Input: 0.14923438 0.023932172 0.009478445 0.0072667077 0.00999567 0.023010489 0.007426085 0.006677312 0.016543675 0.0012945655 0.0012284089 0.002438775 0.01633919 0.0014749928 0.00093220745 0.0033845145 0.0029259287 0.00095927157 0.0009171719 0.0009352146 0.0015020568 0.0012434445 0.0013456866 0.0009457395 0.0014223682 0.00096829294 0.0010855707 0.00084199384 0.0010118962 0.0010915849 0.00095927157 0.00090213626 0.0026718269 0.0009081505 0.0011066205 0.0012915584 0.0022282766 0.0020643885 0.00095927157 0.00086905796 0.0010795564 0.0010630172 0.0010254282 0.0008284618 0.0011487202 0.00080440484 0.0017035339 0.0020508564 0.005073013 0.0038761788 0.0046084127 0.0047843293 0.004128777 0.0069975704 0.0041949335 0.0037453691 0.0040551024 0.004089684 0.003912264 0.0037468725 0.004142309 0.004279133 0.0038461075 0.0037017658 0.0012644944 0.0018238188 0.0014479287 0.0011547344 0.0016960162 0.0036747018 0.0011863091 0.0012765228 0.04250565 0.0065419916 0.000872065 0.0008434974 0.010143018 0.0011036134 0.001282537 0.00096378225 0.024132146 0.000896122 0.0012254018 0.012043519 0.0015005533 0.001132181 0.0009773143 0.0011667629 0.009287492 0.002264362 0.0007292268 0.00075178023 0.0016163274 0.00086905796 0.0009788178 0.00073975173 0.00085702946 0.0018117903 0.0011066205 0.0012359266 0.001956132 0.0028176722 0.0011878128 0.0011742807 0.04110734 0.0016569236 0.019878572 0.0008013977 0.002347058 0.0011427059 0.0016373773 0.0018147974 0.0012193875 0.0011878128 0.0022357944 0.0018117903 0.0030161422 0.0036882337 0.00075929804 0.0011712735 0.00091867545 0.0018358473 0.00072321255 0.0006375096 0.00089161133 0.0009818249 0.0015140853 0.0006946449 0.0013381687 0.0009171719 0.00085702946 0.03390078 0.0012329195 0.003868661 0.00079688703 0.00062848825 0.0012389338 0.0014238717 0.0011472167 0.015491183 0.00073824817 0.016166281 0.0008239511 0.00065705593 0.0012254018 0.0008059084 0.0007908728 0.0006074384 0.0025906346 0.0012720121 0.00082545466 0.000622474 0.00085402234 0.0012990762 0.00067810575 0.0006104455 0.0008434974 0.00075478735 0.0007141912 0.0008149298 0.0008480081 0.0063976496 0.0006961485 0.0019426001 0.0008465045 0.00087958283 0.0008434974 0.0006059349 0.0011006063 0.0009788178 0.00075178023 0.0006014242 0.0006991556 0.00097581075 0.0007953835 0.0005893957 0.00075929804 0.00066607725 0.00070516986 0.000646531 0.00070216274 0.00091115764 0.0007893692 0.00054579246 0.0009773143 0.0012885513 0.0007292268 0.00075929804 0.0008510152 0.0018238188 0.0015922704 0.0005818779 0.0041122376 0.0012735156 0.0008525188 0.0013592186 0.032794155 0.00076831935 0.0007141912 0.0013607222 0.0009156683 0.0011141383 0.00079989416 0.00059540995 0.0008886042 0.0007442624 0.00073073036 0.00062397757 0.00094724307 0.0009307039 0.0010299389 0.0006104455 0.00079688703 0.00080891553 0.0007668158 0.00059089926 0.013622258 0.000834476 0.0010885778 0.0010013713 0.0006675808 0.0008104191 0.000834476 0.0006074384 0.021407694 0.0022312836 0.0021906875 0.0021094952 0.0021335522 0.0019952247 0.0024282502 0.0013712471 0.051480405 0.0014013184 0.0013532044 0.0010043783 0.0010991027 0.00069765205 0.0010870742 0.0028297007 0.011494719 0.0006179633 0.00424004 0.0009096541 0.0015005533 0.002446293 0.0026312307 0.0015832492 0.002267369 0.00059089926 0.0008104191 0.0012223946 0.0008675544 0.0007171983 0.0016073061 0.029047284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0036899897 3.1647858e-05 0.000103985825 3.767602e-05 0.00014316889 7.836612e-05 0.0002177674 0.0001032323 5.8774596e-05 1.3563368e-05 1.0549286e-05 1.4316888e-05 1.733097e-05 3.69225e-05 1.2056327e-05 6.0281636e-05 0.0010398582 8.2887245e-06 6.2542196e-05 5.274643e-06 3.466194e-05 3.0140818e-05 0.00022228854 0.000113781585 6.781684e-06 7.5352045e-07 1.5070409e-06 7.5352045e-07 2.2605614e-06 0.0 7.5352045e-07 1.3563368e-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 0.0018310547 1.1302806e-05 0.000112274545 0.00012056327 0.00019290124 7.00774e-05 0.00044005594 0.0002320843 3.842954e-05 3.0140818e-06 2.2605614e-06 4.5211227e-06 5.274643e-06 3.7676023e-06 1.1302806e-05 7.5352045e-06 0.0049506295 0.00012809847 0.0011619285 0.0009938935 0.0019041462 0.0008243514 0.0061713327 0.0032145183 0.00023660543 6.5556276e-05 4.5211227e-06 4.671827e-05 2.1098573e-05 3.2401378e-05 0.000104739345 0.00020118996 0.008202824 0.00028483072 0.0025031948 0.000846957 0.0019079138 0.0006668656 0.004637165 0.0013864776 0.00023509839 0.0008786048 0.00016049985 0.00016728154 0.00018838012 0.00016049985 0.0015138226 0.0009509428 0.009306731 0.0031150535 0.0036824543 0.04931113 0.004424672 0.003815074 0.004155665 0.0035837432 0.0036304614 0.0031828703 0.0032265745 0.003008807 0.0032974056 0.003189652 0.0038158277 0.0032785675 0.079116635 0.0037615742 0.0030849127 0.003720884 0.021314079 0.017322682 0.020307377 0.00390625 0.021198038 0.0020842375 0.004519616 0.0021377376 0.011769236 0.006382318 0.026041666 0.017159922 0.1642765 0.010278019 0.00892545 0.011638124 0.044554155 0.035581235 0.044386875 0.009513949 0.05231165 0.0082631055 0.010638955 0.00848238 0.031150535 0.015284409 0.063732006 0.038081415 0.0073581273 0.0014497733 0.0021844557 0.0023291316 0.003445849 0.0020247095 0.002136984 0.0012561185 0.0036764264 0.0008190767 0.0010104709 0.00047019677 0.0032883633 0.0008951823 0.001786597 0.0029055749 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3591.0 11.758285 42224.0 0.024748959 0.0035761653 0.0029604016 0.0032446003 0.0062997346 0.0026288368 0.0030551346 0.0038129974 0.0032682833 0.0033630163 0.0027235695 0.0024156878 0.0034103827 0.0030551346 0.0144467605 0.005210307 0.025151573 0.023517432 0.03109606 0.03014873 0.023777947 0.023138499 0.024677908 0.023493748 0.024085827 0.0265252 0.0229964 0.022949034 0.024417393 0.023683213 0.023043767 0.02410951 0.0030077682 0.011296893 0.0055892384 0.009118037 0.01053903 0.009473286 0.005328723 0.0069628647 0.0032446003 0.0067023495 0.0028419856 0.00331565 0.010207465 0.0067260326 0.007104964 0.0062997346 0.0073891627 0.0025814702 0.0064892005 0.010089049 0.0073891627 0.0049497914 0.0035287987 0.0049261083 0.0029130352 0.0026762031 0.00331565 0.0034103827 0.004262978 0.004334028 0.0025341038 0.003197234 0.0024630541 0.018307123 0.0071523306 0.011438992 0.018993936 0.032990716 0.0058260704 0.008644373 0.009189087 0.015323039 0.0071760137 0.0041682455 0.025814703 0.0070339143 0.013902046 0.01797556 0.0069628647 0.0037182644 0.021054376 0.0197518 0.02292535 0.01127321 0.003789314 0.008170709 0.0043813945 0.004428761 0.0029130352 0.0024156878 0.0026998862 0.0022499054 0.006891815 0.003197234 6.1274233 1.0 13.0 0.0 1.0 665088.0 684032.0 0.0 1.0 32.0 1.0 1.0 0.0 0.0 0.0 1261062900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 10.0 4.0 0.0 4.0 0.0 571392.0 1024.