176408 0.008401106 0.0013121957 0.0076277507 0.022005184 0.0008617079 0.000936971 0.0011398541 0.0041536503 0.006311192 0.0008900679 0.0008093509 0.0035689976 0.0008900679 0.00084534637 0.0009871464 0.0028043683 0.0006162847 0.00070900016 0.00091951864 0.013250668 0.0008191679 0.0008148048 0.0008573448 0.007025646 0.0026843837 0.0007362694 0.0006468263 0.0021357266 0.0010525925 0.0005355678 0.0014910819 0.0013318296 0.0007820817 0.0016525157 0.00062282936 0.004102384 0.0017332326 0.0019121189 0.008625805 0.0024160545 0.0016459711 0.0016099757 0.0015107157 0.0025338575 0.0028992651 0.0033999283 0.0038744132 0.002337519 0.0025327667 0.0017386866 0.0016525157 0.0051658843 0.0031774114 0.0022218975 0.0032723085 0.004059844 0.012931072 0.0026516607 0.002096459 0.001424545 0.0016568789 0.00066209707 0.0008006248 0.0023931481 0.0062424736 0.0015030804 0.0013471002 0.008994485 0.0031894099 0.0027476484 0.005252055 0.0021455435 0.004916098 0.0061759367 0.006159575 0.0015161695 0.0025698529 0.0007362694 0.0019906543 0.0018237665 0.0037489748 0.0027814622 0.0027607374 0.0011867572 0.006814037 0.0012794726 0.0035515453 0.005710178 0.013869134 0.005422215 0.0024444144 0.008297483 0.009212639 0.0065118936 0.0009184279 0.005810529 0.0028381823 0.007026737 0.0076822895 0.0044263424 0.0009053387 0.008468734 0.0058061657 0.020221775 0.011134575 0.0017495942 0.0022360773 0.0038973193 0.003155596 0.00061301247 0.0004908463 0.0014736296 0.0027476484 0.0011191295 0.0007471771 0.0026702036 0.0017637742 0.0006141032 0.01056083 0.0038580517 0.01525223 0.000700274 0.0006708232 0.0021586327 0.014523596 0.0009402433 0.038700502 0.0008289848 0.012393323 0.0004330355 0.00047993858 0.0011845756 0.00029450774 0.00026287543 0.00039049546 0.0009947817 0.0009151556 0.00027705546 0.00027487392 0.001811768 0.00037631547 0.00036213547 0.0002999616 0.00069591095 0.0005846524 0.0003174139 0.00029014467 0.00083116634 0.001878305 0.00028032775 0.0003534093 0.00081262324 0.0031305084 0.0002999616 0.00023124313 0.0008300756 0.0003250493 0.00027051082 0.0012467495 0.00076353864 0.00029014467 0.00029778006 0.00027596467 0.00088025094 0.0003534093 0.00029014467 0.00033050316 0.0007897171 0.0010067802 0.0008693433 0.0015314403 0.0020168328 0.0011485802 0.0015630727 0.000577017 0.00096969405 0.0009969634 0.0012227526 0.0007209986 0.009032662 0.002129182 0.002346245 0.002370242 0.0028839945 0.0009500602 0.0020855512 0.003425016 0.0021815388 0.002053919 0.0006282832 0.0013950942 0.005028447 0.00096205866 0.0016874204 0.0014278173 0.0017463219 0.00079735246 0.0014376341 0.00072645245 0.0011267648 0.000279237 0.0009849648 0.00071881706 0.0022753451 0.0008093509 0.0005999232 0.0020746435 0.0012936526 0.0003141416 0.00048212011 0.00046357702 0.0029276253 0.00046030473 0.0004788478 0.00036758932 0.002626573 0.0018281296 0.00045157855 0.0003534093 0.015884876 0.0030683344 0.0005791986 0.005152795 0.005588012 0.00044394317 0.00045266934 0.00045266934 0.00542876 0.0012565664 0.00060210476 0.0007908079 0.0028218206 0.0005268417 0.007110726 0.0019601127 0.0061159446 0.002186993 0.0015074434 0.0020844606 0.0053971275 0.0029734375 0.0032101346 0.04679183 0.0022371365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009787471 0.0 0.0 0.0 0.0 3.823231e-06 3.1678203e-05 6.5541108e-06 4.642495e-05 0.0 3.2770553e-05 1.6385276e-05 2.1847036e-06 0.0 0.0 0.0 0.00094106107 1.0923518e-06 2.7308795e-06 1.0923518e-06 1.2562045e-05 2.6762618e-05 5.461759e-05 1.3654398e-05 4.0963194e-05 0.0 2.0208508e-05 1.6385277e-06 0.0 0.0 2.1847036e-06 0.0 0.0009279528 1.1469694e-05 6.0079346e-06 1.0377342e-05 7.1002864e-06 7.1002864e-06 4.9702005e-05 4.915583e-06 2.0754684e-05 3.823231e-06 4.915583e-06 2.1847036e-05 1.2015869e-05 3.823231e-06 1.31082215e-05 1.3654398e-05 0.0024741767 2.0754684e-05 4.5878776e-05 4.3147895e-05 8.902667e-05 0.00014637514 0.00022229359 0.000119066346 5.461759e-05 1.0923518e-05 4.260172e-05 3.331673e-05 9.831166e-06 9.2849905e-06 1.3654398e-05 2.0754684e-05 0.08295374 0.0004800886 0.0103642335 0.0015544166 0.0042869346 0.0034917025 0.035202675 0.017273359 8.0834034e-05 0.00014364425 3.877849e-05 3.7686135e-05 3.7139962e-05 0.00016603747 9.721931e-05 0.00039106194 0.03422775 0.00030421998 0.0040897653 0.0016658364 0.0033218418 0.002571396 0.015481902 0.008304604 0.000102134894 5.9533173e-05 5.3525237e-05 4.7517304e-05 4.4786422e-05 6.936434e-05 5.2432886e-05 7.318757e-05 0.009090005 0.00071876746 0.0013195609 0.0009426996 0.0021142468 0.0019001459 0.008884643 0.0043923464 0.00020099273 0.0002676262 0.00030148908 0.000167676 0.00016549129 0.00020044655 0.00018242275 0.0004713498 0.004313151 0.00031405114 0.00064230285 0.00044677188 0.00087333523 0.0007586383 0.0033922985 0.0015249231 0.00010377342 7.318757e-05 0.00034846022 7.6464625e-05 7.537227e-05 9.339608e-05 0.00024359445 0.00014309808 0.0063269017 0.0015079917 0.0013872868 0.017553002 0.0014380811 0.0013993026 0.0022709994 0.001518369 0.001316284 0.001204864 0.0013829174 0.0012043179 0.0011868402 0.0011393229 0.0014495509 0.0013381309 0.0037926454 