Input: 0.026086817 0.0038819667 0.0038667785 0.0040476373 0.003927531 0.0038775702 0.0037782476 0.0037848426 0.0038403992 0.0037196935 0.0037260884 0.0038142195 0.0037896389 0.0037067037 0.0037686552 0.0037894389 0.0037654578 0.0037850423 0.003678126 0.004077414 0.0037031064 0.003844396 0.0036853203 0.0036685334 0.0037160963 0.0037558652 0.0037558652 0.003721692 0.0037262882 0.0037003085 0.00372409 0.0037288861 0.0037746504 0.0037294857 0.004774269 0.0036943133 0.0037482711 0.0037472718 0.0037666566 0.0037564647 0.0038170174 0.0038194156 0.0037806458 0.0038112218 0.0038445957 0.0038102227 0.0037848426 0.0037029067 0.0036955124 0.0037520682 0.0037248894 0.0039229346 0.003756265 0.0037071032 0.0036965115 0.003717695 0.0037109002 0.003721692 0.0036641369 0.0037506693 0.0036885177 0.003658941 0.0036803242 0.003683122 0.0038707755 0.003716296 0.003712499 0.0036693327 0.0036815233 0.0037196935 0.003690716 0.0036841212 0.0036661352 0.0036739293 0.003718894 0.003692115 0.0036995092 0.0037800462 0.003666335 0.003674129 0.0037488707 0.0036609394 0.0036979103 0.0037126988 0.0036535452 0.003726688 0.003761061 0.0037602617 0.0036965115 0.0036535452 0.0036393562 0.0036861196 0.0036833219 0.0036381572 0.003752268 0.0036335608 0.0036989097 0.003747072 0.003681723 0.0037069034 0.0037924366 0.003777848 0.0041275746 0.0037023071 0.0037846428 0.0038158183 0.003829008 0.00368572 0.0037882398 0.0036651362 0.0037594624 0.0037015076 0.0038395997 0.0036693327 0.0037898386 0.0037852423 0.0038587847 0.003895556 0.0036687332 0.0037364804 0.0037550658 0.0036957122 0.0037069034 0.0037960338 0.0037218917 0.0036797246 0.0037620603 0.0036877184 0.0038236121 0.0037856419 0.0037848426 0.0037966333 0.0036943133 0.0037232905 0.0036789253 0.0036947129 0.0037362804 0.003780446 0.0037466723 0.0038272094 0.0036903163 0.0038112218 0.0037298854 0.0037336824 0.003662538 0.003739478 0.0036939136 0.0037310845 0.003777848 0.0036531454 0.0037538668 0.003717695 0.0037192937 0.0038092234 0.0036465507 0.0036405553 0.0041291732 0.0037222914 0.0036645366 0.003710101 0.0037114997 0.0037079027 0.0037041055 0.0036811235 0.0036993094 0.0037154967 0.0037015076 0.003710101 0.0036775265 0.0036889175 0.0037630596 0.0036833219 0.0036611392 0.0036759276 0.0036881182 0.0037678557 0.003752268 0.003729286 0.0037170954 0.003743275 0.0036953124 0.003734282 0.0036897168 0.0037204928 0.0038348036 0.0036989097 0.0037144974 0.003777848 0.0037780479 0.0037033062 0.0037358808 0.0038220135 0.0037838432 0.0036513468 0.0036373578 0.003665336 0.0036515468 0.003612777 0.0036411548 0.0037790472 0.0037702539 0.0038020292 0.0037934359 0.0037314843 0.0038397997 0.0037840432 0.0039077466 0.0038411985 0.0038120213 0.0037334827 0.0038054264 0.003781645 0.0038004303 0.0037578635 0.003812221 0.003804627 0.003761261 0.0037844428 0.0037654578 0.0037488707 0.003789239 0.0037682555 0.0037306848 0.0038092234 0.0038411985 0.0037886396 0.0038036278 0.0037198933 0.0037340822 0.0037476716 0.0037348815 0.0037760495 0.0037844428 0.0037500698 0.0037194935 0.0037884398 0.0038729736 0.0037990315 0.003796833 0.0037708534 0.0037462728 0.0037790472 0.0037222914 0.003790838 0.0038813672 0.0038451953 0.0038392001 0.0038166177 0.0038881619 0.0038012296 0.0037810456 0.0038206147 0.0038675778 0.0038388004 0.0040050703 0.019827906 0.0002047083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00097106496 1.2994178e-06 3.8982535e-06 5.2976266e-06 0.0 0.0 0.0 2.5988356e-06 4.39803e-06 9.995522e-08 0.0 2.0990597e-06 7.996418e-07 0.0 9.995522e-07 3.0986117e-05 0.0009120914 2.4988806e-06 