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -64000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -571392.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.838959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9568424 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0847807 0.0 0.0 0.0 0.0 0.0 4.030711 0.0 0.0 -5.944096 0.0 3.8520243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63626.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 858.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22448.0 0.0 0.0 0.0 0.0 0.0 78.0 0.0 0.0 -571264.0 0.0 6320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78.0 606208.0 80.0 577692.0 6320.0 610304.0 0.0 0.0 0.0 0.0 63356.0 618496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 577536.0 0.0 0.0 0.0 0.0


Input: 0.010624676 0.0040764394 0.0038252075 0.0039467714 0.004068335 0.0040116054 0.0039305626 0.003687435 0.0036955394 0.003808999 0.004116961 0.003873833 0.0039872928 0.0040278137 0.004003501 0.0038900415 0.0039629797 0.0034443075 0.00401971 0.0036955394 0.003776582 0.0035739755 0.004035918 0.003557767 0.0036712266 0.0039143544 0.0036307054 0.003428099 0.0039872928 0.004052127 0.0040278137 0.0039791884 0.0041574817 0.0039629797 0.0039872928 0.00401971 0.0036307054 0.003938667 0.00401971 0.0039224587 0.0038333116 0.00390625 0.0041736905 0.004100752 0.004116961 0.0037036436 0.0039224587 0.0039953967 0.004198003 0.0037927905 0.0036631224 0.0038819371 0.004116961 0.0040764394 0.0042547327 0.003784686 0.0039872928 0.0036955394 0.0040440224 0.003719852 0.003841416 0.0037603735 0.003719852 0.0039872928 0.0037927905 0.003719852 0.0039953967 0.0038819371 0.0039143544 0.0035982884 0.0039467714 0.0038576245 0.0038981456 0.0036712266 0.0036712266 0.0037036436 0.0039548757 0.003808999 0.0034199948 0.003841416 0.003744165 0.003711748 0.0037684776 0.0034443075 0.0039224587 0.003808999 0.0040602307 0.00390625 0.0040278137 0.0038252075 0.003719852 0.0040926477 0.0041412734 0.003719852 0.0037603735 0.004052127 0.0037684776 0.0037360606 0.003776582 0.003808999 0.003557767 0.0041736905 0.00384952 0.0036712266 0.003622601 0.00390625 0.0037684776 0.003646914 0.003752269 0.0041250647 0.0033551608 0.003971084 0.0038576245 0.0041088564 0.0035982884 0.004068335 0.0039467714 0.003971084 0.003460516 0.0038252075 0.003719852 0.0039548757 0.004084544 0.004133169 0.004052127 0.0039305626 0.0038252075 0.003841416 0.0035739755 0.0041250647 0.003655018 0.0039953967 0.0041250647 0.0038657286 0.0037036436 0.00390625 0.003622601 0.0038008946 0.003784686 0.004246629 0.003938667 0.00390625 0.0039548757 0.0041088564 0.00401971 0.0037684776 0.0042547327 0.0038008946 0.0039548757 0.0041574817 0.0040116054 0.0037927905 0.0039791884 0.0039791884 0.0041412734 0.0036063925 0.0039872928 0.0037036436 0.003873833 0.0036631224 0.0033713693 0.00401971 0.004084544 0.0036712266 0.003841416 0.0038819371 0.0038657286 0.003687435 0.003776582 0.004084544 0.004084544 0.003776582 0.003744165 0.0040926477 0.00390625 0.0040278137 0.00390625 0.0039953967 0.0039224587 0.0038657286 0.003938667 0.003622601 0.0040278137 0.004327671 0.0035010374 0.0037360606 0.0039548757 0.0035982884 0.00384952 0.0036955394 0.003711748 0.0040602307 0.0038819371 0.0041736905 0.003655018 0.004035918 0.003938667 0.00401971 0.0036307054 0.0036631224 0.0038008946 0.0039143544 0.004408714 0.0039548757 0.0038900415 0.004149378 0.0039467714 0.003938667 0.004198003 0.0038819371 0.00390625 0.003557767 0.0040116054 0.0036955394 0.004003501 0.0038981456 0.0035010374 0.0039953967 0.0040278137 0.004003501 0.00390625 0.0039305626 0.0037684776 0.0039224587 0.003817103 0.0039629797 0.0041412734 0.0037927905 0.0040764394 0.003622601 0.004133169 0.0040926477 0.0037684776 0.0037927905 0.0039467714 0.0042709415 0.0038576245 0.003719852 0.0040764394 0.004214212 0.0039791884 0.003776582 0.004035918 0.0039548757 0.004035918 0.0038252075 0.0039224587 0.003971084 0.0035739755 0.00352535 0.0038657286 0.0039629797 0.003557767 0.0038657286 0.003817103 0.0036955394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003947282 0.0002995339 0.00028722428 0.0003200499 0.00033646272 0.00028312107 0.00039801077 0.00035697874 0.00025029544 0.00034466913 0.0002133666 0.00028312107 0.00026260506 0.0003077403 0.00026260506 0.00025029544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062471278 0.060612526 0.063291915 0.062454864 0.060583804 0.061593194 0.060136553 0.062278427 0.062311254 0.06259027 0.06195017 0.061601397 0.06293494 0.06213892 0.06327961 0.061367515 562.0 5.6352315 3167.0 0.015156299 0.011367224 0.011051469 0.011051469 0.009472687 0.011998737 0.008525418 0.011367224 0.011367224 0.011998737 0.011051469 0.009156931 0.011998737 0.0104199555 0.009156931 0.0082096625 0.0104199555 0.008841175 0.008525418 0.011682981 0.009788443 0.0104199555 0.009156931 0.007893906 0.009788443 0.009472687 0.009788443 0.011051469 0.009156931 0.008525418 0.0101042 0.010735712 0.01420903 0.009472687 0.011682981 0.0082096625 0.0132617615 0.0082096625 0.009472687 0.012630249 0.011998737 0.008525418 0.008525418 0.011051469 0.011367224 0.012314493 0.009472687 0.009788443 0.0082096625 0.011367224 0.011051469 0.008841175 0.0072623934 0.009472687 0.015472055 0.011682981 0.009472687 0.009472687 0.0104199555 0.011998737 0.0075781494 0.011998737 0.010735712 0.009788443 0.008525418 0.011367224 0.008525418 0.010735712 0.0104199555 0.009472687 0.007893906 0.009156931 0.0101042 0.010735712 0.011682981 0.009788443 0.013577518 0.011998737 0.009156931 0.011998737 0.0104199555 0.010735712 0.010735712 0.0104199555 0.011367224 0.009472687 0.0104199555 0.0075781494 0.0101042 0.012946006 0.012946006 0.011998737 0.0104199555 0.0101042 0.012946006 0.008525418 6.567273 0.0 0.0 0.0 3.0 123392.0 131072.