0.00051122066 0.0005144977 0.0008176253 0.0010137025 0.0006887278 0.001341408 0.00090774434 0.0029083868 0.00023485563 0.00028237293 0.00033371348 0.0006013397 0.00022939387 0.00063411024 0.0030853476 0.046997342 0.013500922 0.0049325144 0.0071194028 0.012846603 0.0144753 0.0070090755 0.011546158 0.03838251 0.0027423492 0.0025233326 0.004917768 0.01307982 0.0048123556 0.012677289 0.031743743 0.07606592 0.030990567 0.01296567 0.014137217 0.025483474 0.03194583 0.014341487 0.023370866 0.06329687 0.0044578877 0.00698559 0.008322628 0.025304876 0.0093133915 0.025715599 0.053476628 0.00035883757 0.00011032753 0.00015347543 0.00021956272 0.00011305841 0.00010978136 0.00028674235 0.00022557065 0.00010268107 0.000104319595 7.537227e-05 7.154904e-05 8.84805e-05 7.100287e-05 6.5541106e-05 8.0834034e-05 3486.0 14.199082 49498.0 0.017293628 0.0024243405 0.0018788638 0.0011919674 0.008141743 0.003192048 0.002000081 0.0019394723 0.0068891672 0.0055961856 0.0016364298 0.001111156 0.003232454 0.00420219 0.0061618653 0.0023435291 0.01503091 0.011475211 0.012061093 0.012162108 0.01125298 0.010242838 0.011151966 0.009374117 0.011313588 0.01274799 0.023980767 0.011556023 0.012646976 0.013152046 0.012141905 0.009939795 0.003333468 0.006707342 0.005798214 0.012000485 0.009394319 0.0063638934 0.0055355774 0.0042627985 0.0037779305 0.008566002 0.0013737929 0.0016364298 0.007616469 0.007919512 0.0066871387 0.004323407 0.0111317625 0.008182148 0.011596428 0.013859146 0.008788234 0.004586044 0.0084851915 0.014828882 0.0039799586 0.003212251 0.003070831 0.0024849488 0.005919431 0.0013737929 0.0023233262 0.0055961856 0.0018182553 0.030304255 0.005676997 0.023213059 0.022182714 0.062527776 0.013354075 0.008525597 0.01246515 0.038425796 0.0065053133 0.003959756 0.030021414 0.021132167 0.0306275 0.040203646 0.01381874 0.0015152127 0.03541557 0.020243242 0.055739626 0.014626853 0.0041213785 0.0055961856 0.0053739543 0.006788153 0.0033940766 0.0012323731 0.003454685 0.0011515617 0.0012323731 0.0011717646 5.9879684 0.0 9.0 0.0 3.0 916784.0 933888.0 1.0 57.0 344.0 1.0 1.0 1.0 1.0 0.0 2480986000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 1.0 841728.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -841728.0 -10240.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.817277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4895835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.357789 -5.653589 0.5242087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -841718.0 -9934.0 14728.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 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 2.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 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 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 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 0.0 -2.0 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 2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 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 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 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 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 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 -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 0.0 0.0 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 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 -1.0 1.0 -1.0 2.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 2.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -2.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 1782.0 844032.0 240.0 869788.0 14800.0 884736.0 0.0 0.0 4400.0 912384.0 31452.0 901120.0 84.0 21136.0 0.0 0.0 0.0 0.0 24.0 5628.0 64.0 4120.0 0.0 0.0 1432.0 868352.0 128.0 843432.0 0.0 0.0


Input: 0.18347168 0.010245818 0.010092126 0.0063638343 0.0033628165 0.0035856315 0.0019987174 0.0041143578 0.0032973692 0.004099651 0.004833543 0.0031686805 0.004316583 0.0017111904 0.0024583195 0.0034598846 0.008250777 0.0028870364 0.0012192325 0.0014935229 0.0022480057 0.008648608 0.0018678228 0.0022980105 0.0021943243 0.0008861128 0.0018082585 0.0011405485 0.0015957385 0.0011898179 0.0015758836 0.0020788722 0.066480525 0.000914792 0.001398661 0.00078904483 0.00111334 0.0016391248 0.0007441877 0.0019443006 0.0019222398 0.0008221362 0.0013626283 0.0010052416 0.001625153 0.0012361457 0.0011081925 0.0021340244 0.0021119635 0.001764872 0.0012229092 0.002722315 0.0017450171 0.0014869047 0.0011743752 0.0016648626 0.0028164415 0.0013405674 0.0023833124 0.001528085 0.002859828 0.001420722 0.0014383707 0.0022097668 0.013151238 0.001178052 0.006242499 0.003359875 0.0014869047 0.007280832 0.0011957007 0.001299387 0.0014060147 0.0014030732 0.0010265672 0.002389931 0.0026384837 0.007237446 0.0014163097 0.001364099 0.012739434 0.0048541334 0.0065388507 0.0053078523 0.0034275285 0.0047107376 0.0035525402 0.002017837 0.0022156497 0.0014118976 0.0016442724 0.0015472044 0.0011876117 0.0020891672 0.0024259635 0.0022494765 0.0013170358 0.002200207 0.0014501365 0.0018634107 