7.896462e-06 6.8969102e-06 9.995522e-08 3.998209e-07 9.995522e-08 8.9959696e-07 4.4979847e-06 7.896462e-06 5.1976713e-06 5.5974924e-06 2.5988356e-06 9.595701e-06 7.996418e-07 5.64747e-05 0.0008725091 8.096373e-06 2.9986566e-06 1.6992387e-06 2.29897e-06 5.997313e-07 4.997761e-07 2.199015e-06 7.896462e-06 3.9982087e-06 1.2994178e-06 3.0986118e-06 5.897358e-06 8.596149e-06 2.698791e-06 9.915558e-05 0.0009496745 1.3194089e-05 0.00012474411 2.5988356e-06 1.6992387e-06 1.8991492e-06 8.9959696e-07 5.6974477e-06 4.59794e-06 1.2894224e-05 3.1985671e-06 3.698343e-06 7.1967756e-06 6.497089e-06 1.5493059e-05 0.00027897503 0.0020924625 2.698791e-05 0.00013024165 6.297179e-06 4.1981193e-06 3.8982535e-06 5.5974924e-06 4.2980746e-06 9.095925e-06 2.4988805e-05 2.0190955e-05 1.5393103e-05 3.198567e-05 5.5675057e-05 4.5279714e-05 0.00038932558 0.00019931071 1.8891536e-05 0.00012264505 7.696552e-06 3.0986118e-06 4.59794e-06 4.997761e-07 1.5992836e-06 3.998209e-07 1.5992836e-06 2.4988806e-06 1.4993283e-06 2.4988806e-06 4.897806e-06 3.8982535e-06 3.3784865e-05 0.00062781875 1.9591223e-05 0.0002497881 3.498433e-05 1.3993731e-05 3.8582715e-05 1.5093238e-05 1.2494403e-05 2.9186924e-05 1.5992835e-05 1.1494851e-05 6.6969997e-06 8.396239e-06 1.0295387e-05 1.3993731e-05 0.00011984631 0.0009604697 4.198119e-05 0.0005821392 1.8891536e-05 3.0786206e-05 2.029091e-05 1.4893328e-05 1.2994178e-05 2.0190955e-05 2.6288222e-05 5.2576444e-05 5.1776806e-05 3.2285538e-05 8.066386e-05 2.7487686e-05 0.0008922003 0.0015920867 4.0281953e-05 0.0004662911 7.706547e-05 0.0001129494 9.745634e-05 0.0004959778 0.00018221837 7.3866904e-05 0.00014693418 7.106816e-05 7.846485e-05 6.0772774e-05 0.00010955092 0.000121645506 0.0009816602 0.0029786655 0.00010725195 0.0003622377 0.00022439947 0.00020410855 0.00022829772 0.00074186764 0.00048468285 0.00017002384 0.000287971 0.00018251823 0.00038182896 0.0002792749 0.00028607185 0.00039142463 0.0031294979 0.0050676297 0.0003810293 0.00069888687 0.00051936734 0.00041201542 0.000299166 0.00067019975 0.0005990316 0.00048748162 0.00047038926 0.00033275093 0.0006277188 0.00051846774 0.0009276844 0.0008277292 0.0057889065 0.004675905 0.0009808606 0.0005224659 0.00042191098 0.00045939418 0.0003915246 0.00045769496 0.000611626 0.0007342711 0.00087660726 0.0006019303 0.0007731536 0.0007778515 0.0009454764 0.00074186764 0.005270039 0.0029450806 0.0005265641 0.00042281058 0.00034144704 0.0003620378 0.0002374936 0.00027377735 0.0004526972 0.0005752423 0.0004435013 0.00037873033 0.0003151588 0.00049787696 0.00054715486 0.0003850275 0.0023496475 0.00085241813 0.00019751152 0.00011864684 0.00017282258 0.00033624936 0.00028837082 0.00018941514 0.00023039678 0.00039142463 3.92824e-05 8.955988e-05 5.8673715e-05 0.00016592567 7.9264486e-05 0.00020530802 0.00047418757 0.057436567 0.057674862 0.057550818 0.057696052 0.057378095 0.057495642 0.057396885 0.057447165 0.05752903 0.057417076 0.057489246 0.05752523 0.057505738 0.057399884 0.057649374 0.0573674 21585.0 5.8196898 125618.0 0.010324953 0.009839354 0.025091946 0.010699104 0.010070213 0.010046331 0.009926922 0.0099746855 0.009863236 0.009600535 0.00979159 0.010356796 0.009600535 0.010125937 0.010595615 0.009688102 0.010149819 0.010340875 0.010110016 0.010738906 0.01128023 0.010133898 0.009855276 0.009950804 0.009672181 0.010046331 0.009751787 0.010364757 0.0102214655 0.009465204 0.00979159 0.01015778 0.010770749 0.010762788 0.010046331 0.010277189 0.010197584 0.010277189 0.010213505 0.0109697655 0.010324953 0.009640338 0.010006527 0.010348835 0.010237386 