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 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 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.489108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9983053 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.25972214 0.020286405 0.014466568 0.007618769 0.014059337 0.0040802127 0.009259552 0.002494781 0.0040288144 0.0024710589 0.018376771 0.0025422254 0.0021152266 0.0008856275 0.004776063 0.0017791624 0.00105959 0.0043886006 0.0035148342 0.002909919 0.0020756896 0.0023603556 0.0040920735 0.002186393 0.003712519 0.0010556364 0.00086981273 0.0016210147 0.0024157073 0.0006246837 0.0007709704 0.00081446103 0.0016803201 0.00075120194 0.00036769357 0.00078678515 0.0009251645 0.0005258414 0.0009172571 0.0018028846 0.012260406 0.00310365 0.0059661246 0.0038983426 0.003451575 0.0021073192 0.005432376 0.0093109505 0.002716188 0.0005772394 0.0004704896 0.0020282452 0.002316865 0.0005811931 0.00044281376 0.0005218877 0.0004823507 0.0005811931 0.0010516827 0.0029652708 0.00045072116 0.0009884236 0.0010081921 0.0009449329 0.0012256452 0.006294281 0.0028624746 0.006155902 0.001656598 0.0023089575 0.0019056806 0.00442023 0.0028229377 0.008393693 0.00065235957 0.00070771127 0.0067370953 0.0024078 0.0029534097 0.0021943003 0.002692466 0.0005337487 0.0021033655 0.006626392 0.002676651 0.001383793 0.0047681555 0.000956794 0.0032420293 0.00077492406 0.0019966157 0.0009172571 0.00073934085 0.00073143345 0.00044676746 0.014691928 0.00079469255 0.023809148 0.0069110575 0.013833976 0.019175418 0.040529322 0.002767586 0.0054758666 0.0034318066 0.031309307 0.0022061614 0.0020559211 0.01474728 0.0058514676 0.026082521 0.029020116 0.013648153 0.0009844699 0.025398532 0.019052854 0.032455876 0.0078045926 0.008306712 0.0060293837 0.0018305605 0.0049579325 0.0005772394 0.0021429022 0.000284666 0.0012137842 0.006013569 0.00029652708 0.0038113613 0.0026410678 0.00023722165 0.00033211033 0.0011465714 0.0005337487 0.0006958502 0.0006444522 0.00032815663 0.00033211033 0.0002688512 0.0005337487 0.00039141573 0.0006325911 0.001810792 0.00030443448 0.00035187879 0.00310365 0.0005535172 0.00038746203 0.0005218877 0.00046653594 0.00080655364 0.00033606403 0.00035187879 0.00037955467 0.0004942118 0.0031748165 0.00039932312 0.0002925734 0.00035978618 0.0017000886 0.0009884236 0.00065631326 0.0005653783 0.00033211033 0.0005337487 0.0002767586 0.0002728049 0.00037560097 0.00032815663 0.00046258225 0.000529795 0.00033211033 0.0004151379 0.00035978618 0.0004902581 0.0016368295 0.00043490637 0.0006167763 0.0004190916 0.00025699014 0.00036373988 0.00029652708 0.00036769357 0.00024512905 0.0002055921 0.00019768471 0.00024512905 0.00030048078 0.00033606403 0.0002728049 0.00012651822 0.00017791624 0.00036769357 0.00022140688 0.0002134995 0.00018186994 0.00068003545 0.00030838815 0.0013363487 0.0002055921 0.00021745318 0.00019768471 0.00017791624 0.00022536058 0.00022536058 0.0002134995 0.0001383793 0.0014668206 0.00045862855 0.00022140688 0.00023326797 0.0005021192 0.00022931428 0.00036769357 0.0001344256 0.00032815663 0.0002648975 0.0012295989 0.0002095458 0.0002134995 0.00030048078 0.00023722165 0.0004151379 0.00032815663 0.0019096343 0.00024117535 0.00011861083 0.0005100266 0.00024117535 0.00025303644 0.00070375757 0.00025699014 0.0002055921 0.00020163841 0.0002055921 0.00022931428 0.00021745318 0.00018977733 0.00016605516 0.00016210147 0.00017000886 0.0002925734 0.00015814777 0.00019373102 0.00022931428 0.00016210147 0.00015814777 0.00022536058 0.00024117535 0.00020163841 0.0002095458 0.00031629554 0.00016210147 0.00033211033 0.0043292954 0.00018186994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003241314 1.3894182e-05 6.153138e-05 5.557673e-05 8.336509e-05 4.5652312e-05 0.00037712778 0.00016673018 3.969766e-06 0.0 1.984883e-06 3.969766e-06 0.0 3.969766e-06 1.984883e-06 3.969766e-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 0.0004128557 0.0 0.0 3.969766e-06 0.00093487994 0.00046247776 0.004533473 0.0017824251 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03477118 0.0008098323 0.0013437659 0.0015561484 0.01791357 0.01874325 0.08766435 0.039610326 0.0003413999 0.0017824251 0.0015164507 0.0005140847 0.00019451855 0.00025208015 7.939532e-05 0.0002242918 0.15929878 0.009295207 0.019229548 0.0047776136 0.010708445 0.006248412 0.051733993 0.03409831 0.0030329013 0.0008197567 0.00044461383 0.00024017086 0.00020642785 0.0014330857 0.0011095497 0.0022012354 0.096211255 0.013731422 0.021613393 0.00552393 0.011208635 0.007846243 0.046857137 0.03327458 0.0047160825 0.0016593623 0.0012306275 0.0009964113 0.00095075904 0.0018042588 0.0014866774 0.002921748 0.016976705 0.0052539855 0.006204745 0.0021218401 0.008003049 0.005484232 0.03154972 0.017574156 0.0017447122 0.00070264866 0.00058355567 0.00033346037 0.00030170224 0.0002123825 0.0002699441 0.00024414062 0.05011433 0.004364758 0.0034358327 0.0031976467 0.003550956 0.005551718 0.0049562533 0.004057101 0.003979691 0.0063813995 0.0035886688 0.0023143736 0.004309181 0.0017367727 0.002411633 0.0017407425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005130923 0.00093487994 0.0013497205 0.00068676955 0.0011254287 0.0008296812 0.0009051067 0.00067486026 0.0006252382 0.0016573775 0.00092297065 0.00038109755 0.00031361153 0.00018459413 0.000339415 0.00019848831 0.00084953 0.00010519881 0.00012306275 0.0002481104 0.00034536966 0.00024017086 0.00026200459 0.00019848831 0.00024215574 0.00072646723 0.00028979292 8.931974e-05 0.00012306275 5.3591844e-05 0.00012703252 4.1682546e-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 2576.0 32.11258 82722.0 0.0010758927 8.462078e-05 8.462078e-05 0.00010879814 0.000531902 