0.0029090974 0.002582596 0.0048158946 0.0015663239 0.008550805 0.002617158 0.007870594 0.0017383989 0.0019148861 0.001718544 0.0022678606 0.0025200902 0.0020891672 0.0014324877 0.0032738375 0.0020031298 0.0026237764 0.0022024133 0.0011604034 0.0025355327 0.0041584796 0.0013265954 0.0013795416 0.0015030827 0.0027112847 0.0055689067 0.0014927875 0.0033870835 0.0036907885 0.0011721691 0.00094714796 0.0039981706 0.0014251341 0.0076816054 0.0016582443 0.0014243987 0.0016339773 0.005456396 0.0016891295 0.016355217 0.0018641461 0.01266075 0.0014913168 0.0016229468 0.002849533 0.0019575371 0.0021788816 0.0011059864 0.0014310171 0.0017229563 0.0013449795 0.0018075231 0.0016317712 0.002724521 0.00094347115 0.0011949654 0.002592891 0.0017097198 0.0009265578 0.002042104 0.0023450737 0.0022921276 0.0016869234 0.0013927781 0.0017060429 0.0017413404 0.0013413028 0.0014824924 0.0014861693 0.0010287733 0.0015722068 0.0018906192 0.0023038932 0.0018016401 0.0013530685 0.002756877 0.0020979915 0.0021913827 0.0014501365 0.0016060335 0.0018817948 0.0020729892 0.001382483 0.001562647 0.0019509189 0.0026531909 0.0013648344 0.0015597056 0.0029076266 0.0026487787 0.0019472421 0.0030164605 0.006053511 0.00153838 0.0017707549 0.0016339773 0.0050828313 0.0016457431 0.0025340621 0.0038628636 0.0017773731 0.0014155745 0.0013854245 0.0016876588 0.0036415192 0.0025002353 0.0016398602 0.0017678135 0.0025252376 0.0014780803 0.0029407179 0.0029392473 0.0028083525 0.0019457714 0.0030326385 0.0047739786 0.0041062688 0.0013221833 0.0014111622 0.004961496 0.003209861 0.0018148767 0.0018994435 0.004541604 0.0047225035 0.0020590173 0.0060461573 0.0027156968 0.0050188545 0.0012096727 0.001380277 0.002017837 0.0038915428 0.0016428017 0.0019538603 0.002867917 0.0029385118 0.0014655791 0.0012501177 0.0038930133 0.0037429994 0.0025649474 0.0014802864 0.0016670687 0.0017111904 0.00279291 0.0016604504 0.003462826 0.0036974067 0.0014163097 0.0021237293 0.0025509754 0.0037819736 0.0026031863 0.0057284804 0.06804096 0.0072936784 0.0 0.05146087 4.7834637e-06 2.2077525e-06 1.8397938e-06 9.198969e-06 6.6232574e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.463051e-06 0.0 0.00072561466 4.047546e-06 1.4718349e-06 3.6795873e-07 7.359175e-06 6.2552986e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013577678 2.9436699e-06 0.002033708 7.359175e-06 2.2077524e-05 1.471835e-05 2.023773e-05 1.6190184e-05 7.3591747e-07 0.0 0.0 0.0 1.1038762e-06 2.2077525e-06 1.1038762e-06 2.5757113e-06 0.0013150845 1.5086309e-05 0.00064172 2.94367e-05 7.947909e-05 7.727133e-06 5.335402e-05 4.378709e-05 1.1406721e-05 6.6232574e-06 5.519381e-06 2.9436699e-06 2.5757113e-06 0.0 1.8397938e-06 4.4155047e-05 0.0044905683 1.471835e-05 0.001382053 0.0001390884 0.00039077218 2.3181401e-05 0.00017735611 7.285583e-05 1.3614474e-05 3.274833e-05 4.7834637e-06 9.934886e-06 6.6232574e-06 5.8873397e-06 6.991216e-06 1.1038762e-05 0.00070574484 1.729406e-05 0.001123746 0.0001578543 4.047546e-05 1.5454267e-05 8.5734384e-05 4.8938513e-05 8.463051e-06 1.6926102e-05 1.0302845e-05 6.991216e-06 4.7834637e-06 8.095092e-06 7.3591747e-07 9.198969e-06 0.0044118254 0.00011811475 0.0020620408 0.0005747516 0.0006803557 6.549666e-05 0.00032049205 0.00017551632 8.757418e-05 6.218503e-05 3.238037e-05 2.3549359e-05 5.9609316e-05 2.2077524e-05 8.315867e-05 0.00026382643 0.010399986 0.00017809203 0.0015472665 0.0004227846 0.0010994608 0.00026014683 0.0006523908 0.00041689727 0.00035029673 0.0001390884 0.00010854783 0.00015270288 0.00016889306 0.00014865534 0.0006402482 0.0021540304 0.012601483 0.00047282697 0.0014615321 0.0011189625 0.0008783175 0.00053280423 0.00064687146 0.0015310763 0.00019906567 0.000490489 0.000267506 0.001212424 0.00033778613 0.0010976209 0.00037642178 0.0016429358 0.017232243 0.00049159286 0.0032866076 0.0032417164 0.0012705615 0.0007410689 0.00312029 0.0016915064 0.0007116322 0.0007373893 0.0003631753 0.00037826158 0.0009232085 0.00045700476 0.0010107827 0.0035290923 0.0207698 0.0007830162 0.0016602299 0.0015630887 0.0013677026 0.0009828178 0.002790967 0.0015307084 0.0009923847 0.0012120561 0.0007789687 0.0008805253 0.0018033658 0.0011881387 0.0015288686 0.0053821327 0.031837262 0.0013518804 0.0017937989 0.0019358309 0.0017555312 0.0016513988 0.0038142602 0.0026180265 0.0025996284 0.0029120254 0.0024292637 0.0029366787 0.0033771254 0.0025977888 0.002846161 0.00814771 0.037098337 0.0030511138 0.0027056006 0.003183211 0.003949669 0.0039187605 0.0049449974 0.0042057685 0.004770953 0.0043021734 0.004033196 0.0046252413 0.006231381 0.0050888695 0.004959716 0.017475097 0.06845505 0.018101363 0.0057817358 0.0070147654 0.026717853 0.03077423 0.01813779 0.011154301 0.033765733 0.008507942 0.0071052834 0.008409329 0.014081781 0.018481463 0.018262161 0.040592104 0.026699454 0.010225941 0.0035331398 0.0047937664 0.010781559 0.011575614 0.00704273 0.00796925 0.014861118 0.0049795858 0.006124305 0.006892971 0.0065890374 0.009414593 0.008196649 0.02083272 0.006633928 0.006575423 0.0050973324 0.0057202866 0.0050726794 0.007394131 0.0061044353 