0.00014506419 8.462078e-05 0.00016924155 0.0030947027 0.0030947027 0.00014506419 7.253209e-05 0.0009066512 0.00014506419 0.009537971 0.012402988 0.0002780397 0.00029012837 0.00039892652 0.00024177365 0.003807935 0.00016924155 0.0001329755 0.0004110152 0.00015715287 0.0001329755 0.00087038515 0.00357825 0.00019341892 7.253209e-05 0.00021759629 1.20886825e-05 7.253209e-05 0.01285027 0.0021880516 0.011955707 0.0028045743 0.00431566 0.0034694518 0.010601775 0.007313653 0.018882522 0.00044728126 0.000265951 0.014059138 0.004376103 0.0053915526 0.0042189504 0.0051135127 0.00010879814 0.0038925558 0.016658204 0.004533256 0.0011967795 0.009828099 0.00039892652 0.0011121588 0.000265951 0.002321027 0.00025386232 2.4177365e-05 8.462078e-05 2.4177365e-05 0.042878557 0.00031430574 0.055305723 0.01440971 0.031454753 0.04605788 0.10038442 0.0047024977 0.0117502 0.007458717 0.06917144 0.0037112255 0.003844201 0.035081357 0.012342545 0.063888684 0.053625397 0.02330698 0.0016319721 0.054979328 0.03423515 0.076956555 0.017540678 0.017601121 0.01285027 0.0029979933 0.009054423 0.0007011436 3.6266047e-05 0.0 3.6266047e-05 1.20886825e-05 0.0 4.9915776 0.0 0.0 0.0 1.0 252928.0 278528.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751100.0 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 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 250368.0 512.0 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 -250368.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6603484 0.0 3.1886396 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 -250180.0 0.0 1080.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 258284.0 1080.0 262144.0 0.0 0.0 0.0 0.0 12.0 270336.0 0.0 0.0 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: 0.18250537 0.008500349 0.016530037 0.034257416 0.025976881 0.033080764 0.029656831 0.043774083 0.040738057 0.016157646 0.028614653 0.011546717 0.023033954 0.0016421423 0.00051203807 0.0009878714 0.0040937187 0.00033360056 0.00050169387 0.00042411234 0.0021128035 0.0006853035 0.0024670926 0.0005999638 0.0007034058 0.00028705163 0.0003154982 0.00028187953 0.0007758153 0.001980915 0.00028705163 0.0001784375 0.0011275181 0.00014223279 0.00037497736 0.00045514494 0.001375779 0.0008249502 0.0020119476 0.00021464222 0.00052238227 0.00026636323 0.0003853216 0.0006801314 0.0004266984 0.00026636323 0.00051721017 0.0019214358 0.0015387003 0.00038014946 0.0003723913 0.0009878714 0.00047841942 0.0003853216 0.0003904937 0.00023274457 0.0007965037 0.0006930616 0.0019059195 0.0007318524 0.000457731 0.00048100547 0.00023274457 0.0003206703 0.0032325636 0.0011482065 0.00044480074 0.0004887636 0.0031213635 0.003979932 0.0028239675 0.0007370245 0.000610308 0.0005249683 0.00026119113 0.00021722827 0.00030774006 0.0027567302 0.0006309964 0.00034394476 0.002342962 0.0007990897 0.0003517029 0.001577491 0.0004163542 0.0008171921 0.0016990354 0.0017481704 0.0010214901 0.0018024774 0.0009801133 0.0013654348 0.001373193 0.0018671287 0.002348134 0.0019757429 0.0015231839 0.002751558 0.0020688407 0.0024800228 0.0021205617 0.0030179212 0.0015180118 0.0016395563 0.0019731568 0.0028627582 0.0028601722 0.0013576767 0.0018412682 0.0016033516 0.0021748687 0.0019576405 0.00193178 0.0014404303 0.0025239857 0.0027825907 0.00407303 0.004525589 0.001727482 0.0016369702 0.0014404303 0.0013861232 0.0011378623 0.0017507564 0.0018128216 0.001781789 0.0021257338 0.0012956115 0.0016680028 0.0010990716 0.0018645426 0.0037885646 0.0017740309 0.0015516306 0.0011068297 0.0011094158 0.0014352582 0.0033489359 0.0012878533 0.008420181 0.0010835553 0.0045074867 0.000964597 0.0010240761 0.001321472 0.0009904575 0.0010602808 0.0011068297 0.001171481 0.0010783832 0.0022576223 0.0011611368 0.0012257881 0.0010137319 0.0010085598 0.0010370064 0.001220616 0.0009749412 0.0010033877 0.0010137319 0.0012232021 0.0014430163 0.0015412864 0.0011533786 0.0011663089 0.0015438724 0.0010887274 0.0010370064 0.0014404303 0.0011068297 0.0012826812 0.001267165 0.0015231839 0.0014068116 0.0014481884 0.0013525046 0.001678347 0.0014275 0.0014921513 0.0011559647 0.0011999276 0.0010525227 0.001171481 0.0010990716 0.0018697147 0.0009982156 0.0010990716 0.0010421785 0.0011171739 0.0009878714 0.001070625 0.0009878714 0.0030644701 0.0013912953 0.0019421242 0.0018619566 0.001626626 0.0009128759 0.00223952 0.0016602447 0.0014688768 0.0013395743 0.0010318343 0.0010033877 0.0020765988 0.0009801133 0.0015180118 0.0012335463 0.0014662908 0.0009542528 0.0009904575 0.0009206341 0.0012464765 0.0007809874 0.0008559828 0.0008404665 0.0010809692 0.0008482247 0.0007551268 0.00097235513 0.0008714991 0.0007602989 0.0008378805 0.0008585689 0.0014352582 0.0006490988 0.000765471 0.0007163361 0.0009956296 0.0007240942 0.0007861595 0.0007861595 0.0064237504 0.000918048 0.0007602989 0.0016007655 0.0016343842 0.0007163361 0.0008689131 0.0013628488 0.0018179937 0.0014171558 0.00081202 0.0008301223 0.0009361504 0.0007163361 0.0009801133 0.0008585689 0.0011352763 0.000659443 0.0005508288 0.00045514494 0.0023714085 0.00031808426 0.00056893117 0.1822028 0.047774944 5.7139296e-05 0.0 0.0 5.194481e-06 3.895861e-06 2.0777925e-05 9.090342e-06 0.0 0.0 0.0 0.0 1.2986203e-06 0.0 0.0 0.0 0.010055217 0.00028309925 2.5972406e-06 1.2986203e-06 0.0 0.0 1.2986203e-06 0.0 3.895861e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00029089095 0.0071034534 0.00044932263 6.622964e-05 5.1944815e-05 0.00013635514 2.4673787e-05 9.090342e-06 3.895861e-06 4.9347575e-05 6.493102e-06 1.2986204e-05 6.493102e-06 1.16875835e-05 5.194481e-06 2.5972407e-05 1.5583444e-05 0.015418519 0.0016661299 0.00069476187 0.00011427859 8.181308e-05 6.233378e-05 8.441032e-05 6.882688e-05 7.531998e-05 6.622964e-05 4.8048954e-05 4.8048954e-05 4.545171e-05 4.285447e-05 4.6750334e-05 5.3243435e-05 0.022762217 0.00067268533 0.00089734665 0.0007207343 0.00072463014 0.001344072 0.00071164395 0.001036299 9.999377e-05 2.9868268e-05 1.8180684e-05 2.0777925e-05 2.8569648e-05 1.8180684e-05 2.5972407e-05 0.00014414686 0.008204684 0.00019479306 0.00020128615 0.00011817445 0.00010259101 0.00019609167 0.000383093 0.00050646195 0.00038698886 4.6750334e-05 3.506275e-05 2.8569648e-05 4.285447e-05 4.155585e-05 4.285447e-05 0.00010648687 0.040941603 0.00075709564 0.00034283576 0.00020258478 0.00023764752 0.0043049264 0.01064609 0.0006713867 0.00032075922 1.4284824e-05 5.3243435e-05 0.00011427859 0.00017401512 9.999377e-05 0.00018829995 0.01539904 0.118562736 0.0014960107 0.0011103204 0.0006064557 0.0011349942 0.0035595184 0.009291628 0.012473249 0.004343885 0.00028699508 0.0024946497 0.0034426425 0.0035075736 0.0035997755 0.004842555 0.060629986 0.17171007 0.002623213 0.0018622216 0.0011843417 0.0031504529 0.00057788607 0.0018323533 0.004921771 0.009137093 0.013747195 0.014718563 0.012118725 0.0107694585 0.0073631774 0.0057931454 0.09487331 0.008959182 0.00028829373 0.00015583444 0.00019089719 0.00020907787 0.00013895238 0.00012077169 0.00034673163 0.000803846 0.0009427984 0.00048828125 0.00036101646 0.0004272461 0.0003012799 0.0003324468 0.0045503657 0.01603017 0.0005869764 0.0009869515 0.0011622652 0.0021816823 0.001149279 0.0033114818 0.0032257729 0.00072463014 0.000998639 0.0007025536 0.0005428233 0.0010804521 0.00044412815 0.0004713992 0.0036348384 0.0037893741 0.00030257853 0.00048178816 0.00034932888 0.00097266666 0.0005311357 0.0010518825 0.0009194232 0.0005661985 0.000550615 7.142412e-05 6.752826e-05 0.0002480365 9.479929e-05 0.0002675158 0.00037400267 0.0021440221 0.00012856342 0.00028959234 0.00017661236 0.00041815575 0.00018180684 0.00022855718 0.00019998754 0.00027790476 0.0002298558 7.66186e-05 5.7139296e-05 0.0002818006 7.142412e-05 0.00014284824 0.00041425988 0.007722895 0.0016557409 0.0013609541 0.001570032 0.004147793 0.0028115131 0.001570032 0.002558282 0.005773666 0.0004921771 0.00029218956 0.00052204536 0.0022349255 0.0005636012 0.0022154462 0.004402323 0.016926218 0.004726978 0.0028439786 0.0036763942 0.008034564 0.0075203106 0.004264669 0.006358045 0.013406957 0.0012064183 0.0019855904 0.0020881814 0.006465831 0.002373878 0.0067541245 0.012431692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 602.0 16.696012 10051.0 0.014724903 0.0008954333 0.0054720924 0.006268033 0.012038603 0.008158392 0.001691374 0.0022883294 0.0017908666 0.0008954333 0.0046761516 0.005870063 0.0061685406 0.0054720924 0.013133022 0.0051736147 0.020594966 0.0068649887 0.0061685406 0.005870063 0.0046761516 0.0023878221 0.0032832555 0.0009949259 0.0063675256 0.0026862998 0.002885285 0.0032832555 0.0032832555 0.0029847776 0.0030842703 0.008755348 0.02308228 0.017510695 0.006964481 0.006566511 0.081384934 0.008158392 0.00577057 0.013928962 0.0025868074 0.009650781 0.0036812257 0.0036812257 0.0019898517 0.005969555 0.0066660033 0.0068649887 0.009053825 0.0046761516 0.0035817332 0.009451796 0.005969555 0.0020893444 0.0071634664 0.0014923888 0.0071634664 0.0035817332 0.0032832555 0.0009949259 0.010546214 0.003880211 0.0004974629 0.013729977 0.0030842703 0.031837627 0.010645707 0.027061984 0.022783803 0.04228435 0.005074122 0.01571983 0.010546214 0.03502139 0.0010944185 0.0026862998 0.020992937 0.013033529 0.031837627 0.024773654 0.01960004 0.0011939111 0.039001096 0.029748283 0.042980798 0.009252811 0.004576659 0.014028455 0.005870063 0.008655855 0.002188837 9.949259e-05 0.017411202 0.00029847777 0.033031538 0.0030842703 5.8695927 0.0 13.0 0.0 4.0 386690.0 2510848.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1159316500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1784832.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -150016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784832.0 0.0 69120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4881573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 361017.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -279740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1784481.0 0.0 69024.0 0.0 0.0 0.0 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 2053.0 2148832.0 300.0 2140052.0 69024.0 2441216.0 0.0 0.0 5776.0 2366464.0 0.0 0.0 28.0 1804832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1588.0 1789952.0 64.0 2139916.0 0.0 0.0


Input: 0.33833677 0.008556075 0.0041342797 0.0042135944 0.002944559 0.0023794416 0.0019927823 0.0022108979 0.0027859295 0.001953125 0.0033014752 0.0021216688 0.002508328 0.0023100413 0.005095971 0.0033609613 0.0030635311 0.0027165292 0.0026273 0.0029346447 0.009309566 0.005274429 0.0035195907 0.0027264436 0.002736358 0.0025678142 0.0025678142 0.0023992702 0.00390625 0.004639911 0.009646653 0.003440276 0.02231718 0.0025975571 0.0025975571 0.001834153 0.0019134677 0.003926079 0.0013582646 0.0015763801 0.0018143243 0.001953125 0.0015565514 0.0016656092 0.002181155 0.0017151808 0.0036583915 0.0026669574 0.0017250952 0.0025975571 0.0017548382 0.0025182425 0.00367822 0.0029544733 0.0017647526 0.0014970653 0.001606123 0.0017350095 0.0019233819 0.0022009835 0.0020820114 0.0034303616 0.0055817734 0.0019432106 0.0033609613 0.0059585185 0.0020126111 0.0034006187 0.002944559 0.0049175126 0.0021414976 0.002270384 0.0015862944 0.0020026967 0.0018539816 0.0021315832 0.0021712405 0.002538071 0.0031825032 0.002181155 0.0022802982 0.0018539816 0.00338079 0.0029643876 0.00285533 0.0031527602 0.0015664657 0.002389356 0.0015168941 0.0015069797 0.001893639 0.002042354 0.0021613261 0.0019332963 0.0027264436 0.0017052665 0.002389356 0.0047687977 0.0018738103 0.0035195907 0.0036187342 0.009854854 0.00285533 0.0026669574 0.0028751586 0.0052347714 0.0022009835 0.0021712405 0.004104537 0.0034997622 0.0051951143 0.0052546 0.0029941306 0.0012194639 0.005165371 0.0059386897 0.006731837 0.004669654 0.0022802982 0.0023496987 0.0020324397 0.0021216688 0.0011104061 0.0018242386 0.0015268084 0.0017845812 0.0018044099 0.0010905775 0.0020820114 0.0012789499 0.00105092 0.0024984137 0.0011203204 0.0020919258 0.0010410057 0.00105092 0.0011599777 0.0033113896 0.0014474937 0.006295606 0.001427665 0.002647129 0.0019729538 0.0015565514 0.0014970653 0.0013880077 0.001368179 0.0020919258 0.0023596128 0.004084708 0.0020225253 0.0022802982 0.0012591212 0.0012293782 0.0015763801 0.0018143243 0.001427665 