0.007384196 0.006447005 0.0047805198 0.0069338144 0.0067840554 0.006378565 0.007232965 0.0071913856 0.009016829 8292.0 20.676193 171447.0 0.5066172 0.0013940168 0.00480615 0.001965622 0.001866466 0.0015165036 0.0017323138 0.008824885 0.0025080638 0.003021342 0.0022397593 0.0019772875 0.0067251106 0.0028055317 0.0033946352 0.0068592625 0.0060835127 0.0080782985 0.0056518926 0.006748441 0.0052144392 0.0042753736 0.0045378455 0.0049869637 0.00657346 0.0053369263 0.012330341 0.003137996 0.0055702347 0.002916353 0.0046370015 0.002426406 0.012126196 0.0033829696 0.010743845 0.0056110634 0.005879368 0.0032663154 0.0038204226 0.0031263307 0.0020939417 0.004846979 0.002303919 0.0035054565 0.0080608 0.009448985 0.002344748 0.0027763683 0.004491184 0.0021581014 0.014027659 0.0038495862 0.0042578755 0.004327868 0.0027122085 0.0030913344 0.0054302495 0.0017789755 0.003015509 0.0024380712 0.0027705354 0.0025138964 0.003552118 0.006101011 0.0027355393 0.0092040105 0.004706994 0.0056518926 0.009868939 0.013065262 0.01038805 0.0037154339 0.009833943 0.008428261 0.013310236 0.0025722235 0.0069817496 0.006281825 0.009927266 0.010877998 0.0056227287 0.002245592 0.015019218 0.007740001 0.010586362 0.0043628644 0.003476293 0.006025186 0.004747823 0.00303884 0.002980513 0.002163934 0.001510671 0.0025372272 0.0021697667 0.0016098269 4.1148567 6.0 77.0 0.0 7.0 1359872.0 1372160.0 0.0 0.0 109.0 0.0 1.0 0.0 0.0 0.0 1200995100.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1347584.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1347584.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6156173 0.0 3.4466953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1344532.0 0.0 1540.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1346292.0 1540.0 1368064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 508.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.21813378 0.015112279 0.009486454 0.009577921 0.0077818376 0.0071914587 0.010007935 0.005332418 0.0043286546 0.0036289901 0.011637714 0.005362115 0.0020752358 0.0023603283 0.004833506 0.0019552596 0.0034900075 0.0026085966 0.0032001634 0.006709177 0.0021809577 0.0049332883 0.0026074087 0.0021809577 0.0019873325 0.0017390643 0.0023448858 0.004247878 0.0016630397 0.004472389 0.003368843 0.004593553 0.010003184 0.0019018046 0.0031300783 0.002531384 0.0027226335 0.0015893908 0.0020051508 0.0018234042 0.002189273 0.0017283733 0.0023009342 0.0021393818 0.002912695 0.0018317194 0.004530595 0.0043607275 0.0074706115 0.004410619 0.0042656967 0.031533606 0.0030374231 0.002925762 0.0020657328 0.002252231 0.0019303139 0.002873495 0.002272425 0.001462287 0.0015466269 0.0020443508 0.0022854917 0.0041754176 0.0045484137 0.0024826806 0.0017889555 0.0024316015 0.0022652976 0.0027297607 0.0018863621 0.0013423106 0.0025230688 0.0022831159 0.0013233044 0.0015953302 0.00197189 0.0015121782 0.0019124956 0.0018412225 0.002199964 0.0012947952 0.00209543 0.0046125595 0.0038594399 0.030689022 0.0028604283 0.001929126 0.00248862 0.0018578529 0.0014432808 0.0016048333 0.0013886382 0.0012330251 0.0017545068 0.002199964 0.0016642276 0.0062518413 0.002676306 0.0050568283 0.004408243 0.011056838 0.0026430453 0.0037727242 0.0029530833 0.007905378 0.0014919841 0.0017604462 0.0043096486 0.004264509 0.006479915 0.0064062662 0.0041766055 0.0013672562 0.006814899 0.005716105 0.007963584 0.0031930362 0.0028259796 0.0031170114 0.0021429453 0.0024090316 0.0015394996 0.0014349656 0.0012460919 0.0015204934 0.0014646628 0.0038831977 0.030506087 0.0030148532 0.002177394 0.0014634749 0.0013078619 0.0012900436 0.00203366 0.0009895086 0.0012936073 0.0015430632 0.0012401524 0.0017200581 0.001151061 0.0014123959 0.0012472797 0.0012330251 0.0009883207 0.0015288086 0.0012187705 0.0012365888 0.0012710375 0.001047715 0.0010144542 0.0011308669 0.0010215815 0.0014741658 0.0010144542 0.00096218725 0.0012971709 0.001203328 0.0010251452 0.0012615344 0.0018127132 0.0011249275 0.0012936073 0.0009918844 0.0016606639 0.0011332427 0.0015466269 0.0013922018 0.0014979236 0.0014872326 0.0015323722 0.0011522489 0.0016190879 0.0018091495 0.0011962006 0.0011213638 0.0016072091 0.0018792348 0.0018340951 0.0014575354 0.0013054861 0.0015846392 0.001306674 0.0014242746 0.005371618 0.0032417395 0.0018091495 0.0013399348 0.0014183352 0.0016190879 0.0011332427 0.0013553774 0.001565633 0.0015394996 0.0011522489 0.0011320548 0.0009657509 0.0011783824 0.0010821637 0.0016974884 0.0011486852 0.0011427458 0.0013922018 0.001181946 0.0010964182 0.0011771945 0.0011451216 0.001234213 0.0018435982 0.0011047334 0.0012555949 0.0010821637 0.0009847571 0.000964563 0.0009895086 0.0008992293 0.0013221165 0.00096812664 0.0012876679 0.0013019225 0.0012544071 0.0009158597 0.0012460919 0.0010667212 0.0015098024 0.00094555685 0.001006139 0.0012365888 0.00092892646 0.0011047334 0.00071985857 0.0008885383 0.0011391821 0.0010192058 0.0008350835 0.0008730958 0.0012413403 0.00101683 0.001027521 0.0009883207 0.0011938249 0.0010560302 0.0012508434 0.00082201674 0.001565633 0.0008624049 0.0011082971 0.017014084 