0.0023496987 0.0013780933 0.0015763801 0.0013483502 0.0012194639 0.0008625476 0.0011401491 0.0009418623 0.0006444321 0.0007435755 0.0007634042 0.0017052665 0.0008625476 0.0009815197 0.0011203204 0.0012591212 0.0010707488 0.0019233819 0.0011599777 0.0010806631 0.0009418623 0.0010013484 0.0011897208 0.001487151 0.0011500635 0.0011798064 0.001021177 0.0009716053 0.0009220336 0.0011599777 0.0013384359 0.0012095495 0.0012690355 0.0014375793 0.00095177663 0.001982868 0.0015962088 0.0013186072 0.001487151 0.0015565514 0.0012987786 0.0016457804 0.0016259517 0.0014970653 0.0013285215 0.0013880077 0.0012492068 0.0034799334 0.0013285215 0.0047192257 0.0015367228 0.0017052665 0.0021712405 0.0021216688 0.0015962088 0.0022406408 0.00210184 0.0016160375 0.0017350095 0.002389356 0.0017250952 0.0017151808 0.0013979219 0.001893639 0.0015664657 0.0022902125 0.0018440672 0.0047886265 0.003202332 0.0023496987 0.001606123 0.002647129 0.0024686707 0.0024091846 0.001953125 0.0030437023 0.0028751586 0.0028454156 0.0026768718 0.0046993974 0.0038368497 0.010985089 0.0045903395 0.0022406408 0.0029247303 0.0029544733 0.0019432106 0.004164023 0.0037674492 0.0027561865 0.0018638959 0.0022208123 0.0024290134 0.0023397843 0.0022009835 0.0035493337 0.003202332 0.0037773636 0.009825111 0.19581085 5.033827e-06 1.5101482e-05 1.0067654e-05 0.0 5.033827e-06 5.033827e-06 0.0 0.0 0.0 5.033827e-06 0.0 0.0 1.0067654e-05 0.0 1.0067654e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016052876 6.543975e-05 0.00055875484 0.00087588595 0.0015302835 8.557506e-05 0.00027182666 0.00013591333 7.047358e-05 5.53721e-05 8.0541235e-05 7.047358e-05 7.550741e-05 9.060889e-05 8.557506e-05 0.00051345036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.032151055 1.5101482e-05 0.009453528 0.00040774 0.0011275773 0.0009513934 0.011567735 0.0061714724 1.0067654e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.039243717 0.00015604864 0.008406492 0.0006392961 0.0025471167 0.002416237 0.010888169 0.0059348824 0.000523518 0.00057889015 0.00016108247 0.00010571037 0.0001308795 5.0338273e-05 0.00023658988 0.00014598099 0.0112858405 0.00017618395 0.0003171311 0.0010722053 0.003176345 0.0016108247 0.007606113 0.0040673325 0.00030706346 0.00014598099 0.00021645457 0.00017115012 0.000261759 0.00018625161 0.00020135309 0.00012584568 0.008200104 7.047358e-05 0.00087588595 0.0001107442 0.0018172116 0.00078024325 0.003528713 0.0017970763 0.00020135309 0.00012584568 0.0003876047 0.00017115012 0.00029196197 0.00037250321 0.00057889015 0.0013087951 0.018539585 0.0010319346 0.0011024082 0.00061916077 0.0025169137 0.0011678479 0.0012181862 0.0014245731 0.0015302835 0.0011728818 0.0009513934 0.0012030847 0.0026981314 0.0033323937 0.0046512564 0.008386357 0.0018625162 0.0 1.0067654e-05 0.00016108247 0.00028692815 0.00044801063 0.0005184842 0.00080037856 0.00065439753 0.0005386195 0.000729905 0.0011728818 0.0017467381 0.002360865 0.0037300661 0.005597616 0.0068963435 0.0019027868 0.0006141269 0.0006141269 0.0052351803 0.0016158585 0.001283626 0.0011275773 0.0037854381 0.0010822729 0.0008356153 0.0011879832 0.003030364 0.0019480912 0.0042183474 0.005859375 0.006649686 0.007530606 0.004354261 0.0047317976 0.0026377256 0.002099106 0.0014950467 0.0015504188 0.0019933956 0.0018272793 0.0014094716 0.0014547762 0.0020336662 0.0018876853 0.0062268446 0.0036646263 0.046291076 0.0540331 0.0295536 0.030313708 0.024353657 0.025103698 0.022863643 0.021413902 0.0234375 0.024630517 0.0132389655 0.013027545 0.01918895 0.020306459 0.037909754 0.027323615 327.0 10.0 3270.0 0.0094801225 0.003058104 0.0039755353 0.0042813458 0.0012232416 0.0012232416 0.0006116208 0.0033639143 0.0027522936 0.003058104 0.0033639143 0.0033639143 0.0051987767 0.0033639143 0.0073394496 0.0033639143 0.003058104 0.0027522936 0.006116208 0.006116208 0.0051987767 0.0051987767 0.0033639143 0.0009174312 0.0036697248 0.0033639143 0.0039755353 0.0048929662 0.0024464831 0.003058104 0.0039755353 0.0027522936 0.0033639143 0.012232416 0.007033639 0.017125383 0.0091743115 0.011009174 0.0094801225 0.012844036 0.0042813458 0.0088685015 0.0045871558 0.003058104 0.0094801225 0.007951071 0.0036697248 0.005504587 0.007033639 0.0048929662 0.010397553 0.01529052 0.010091743 0.0058103977 0.0045871558 0.017125383 0.0036697248 0.0033639143 0.0036697248 0.0018348624 0.0045871558 0.0033639143 0.0033639143 0.014984709 0.005504587 0.03975535 0.008256881 0.029357798 0.020795107 0.08868501 0.0091743115 0.010703363 0.0088685015 0.03883792 0.0091743115 0.0088685015 0.040672783 0.01620795 0.033639144 0.033639144 0.014984709 0.0051987767 0.045259938 0.03119266 0.057798166 0.013761468 0.006116208 0.011926605 0.012538226 0.0088685015 0.0045871558 0.007951071 0.0045871558 0.0036697248 0.0027522936 0.003058104 5.8537054 0.0 0.0 0.0 3.0 100864.0 110592.0 0.0 0.0 142.0 0.0 1.0 0.0 0.0 0.0 1401284000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 50.0 4.0 0.0 4.0 0.0 53248.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3814698 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.699017 0.0 4.8608565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52756.0 0.0 21240.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 81908.0 21240.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 592.0 82640.0 0.0 0.0 0.0 0.0


Input: 0.05665801 0.008302071 0.0061727245 0.005655139 0.00575141 0.0049626096 0.0042038294 0.005412909 0.005037142 0.0056209783 0.0037462837 0.0044584814 0.004952258 0.0031872913 0.0043259794 0.0046396363 0.005042318 0.0037587057 0.004939836 0.004153106 0.0043559996 0.00317901 0.004108594 0.0038477306 0.0050723376 0.0033415318 0.0031717638 0.0029253932 0.004140684 0.0034522952 0.0037939015 0.0037897609 0.0061654784 0.0038125347 0.003487491 0.003015453 0.0048901476 0.0041748444 0.003856012 0.00372351 0.0047265906 0.003898454 0.0033332505 0.0030972315 0.0043735974 0.0037090175 0.0037317914 0.0035796212 0.00550918 0.0039481423 0.003106548 0.0029036545 0.003686244 0.0030744579 0.0026935148 0.0028591421 0.004161387 0.003323934 0.0035247572 0.0033415318 0.004010252 0.0032162762 0.0035019834 0.0034554007 0.0065971445 0.0039481423 0.0036158522 0.003227663 0.0041572466 0.003221452 0.0035392495 0.0030806689 0.0050091925 0.0037804444 0.0037141934 0.0035889377 0.0041303323 0.0031251812 0.0035475309 0.0034595414 0.0051634326 0.0036241335 0.0036417316 0.0033353209 0.0039264034 0.0033870793 0.0033612002 0.0035464957 0.0046468824 0.0036458722 0.0038114996 0.0035185462 0.004109629 0.0033819035 0.003687279 0.0037897609 0.0059108264 0.0036324149 0.0033415318 0.0029585187 0.0040133577 0.003051684 0.0032732105 0.0030340862 0.0049677854 0.003160377 0.0031903968 0.0030537543 0.0035744454 0.002833263 0.0030858447 0.0032007487 0.004494712 0.0032928789 0.0032235223 0.0031500251 0.0038849968 0.003330145 0.003293914 0.0036262039 0.004618933 0.0032980547 0.0034771394 0.003160377 0.0040413076 0.0031986784 0.0034657524 0.0033436022 0.008646783 0.0045868424 0.0040278505 0.0035216517 0.0043725623 0.0034315917 0.0030268398 0.0034036422 0.00454026 0.0038311677 0.0029678352 0.0031903968 0.0037214397 0.0028001375 0.0028487905 0.0029750813 0.005231754 0.0032038542 0.0034854207 0.0030258046 0.0036676107 0.0031779748 0.0033073712 0.0032711402 0.0045495764 0.0028425795 0.003039262 0.002705937 0.0035154405 0.0032255927 0.002990609 0.0031531309 0.005006087 0.0034067477 0.0032690698 0.0027918562 0.003771128 0.0030133827 0.003051684 0.003191432 0.004140684 0.0030071717 0.0031127592 0.0030226992 0.0036427667 0.0028342982 0.0029222877 0.0030402972 0.004668621 0.003111724 0.003839449 0.0028498257 0.003565129 0.0031510603 0.0029895739 0.0031251812 0.0042535174 0.003142779 0.0033384264 0.0031759045 0.0036645052 0.0031883265 0.0033270395 0.0033580947 0.0067151543 0.004056835 0.0037204043 0.0033436022 0.004116875 0.0032494017 0.0033084063 0.003232839 0.0043332255 0.0033280747 0.0031158647 0.0030827392 0.003644837 0.0029833626 0.003075493 0.0028042782 0.0042493767 0.0032732105 0.0030775634 0.003003031 0.0037048769 0.0030051013 0.0029316042 0.002942991 0.003984373 0.0031024073 0.0027276755 0.0026469321 0.0035413199 0.0029564484 0.0035930783 0.0028798457 0.0049615745 0.0032442259 0.0033901848 0.0029709407 0.0038094292 0.0030703172 0.0031986784 0.0028995138 0.0044398485 0.005443964 0.0034688578 0.0031396735 0.0038011477 0.003075493 0.0032494017 0.0031997135 0.0046147923 0.003312547 0.0034233104 0.0030496137 0.0037452485 0.0030837744 0.0033146176 0.0032349094 0.004351859 0.0030402972 0.0031883265 0.0028767402 0.0040174983 0.0030961963 0.0042297086 0.004513345 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045806174 0.00029234673 0.00027109458 0.00026746615 0.00030271366 0.0002405122 0.0003275942 0.0003021953 0.00033329602 0.00034832803 0.00033018595 0.00035454816 0.0005183453 0.00015705862 0.00018815933 0.0007396787 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099152714 0.062022086 0.06245646 0.05532092 0.060619444 0.059562538 0.054962743 0.054472387 0.060492966 0.053172376 0.05212739 0.052959856 0.056426547 0.050534 0.05665825 0.05385763 4029.0 5.7029037 22977.0 0.017104061 0.010445228 0.009357183 0.008704357 0.013404709 0.012534274 0.011837925 0.011489751 0.012577795 0.009748879 0.008530269 0.008617313 0.013839927 0.010575793 0.011837925 0.009966488 0.016668843 0.011924968 0.008704357 0.0074857464 0.009792401 0.008443226 0.0077903992 0.00831266 0.010314663 0.0083997045 0.009618314 0.008834922 0.011489751 0.008965488 0.009618314 0.009183096 0.018018018 0.0108369235 0.010401706 0.009139574 0.010880446 0.008878443 0.010706359 0.008443226 0.014231623 0.011576794 0.009748879 0.008965488 0.011446229 0.009357183 0.011620316 0.009574792 0.014753885 0.009574792 0.009966488 0.008965488 0.012099056 0.009313662 0.009574792 0.009879445 0.013709362 0.00927014 0.010575793 0.009574792 0.01122862 0.009835923 0.010401706 0.010662837 0.018018018 0.010967489 0.009705357 0.008138574 0.013056534 0.008225617 0.009357183 0.00831266 0.015406711 0.009313662 0.008878443 0.008660834 0.011315663 0.008008008 0.009922966 0.0080515295 0.0131871 0.007964486 0.008704357 0.0087478785 0.011446229 0.009574792 0.008138574 0.007964486 0.010880446 0.008965488 0.012055534 0.008530269 0.011359185 0.008965488 0.01001001 0.008834922 6.5547137 0.0 0.0 0.0 14.0 966024.0 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: 0.12318915 0.008576251 0.009828217 0.0074235583 0.00691983 0.0071698558 0.0040537263 0.0037577397 0.011313665 0.002143603 0.002070066 0.0017005428 0.006331534 0.0031345137 0.001922992 0.0074106893 0.0071992707 0.0015663377 0.0014891239 0.0017005428 0.0045225243 0.0026050475 0.0014468401 0.001147177 0.0040040887 0.0015185387 0.0011122469 0.0013880106 0.0033385789 0.001338373 0.0014045563 0.0014358095 0.004300075 0.0010626094 0.0014523554 0.0013861721 0.016759079 0.0024965806 0.0013677878 0.0011067316 0.0025774713 0.003950774 0.0050740517 0.005621902 0.0024873884 0.0013475652 0.0013328578 0.0012795435 0.004147486 0.002533349 0.002220817 0.0068573235 0.0033349022 0.0048166723 0.002706161 0.002619755 0.0039305515 0.003434177 0.0024506198 0.0050317678 0.0029819247 0.0024322357 0.0023734062 0.0026988073 0.004281691 0.0021325725 0.0017060579 0.0018917389 0.009453179 0.018443076 0.0030113393 0.014143 0.0026124013 0.0013512421 0.0015314077 0.0011765917 0.003888268 0.006125631 0.0014486786 0.001632521 0.007114703 0.002840366 0.0015093465 0.0030039856 0.0025682792 0.004520686 0.0033496094 0.0032981336 0.0020994807 0.004035342 0.0015626609 0.0016858353 0.0039195213 0.0058094217 0.002875296 0.0022189785 0.0028164664 0.0022833233 0.0015773682 0.0018512935 0.0033422557 0.0038128926 0.0027594753 0.0012942508 0.0033459326 0.0015626609 0.0053976146 0.0029469945 0.0023936287 0.0012372597 0.0016490668 0.0019671142 0.0025848248 0.0010883473 0.002737414 0.0022005942 0.008677363 0.00870494 0.0018218787 0.0015939141 0.0022851618 0.0014652243 0.0012280676 0.0015369229 0.0021325725 0.0025517333 0.0017630492 0.0018862236 0.003654788 0.0016086214 0.0012041681 0.009541423 0.0036658186 0.011852323 0.0012354213 0.0011453385 0.0022686159 0.010657347 0.0015571456 0.02794773 0.0016821584 0.010988263 0.0011048932 