0.005239763 0.002137006 0.0007863802 0.010021002 0.0024351652 0.002188085 0.005496346 0.05039248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003239547 0.00021351154 1.784219e-06 5.471605e-05 2.3789587e-06 5.412131e-05 0.0 1.0705314e-05 3.9847557e-05 0.0 4.1631774e-06 2.3789587e-06 1.784219e-06 2.9736982e-06 1.1894793e-06 2.4979065e-05 0.0073432503 2.1410628e-05 4.1631774e-06 0.00025752228 0.0001409533 0.00025157488 1.1894793e-05 1.3679012e-05 0.00023135373 1.724745e-05 4.1631774e-06 1.1894793e-06 2.9736982e-06 6.542136e-06 1.3084272e-05 0.00020518518 0.008458387 0.00067384 6.0068705e-05 0.00033126998 2.4979065e-05 0.00031996993 2.1410628e-05 2.4384326e-05 0.00029915405 2.4979065e-05 2.1410628e-05 2.7952763e-05 3.74686e-05 4.4605473e-05 5.471605e-05 0.00053764466 0.013971029 0.00024205903 0.00011656897 0.0008058722 6.0663446e-05 0.0007243929 5.5310786e-05 6.244766e-05 0.0006976296 4.5200213e-05 4.817391e-05 4.9363392e-05 9.158991e-05 0.00011062157 9.4563606e-05 0.0010949157 0.018154427 0.0010170048 0.00033424367 0.0015296703 0.00014333226 0.0013893119 4.817391e-05 0.00034375952 0.0014107225 8.742673e-05 4.8768652e-05 3.271068e-05 5.5905526e-05 2.9142242e-05 9.515834e-05 0.002076831 0.01657242 0.00050017604 0.00032056466 0.0009848889 0.0009872678 0.0015481072 0.0055982843 0.0032306258 0.000986673 0.00015403757 0.00018020612 0.00015701127 0.00023075899 0.0002610907 0.00023373269 0.002158905 0.027096933 0.0013792012 0.0015814127 0.0033894212 0.00094028335 0.0031259516 0.002599607 0.0022076736 0.0025318067 0.00032294364 0.0005418078 0.000758293 0.00045200213 0.00037290176 0.0003045067 0.0047704065 0.0557955 0.0011561739 0.0018859194 0.02333461 0.0010729103 0.022861792 0.003061125 0.00243308 0.021921508 0.00062031345 0.0007124981 0.00067919266 0.00042048094 0.00056976057 0.0008409619 0.022195684 0.027719626 0.0021803156 0.0023742006 0.0061192764 0.001464249 0.005490042 0.0038901921 0.0027316392 0.0047983592 0.0007380719 0.0009854836 0.0013916908 0.0010158153 0.0007517509 0.0007725668 0.008222275 0.052272264 0.008395345 0.009747188 0.010216437 0.007306971 0.0060568284 0.011982219 0.0065873363 0.0020155727 0.0016932237 0.0021261943 0.0067782477 0.0014832807 0.0023759848 0.0012263531 0.0146817425 0.022779124 0.0036505118 0.0073914244 0.0054222415 0.003915171 0.003074804 0.014050724 0.007591257 0.0015058807 0.0012418164 0.0013643327 0.002743534 0.0011966162 0.0017574556 0.0010039206 0.004137009 0.014091761 0.002967156 0.0046794116 0.0049654813 0.0030409037 0.0026900074 0.007592446 0.004454005 0.0016325603 0.0011520108 0.0013786065 0.001203753 0.0012596586 0.0010158153 0.001105621 0.004018061 0.042010028 0.023489242 0.014418868 0.014059645 0.010438871 0.011427328 0.01844347 0.015588126 0.010947968 0.008226438 0.010158153 0.010946778 0.008975216 0.0069971117 0.006628373 0.03206777 0.009211328 0.0064338935 0.0047531594 0.0051177344 0.004879839 0.00453489 0.0057172324 0.00551621 0.004629453 0.0043731206 0.004795386 0.0049220654 0.004600311 0.0041952934 0.004101325 0.0074806353 5684.0 19.073011 108411.0 0.053297173 0.0026288845 0.008071137 0.004612078 0.0035881968 0.0024351773 0.0036250935 0.0025827638 0.0032284546 0.0033483687 0.002416729 0.0021215559 0.010884505 0.0044737156 0.02037616 0.012489508 0.029120661 0.014666408 0.010367951 0.0100451065 0.006779755 0.008919759 0.005488373 0.005709753 0.00448294 0.008818293 0.008246396 0.0030255232 0.003357593 0.006853548 0.0031177648 0.0014666409 0.0011530195 0.0103864 0.005276217 0.010893729 0.008670707 0.0076191532 0.0055160453 0.002776471 0.004529061 0.009039673 0.0013190543 0.004252336 0.0055160453 0.004427595 0.005746649 0.0040494045 0.006180185 0.0015404341 0.005322338 0.014860116 0.012129765 0.0031638856 0.0062724263 0.003016299 0.0022506942 0.001890952 0.0026381086 0.0015404341 0.0014574167 0.0012360369 0.0012083645 0.0070564793 0.0018356071 0.03408326 0.009814503 0.025154274 0.022626854 0.06653384 0.010026658 0.017682707 0.012452611 0.046508197 0.0016418998 0.005709753 0.02163987 0.020256247 0.036868952 0.036195587 0.018079346 0.0026196605 0.040364906 0.030845579 0.04653587 0.015450462 0.0064015645 0.009519329 0.0071118246 0.009630019 0.0025274188 0.0011622437 0.0012637094 0.0008209499 0.001651124 0.0034037137 5.835101 1.0 264.0 0.0 12.0 841832.0 843776.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1540392600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 710656.0 512.0 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 -710656.0 0.0 113664.0 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 -6.671302 0.0 3.5630622 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 -710512.0 0.0 113320.0 0.0 0.0 0.0 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 718616.0 113320.0 720896.0 0.0 0.0 16488.0 825344.0 12.0 835584.0 28.0 718304.0 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: 0.2211085 0.0136223165 0.0021755043 0.003537736 0.0038630448 0.004777977 0.0008945999 0.00087426807 0.0025414769 0.0006912817 0.0014435588 0.0005286272 0.0014028952 0.00042696812 0.000548959 0.0036597268 0.008092063 0.00058962265 0.0007929408 0.0007319453 0.0020331815 0.0011385817 0.00048796355 0.0005286272 0.0013418999 0.00048796355 0.0006912817 0.00060995447 0.0017078725 0.0008945999 0.0007116135 0.00058962265 0.006689167 0.0006506181 0.00046763176 0.00032530905 0.0015248861 0.0028871177 0.00056929083 0.00056929083 0.0015452179 0.000548959 0.0010165907 0.0008132726 0.0023584906 0.0037207222 0.0017282043 0.0006709499 0.007685426 0.003415745 0.002968445 0.009576285 0.0054692584 0.001768868 0.0017485361 0.001768868 0.0026837997 0.0018908589 0.0037003905 0.0046763173 0.0075634355 0.0040866947 0.0039037084 0.0030294405 0.034523424 0.00481864 0.0024804815 0.00526594 0.0042493492 0.010796194 0.006038549 0.0028261223 0.002419486 0.0049812947 0.00058962265 0.0023381587 0.0062418673 0.0036597268 0.0039037084 0.004208686 0.009921926 0.00060995447 0.005021958 0.006363858 0.008051399 0.009820267 0.0027041314 0.0017485361 0.0020738451 0.007868413 0.005286272 0.001321568 0.0017282043 0.004310345 0.0010572544 0.0075227716 0.0013012362 0.0053675994 0.0011385817 0.002297495 0.013073357 0.0069534807 0.0044526677 0.0012199089 0.011507807 0.0038630448 0.0026634678 0.00087426807 0.0055709174 0.001768868 0.0029481133 0.0038020494 0.0021145088 0.0008132726 0.0037207222 0.005814899 0.0067501627 0.0025211452 0.00060995447 0.00060995447 0.0015858816 0.0031717632 0.0007116135 0.00056929083 0.0011589135 0.0006302863 0.0006709499 0.00042696812 0.012300748 0.0009759271 0.00046763176 0.005733572 0.0033140858 0.0027244634 0.0011589135 0.0008132726 0.0011589135 0.016590761 0.0009149317 0.03271389 0.0014028952 0.0055302535 0.0006302863 0.0006506181 0.0069128172 0.0005082954 0.0005286272 0.0049812947 0.0017282043 0.0010165907 0.00095559534 0.000548959 0.0014638907 0.00085393625 0.0006709499 0.0007929408 0.0010775862 0.000548959 0.00087426807 0.0007319453 0.004290013 0.00085393625 0.0007319453 0.0030091086 0.0013012362 0.00095559534 0.000548959 0.00056929083 0.0015655498 0.0007929408 0.0008336044 0.002744795 0.0015045543 0.00085393625 0.00085393625 0.0005286272 0.001646877 0.0020128498 0.0009962589 0.0012605726 0.0038833767 0.0031717632 0.0021145088 0.0019315224 0.0054692584 0.000548959 0.0029481133 0.0005082954 0.0012809044 0.00075227715 0.00077260897 0.00085393625 0.015614834 0.0020331815 0.0021755043 0.011914444 0.0020331815 0.00095559534 0.0012402408 0.0011182498 0.0014028952 0.0007929408 0.0006709499 0.00032530905 0.0012199089 0.00036597266 0.00038630448 0.00030497723 0.001423227 0.00075227715 0.0008945999 0.00032530905 0.0010775862 0.00046763176 0.0006506181 0.00036597266 0.0022161677 0.00044729994 0.00036597266 0.0006709499 0.0011995771 0.0006506181 0.00058962265 0.0014028952 0.0019111907 0.0007319453 0.0008336044 0.00044729994 0.0013825634 0.00044729994 0.00044729994 0.0004066363 0.023218933 0.0037817177 0.00028464542 0.004290013 0.005977554 0.0006709499 0.0004066363 0.0006302863 0.0014028952 0.00044729994 0.00056929083 0.00056929083 0.0010369226 0.00034564084 0.00044729994 0.0007116135 0.0050829537 0.0005082954 0.0006506181 0.0010572544 0.0031310995 0.0009149317 0.0013622317 0.06548878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030127992 3.116689e-05 0.00012466755 0.00020777926 0.011168135 0.0052672043 0.00015583444 2.0777925e-05 0.0002493351 0.0 0.0 0.0001662234 0.00031166887 3.116689e-05 0.00013505651 0.0003947806 0.025317902 0.0001662234 0.0004467254 0.0013090093 0.0040101395 0.001381732 0.0033971907 0.0018492354 0.00048828125 0.00025972407 0.00036361368 0.00035322472 0.0023375165 0.0003324468 0.00027011303 0.00027011303 0.023655668 0.00046750333 0.0004778923 0.0028881317 0.009069565 0.0068463264 0.012684924 0.0045711435 0.000280502 0.0003012799 0.00023894614 0.00022855718 0.0008207281 0.00070644944 0.00027011303 0.00032205784 0.012207031 0.0012778424 0.00031166887 0.0010077294 0.01171875 0.005537317 0.004415309 0.0018388464 0.00057139294 0.00015583444 0.00057139294 0.00091422873 0.00023894614 0.0001662234 0.00062333775 0.0009973404 0.025775017 0.0040828623 0.0023894615 0.029390376 0.0065138796 0.0053918716 0.0076358877 0.0046230885 0.0029296875 0.0020466256 0.001942736 0.002763464 0.0031686337 0.0020674036 0.0023894615 0.0032725232 0.06629197 0.0036049702 0.0035530252 0.011625249 0.0155730555 0.012009641 0.007064495 0.004488032 0.031904504 0.011957696 0.0038023603 0.005038647 0.0043737534 0.003376413 0.009734458 0.018367685 0.026564578 0.001973903 0.0027530752 0.002794631 0.008425449 0.0067839925 0.0036673038 0.0026803524 0.015292553 0.0051633143 0.0021193484 0.0034906915 0.0027322972 0.0018907912 0.0068463264 0.013204372 0.068463266 0.010014961 0.016102891 0.017266456 0.034200467 0.033410903 0.029972158 0.011895362 0.03723404 0.0047581447 0.013329039 0.017754737 0.029421542 0.0051840926 0.026564578 0.04868268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 694.0 11.262248 7816.0 0.005629478 0.0008955988 0.0008955988 0.0010235414 0.0014073695 0.00038382804 0.0010235414 0.0006397134 0.0011514841 0.0007676561 0.0008955988 0.0011514841 0.0010235414 