0.0010809937 0.0016784816 0.0011379848 0.0011196005 0.0014431633 0.0015019928 0.0018899004 0.0011306311 0.0009945877 0.0018494551 0.0015700145 0.0009670113 0.0009063433 0.0016233289 0.0025774713 0.0010589325 0.0013512421 0.0024046593 0.0017759181 0.001047902 0.0015442766 0.0016564205 0.0017354728 0.0010111335 0.0009651729 0.0019082847 0.0010460636 0.0010295177 0.0011545306 0.0017924639 0.00088795903 0.0009964261 0.0021252187 0.002070066 0.0010019414 0.0010534172 0.0011398232 0.0025278337 0.0024009824 0.0020847735 0.0015681761 0.0032668805 0.0010754784 0.0011729149 0.0011655611 0.0018825467 0.0018439398 0.001546115 0.0011710764 0.0075963703 0.005517112 0.0037816393 0.0035463208 0.003910329 0.0011618843 0.003597797 0.004910432 0.005890312 0.0030811995 0.0014615476 0.0012758666 0.0024524583 0.0013365346 0.0014192638 0.0011600459 0.0029120645 0.0015902373 0.0018182019 0.0013659494 0.0023973056 0.001022164 0.0016527437 0.0011655611 0.0034709456 0.0015792067 0.0014597091 0.0015810451 0.01206558 0.015339814 0.0028054358 0.0024524583 0.005160458 0.0012390981 0.0012868972 0.001047902 0.0030003088 0.0014836086 0.0012225523 0.0010938626 0.013414984 0.0043368433 0.0012777051 0.0037485478 0.0052578943 0.0010570941 0.0010938626 0.0013126351 0.004601577 0.0014100716 0.0014928008 0.0014247791 0.0031859898 0.0017961408 0.0036842027 0.0022741312 0.0058792816 0.0017115732 0.0014431633 0.0038294382 0.007960378 0.0041419705 0.007951186 0.06528062 0.00754717 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064480766 8.4758256e-05 6.725383e-05 0.00024690447 6.264741e-05 0.00021834463 6.725383e-05 5.1591982e-05 5.619841e-05 3.224499e-05 3.593013e-05 3.3166274e-05 4.3300413e-05 3.224499e-05 3.5008845e-05 3.224499e-05 0.0014814269 6.264741e-05 5.5277123e-05 4.606427e-06 6.0804836e-05 3.8693986e-05 9.949882e-05 5.619841e-05 5.5277123e-06 1.8425708e-06 2.7638562e-06 3.6851416e-06 9.212854e-07 9.212854e-07 9.212854e-07 1.1055425e-05 0.012464991 0.00028651976 0.00023400648 0.00012713738 0.0010889593 0.00033534787 0.0002644089 0.0002515109 0.0001704378 0.00022940006 0.00012805867 0.00010134139 9.489239e-05 0.00012068838 8.383697e-05 0.0009995947 0.013522627 0.00040168042 0.00074716244 0.00069096405 0.0017117482 0.00018978478 0.00090285967 0.0005352668 9.949882e-05 0.00028467717 8.936468e-05 8.4758256e-05 7.186026e-05 9.857753e-05 6.725383e-05 0.0012566332 0.004308852 7.6466684e-05 8.752211e-05 0.0001446418 0.00040997198 0.00017965065 0.0006172612 0.00042563386 8.2915685e-05 6.541126e-05 7.923054e-05 8.4758256e-05 0.000106869105 0.00013358638 7.55454e-05 0.0006688532 0.010582805 0.00034456074 0.00076558813 0.00043116155 0.0015597361 0.00070846843 0.0032770121 0.0020719708 0.00034916715 0.00021650207 0.00035469487 0.0003602226 0.0003021816 0.00033258402 0.00028007076 0.0007047833 0.0074043707 0.00036390772 0.00039891657 0.0009360259 0.0010650059 0.00032429246 0.0011110702 0.00094339624 0.000371278 0.00027914948 0.00036759287 0.00043853183 0.00058870134 0.00043208283 0.00055829895 0.0013985112 0.012030144 0.0014215433 0.0016518647 0.018989535 0.002201872 0.0017495209 0.0017384655 0.0018637603 0.001743072 0.0017900575 0.0018609965 0.0018527049 0.0021152713 0.002328088 0.0022691258 0.004771337 0.011842202 0.0011884582 0.0017449145 0.0014740566 0.0028956 0.0020010318 0.0023934995 0.0023612545 0.008898695 0.0012630823 0.0009268131 0.0017854511 0.0028126843 0.0028762529 0.002725162 0.018848578 0.03848117 0.007001769 0.009477262 0.006689453 0.016167637 0.011426702 0.005794885 0.009217461 0.02681309 0.0032521375 0.0024229805 0.004965728 0.012028302 0.01187629 0.011026865 0.03845261 0.06550708 0.01480782 0.026824145 0.012466834 0.03686247 0.02397553 0.012499079 0.015322818 0.042185657 0.0045050853 0.005923865 0.006331073 0.023327867 0.025664248 0.019045733 0.0402224 0.0149128465 0.011157687 0.011530808 0.012377469 0.010793779 0.011284824 0.011369583 0.011146632 0.010545032 0.010892357 0.010857348 0.0109328935 0.010642689 0.010856427 0.010913546 0.010918153 2160.0 10.285648 22217.0 0.01939956 0.0026556242 0.005086195 0.0051762164 0.013098078 0.0037808884 0.005221227 0.005401269 0.007651798 0.0047711213 0.0039159204 0.0051762164 0.007696809 0.004366026 0.0065265335 0.006481523 0.022190215 0.019624611 0.015933745 0.023045415 0.020974929 0.019759644 0.018319305 0.019174507 0.02183013 0.02016474 0.015978755 0.01948958 0.01791421 0.015843723 0.015978755 0.015933745 0.0072016926 0.007381735 0.004140973 0.00859702 0.010532475 0.0055813114 0.006436513 0.007741819 0.0079218615 0.005221227 0.0035558357 0.0043210154 0.008687042 0.0065265335 0.004591079 0.006706576 0.013638205 0.005536301 0.0071116714 0.011477698 0.009452221 0.005401269 0.00702165 0.010712517 0.006841608 0.0047261105 0.004140973 0.0052662375 0.007246703 0.005086195 0.0048161317 0.0065715443 0.008416978 0.016743936 0.0066165547 0.0148534905 0.015483638 0.032497637 0.00855201 0.008236935 0.0098573165 0.014943512 0.0093622 0.0048611425 0.017869199 0.008687042 0.015438628 0.02106495 0.011027591 0.0053112484 0.02178512 0.017329073 0.030877257 0.011972814 0.006301481 0.007876851 0.007741819 0.0062114596 0.004996174 0.004996174 0.007381735 0.0046811 0.003735878 0.005536301 6.3363647 0.0 9.0 0.0 7.0 543944.0 557056.0 0.0 0.0 194.0 1.0 1.0 1.0 0.0 0.0 1540940500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 345600.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 138240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345600.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8680835 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3125715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9711485 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.621152 0.0 5.4292016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137818.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -345151.0 0.0 16064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 485884.0 16064.0 512000.0 0.0 0.0 5984.0 537960.0 20876.0 528384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 469736.0 0.0 0.0 808.0 352256.0 0.0 0.0 0.0 0.0