0.0006397134 0.007292733 0.0015353122 0.008572159 0.007548618 0.0062691914 0.004861822 0.0040941657 0.0034544524 0.004477994 0.0046059364 0.0038382804 0.0035823951 0.008572159 0.010747185 0.011131014 0.009723644 0.00908393 0.006397134 0.007548618 0.02674002 0.011642784 0.025844421 0.019447288 0.04631525 0.0314739 0.0124104405 0.006525077 0.027123848 0.0016632548 0.011258956 0.032241557 0.01957523 0.022134084 0.022006141 0.017528147 0.0008955988 0.02814739 0.025588537 0.043244626 0.01663255 0.008828045 0.0055015353 0.0051177074 0.0016632548 0.0034544524 0.0012794269 0.0014073695 0.0010235414 0.0007676561 0.0410696 0.0014073695 0.029938588 0.005757421 0.011131014 0.016120778 0.038766634 0.0049897647 0.006525077 0.013561924 0.020726714 0.0015353122 0.0043500513 0.030962128 0.006525077 0.015353122 0.021622313 0.008955988 0.0017911976 0.020087002 0.019703172 0.03198567 0.007932446 0.0029426818 0.0023029682 0.0040941657 0.0038382804 0.0023029682 0.0014073695 0.0016632548 0.0005117707 0.0011514841 0.0006397134 5.8411517 0.0 0.0 0.0 1.0 49184.0 65536.0 0.0 19.0 11.0 1.0 1.0 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 -1.0 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 1.0 0.0 4.0 0.0 36864.0 1024.0 4096.0 7.0 1.0 0.0 1.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 1024.0 0.0 0.0 0.0 -3072.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0393538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.168173 0.0 0.0 4.753394 0.0 0.0 0.0 -4.6455507 5.2447853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2161.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36692.0 0.0 0.0 585.0 0.0 0.0 0.0 -2686.0 2872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 585.0 53248.0 2686.0 49152.0 2872.0 61440.0 0.0 0.0 0.0 0.0 3280.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.33893204 0.011590958 0.009853363 0.007627487 0.0111579895 0.006340027 0.0058231354 0.0021705627 0.007003784 0.0017986298 0.0016269684 0.0015506744 0.0049648285 0.0016098022 0.0011978149 0.0062828064 0.021284103 0.0011062622 0.0012645721 0.0011024475 0.0024433136 0.002937317 0.0011672974 0.00076675415 0.0020370483 0.0014667511 0.00066185 0.000749588 0.001750946 0.0010662079 0.0006465912 0.00078201294 0.0067424774 0.00076675415 0.0014343262 0.00064849854 0.0034255981 0.0011749268 0.0011768341 0.00084114075 0.0018444061 0.0006942749 0.00083351135 0.0015563965 0.0012569427 0.0016021729 0.0017032623 0.0010700226 0.007051468 0.003976822 0.0043678284 0.005306244 0.0039691925 0.0036411285 0.0034656525 0.0031757355 0.004119873 0.003829956 0.0029144287 0.0036144257 0.0034809113 0.002735138 0.002298355 0.004032135 0.010126114 0.0031375885 0.003162384 0.0018978119 0.0028018951 0.0110569 0.0020942688 0.0010852814 0.0025482178 0.0014667511 0.001285553 0.00086021423 0.0019264221 0.0079422 0.0013237 0.0010051727 0.0063438416 0.0034160614 0.0025348663 0.0028018951 0.002714157 0.007907867 0.0031642914 0.0022258759 0.0018806458 0.0017471313 0.0010108948 0.0007610321 0.0012683868 0.0019359589 0.0011672974 0.004081726 0.00141716 0.0064907074 0.0019245148 0.0046691895 0.005098343 0.009651184 0.003156662 0.0021362305 0.0047073364 0.006099701 0.0036621094 0.0016155243 0.005754471 0.002691269 0.005098343 0.0063323975 0.0040187836 0.00071144104 0.0070819855 0.0063667297 0.012626648 0.0059108734 0.0016536713 0.001461029 0.0022964478 0.001657486 0.00089263916 0.0006637573 0.0020980835 0.0020637512 0.0009727478 0.0009860992 0.0019207001 0.0015697479 0.0014228821 0.007478714 0.0020809174 0.004825592 0.0013122559 0.0004749298 0.0017356873 0.005990982 0.0008735657 0.020877838 0.0011348724 0.0058231354 0.0005950928 0.0005683899 0.002401352 0.001253128 0.00061035156 0.0012283325 0.0010299683 0.0008049011 0.0006465912 0.0004825592 0.0010356903 0.00049972534 0.0004348755 0.00041770935 0.0010280609 0.00055503845 0.0004043579 0.00069999695 0.0013751984 0.0009059906 0.00039863586 0.0009403229 0.0012245178 0.0005970001 0.00060272217 0.000579834 0.0011291504 0.00044059753 0.00046157837 0.00039672852 0.0010585785 0.00046348572 0.0004749298 0.00039863586 0.0011978149 0.00044059753 0.0005187988 0.0004043579 0.0010509491 0.00067329407 0.0017814636 0.0010471344 0.0016784668 0.00076675415 0.00071525574 0.0004940033 0.0011806488 0.0006866455 0.00071907043 0.0005130768 0.0043125153 0.0019512177 0.0015544891 0.0022850037 0.0025482178 0.000541687 0.001247406 0.004070282 0.0021095276 0.0018577576 0.00046157837 0.00056648254 0.010341644 0.00050354004 0.00063705444 0.0005931854 0.0016708374 0.0007839203 0.0009689331 0.0005340576 0.0018043518 0.00039672852 0.00063323975 0.0005226135 0.0016288757 0.0004272461 0.0004711151 0.00058555603 0.0015163422 0.000415802 0.0003528595 0.00038146973 0.0023612976 0.00057411194 0.0006790161 0.000623703 0.0025959015 0.0014781952 0.0006351471 0.0008239746 0.007965088 0.0023994446 0.00057792664 0.0029258728 0.0032310486 0.00059890747 0.0004901886 0.0004825592 0.0023651123 0.0006313324 0.0004787445 0.0006351471 0.0023040771 0.00081443787 0.0014667511 0.0009384155 0.0035972595 0.0009727478 0.0007209778 0.001832962 0.0051956177 0.0013084412 0.0018234253 0.030097961 0.06849315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029594049 0.0 0.0001528865 1.8155271e-05 0.0004328599 0.0003908161 0.0004682149 0.00022072988 0.0 0.0 0.0 0.0 2.5799596e-05 0.0 0.0 7.644325e-06 0.050216526 0.000103198385 0.00028761773 6.879892e-05 0.00040610475 0.0007510549 0.0019063035 0.0009870734 2.1977434e-05 3.8221624e-06 0.0 0.0 2.0066353e-05 1.9110812e-06 1.0510947e-05 9.555406e-06 0.0068837143 9.555406e-06 0.00010702055 7.644325e-06 0.00010702055 0.00011275379 0.00034399462 0.00022741867 5.7332436e-06 0.0 9.555406e-07 0.0 5.7332436e-06 9.555406e-07 6.688784e-06 8.599865e-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 0.0047108154 8.886528e-05 8.3132036e-05 0.00028284002 7.930987e-05 6.11546e-05 8.7909735e-05 6.975447e-05 7.0710004e-05 4.2043786e-05 5.2554733e-05 4.1088246e-05 3.6310543e-05 4.968811e-05 5.1599192e-05 6.306568e-05 0.01633401 0.0005695022 0.00052745844 0.00018155272 0.0002962176 0.0003783941 0.0032306828 0.002656403 5.1599192e-05 0.00012517582 8.217649e-05 8.504312e-05 0.00013473122 3.9177165e-05 0.00010033177 0.0006478565 0.047836274 0.00516183 0.0018957925 0.0010969606 0.0012508027 0.000775899 0.0038508286 0.002610537 0.000965096 0.0015680421 0.0005742799 0.00082176493 0.000611546 0.00042903773 0.0005867019 0.0043285987 0.052115183 0.003646343 0.0025054275 0.0055144248 0.004933456 0.0025589378 0.0055335355 0.003941605 0.0009517184 0.0005121698 0.0005370138 0.0003717053 0.00084660895 0.00080265413 0.00049114786 0.0028006895 0.014722969 0.0018461044 0.0015594423 0.0017887721 0.005649156 0.003425613 0.011374756 0.0060992157 0.00028761773 0.00025035164 0.00034495015 0.00023124083 0.0002331519 0.000235063 0.00025990704 0.00061536813 0.018514555 0.0021480552 0.0031360842 0.00510832 0.007853588 0.0052573844 0.016317766 0.008368624 0.0005503914 0.00043859312 0.00035928327 0.00043381544 0.0003908161 0.0003459057 0.00059912394 0.00062779017 0.01834447 0.0038288513 0.0034447238 0.031959966 0.004363954 0.0036539873 0.0067652273 0.0050930316 0.003280371 0.0022674978 0.0021031448 0.0024910944 0.0028350889 0.0023095417 0.0023324746 0.0027739343 0.008806262 0.0013100462 0.00048350354 0.0006516787 0.0023057195 0.0014256666 0.0004892368 0.001071161 0.005168519 0.0005733244 0.00027041798 0.0008685864 0.0025704042 0.00045388177 0.0017266619 0.0050930316 0.052446757 0.012554848 0.0045894617 0.005497225 0.017672723 0.015937462 0.008575021 0.009337543 0.03346303 0.0037848963 0.0028981545 0.0041976897 0.01989149 0.0041097803 0.014419108 0.025458468 0.022702688 0.00726402 0.005083476 0.0065989634 0.006175659 0.007881299 0.007868877 0.0077933893 0.011532419 0.0022818309 0.0022999863 0.0025302714 0.0061766147 0.0025407826 0.0060055726 0.010724032 0.0072687976 0.0027576901 0.0029229987 0.0031915056 0.002190099 0.0023859849 0.0037791631 0.0030405303 0.0024328064 0.0016999068 0.0019416586 0.0018107494 0.0018403712 0.0017906831 0.0019043924 0.0020955005 3042.0 21.17324 64409.0 0.023257619 0.0015836296 0.0012886397 0.00096259837 0.010464376 0.0015525781 0.0019251967 0.0030120015 0.0029343725 0.0014749492 0.0012420624 0.0013041656 0.0034156716 0.0026393826 0.009191263 0.005030353 0.021394525 0.014376873 0.01751308 0.011163036 0.0122653665 0.010945675 0.010774892 0.008772066 0.011690913 0.010759366 0.010464376 0.008477076 0.010309118 0.00735922 0.00735922 0.02068034 0.061062895 0.012374047 0.006086106 0.006086106 0.0063966215 0.007421323 0.0041453834 0.002763589 0.0044093216 0.0044093216 0.0017078358 0.0020183516 0.005154559 0.0025617538 0.004471425 0.0017078358 0.008244189 0.0039901254 0.0031983107 0.007700787 0.0056203324 0.010215963 0.013398749 0.007716313 0.0056358585 0.0020183516 0.004952724 0.0010402272 0.0029809498 0.0008849695 0.00069866015 0.021736093 0.002825692 0.035786923 0.009439674 0.026176466 0.020773495 0.053191323 0.008508128 0.011240665 0.010200438 0.035010636 0.0028877952 0.0037106615 0.030399479 0.012901924 0.025151765 0.036330327 0.014749492 0.00093154685 0.03783633 0.032992285 0.04898384 0.011163036 0.0039745998 0.004688786 0.007980251 0.0068934467 0.001133382 0.0008849695 0.0028877952 0.0006676086 0.00049682497 0.0008073406 5.8613815 0.0 88.0 12.0 7.0 524288.0 36864.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 1459333800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 15360.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7868977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7438974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.675866 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3408513 0.0 5.9482455 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3949.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14859.0 0.0 1552.0 0.0 0.0 0.0 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 0.0 221.0 24208.0 100.0 22812.0 1552.0 28672.0 0.0 0.0 14536.0 25600.0 1108.0 32768.0 56.0 20752.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 21120.0 0.0 0.0 224.0 20480.0 0.0 0.0 0.0 0.0