0.009958764 0.009934882 0.010468245 0.010372717 0.009958764 0.01040456 0.010173702 0.010078173 0.0102214655 0.010364757 0.011152861 0.0112165455 0.009640338 0.00954481 0.01003837 0.010094095 0.009751787 0.009863236 0.009688102 0.00940948 0.0112006245 0.010173702 0.01089812 0.011439444 0.013071375 0.01028515 0.010460285 0.010094095 0.011121018 0.009879158 0.010117977 0.011049372 0.009751787 0.010882199 0.011152861 0.010269229 0.009775669 0.011240427 0.0109538445 0.011622538 0.010547851 0.010062252 0.01003837 0.010643379 0.01003837 0.010133898 0.010141859 0.009751787 0.010078173 0.009759747 0.009329873 6.572063 2.0 0.0 0.0 68.0 5003907.0 626688.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1195662300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 8.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6656.0 0.0 0.0 0.0 0.0 0.0 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 -25088.0 0.0 367104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.998499 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3495554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4943748 0.0 5.354401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6594.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25064.0 0.0 366872.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 35560.0 366872.0 258048.0 0.0 0.0 3224.0 59501824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 704.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.11382212 0.004570646 0.0039830394 0.0037259615 0.003772703 0.0035389957 0.0039029112 0.0039730235 0.0036658654 0.00395633 0.0038962339 0.0032552083 0.003812767 0.003669204 0.0034488514 0.0037593483 0.003989717 0.0039663464 0.0038962339 0.003792735 0.0037893963 0.0039696847 0.003996394 0.0037025907 0.0034922543 0.00367922 0.0036057692 0.003752671 0.0034688835 0.003639156 0.0036992521 0.0036525107 0.003862847 0.0034521902 0.0037860577 0.0036525107 0.0037126068 0.0035189637 0.0035857372 0.003599092 0.0037293 0.0035657051 0.0034688835 0.0035623664 0.0036424946 0.003555689 0.0038595085 0.0036458333 0.0038728632 0.0039830394 0.0039429753 0.0043202457 0.0037860577 0.003689236 0.003732639 0.0036458333 0.0035723825 0.0035189637 0.0038461538 0.0034955929 0.003909589 0.0037693642 0.0034521902 0.0038394765 0.0036291399 0.0039329594 0.0037059295 0.0036291399 0.0042100693 0.0035857372 0.0036558493 0.003939637 0.0037960736 0.0034955929 0.00403312 0.0036424946 0.0042000534 0.003866186 0.004073184 0.003959669 0.003986378 0.004043136 0.0039763623 0.0040130876 0.003842815 0.004253472 0.0038194444 0.0037226228 0.0036758813 0.003639156 0.0040531517 0.0040231035 0.0039763623 0.0037760416 0.003916266 0.00395633 0.004073184 0.003989717 0.003949653 0.0037593483 0.0042901975 0.0038094283 0.004049813 0.0037192842 0.003515625 0.0036258013 0.0035189637 0.003308627 0.00317508 0.0033587073 0.003545673 0.0037459936 0.0034788996 0.0033353365 0.003465545 0.0035857372 0.003155048 0.0034455128 0.0032952724 0.0034955929 0.0033754006 0.003308627 0.0030148237 0.003268563 0.0030882745 0.0032318376 0.0031416933 0.0033854167 0.003649172 0.003288595 0.0032017895 0.0032051282 0.0031517094 0.00317508 0.0032618856 0.0032017895 0.0034455128 0.0033653846 0.0030381945 0.0033453526 0.003011485 0.003268563 0.003114984 0.0030882745 0.003412126 0.0030682425 0.0030281784 0.0032251603 0.003114984 0.003308627 0.0030916133 0.002991453 0.0032118056 0.0030715812 0.003198451 0.0031517094 0.0030515492 0.0029647436 0.002684295 0.003125 0.0031850962 0.0030348557 0.0031517094 0.0030548878 0.0030548878 0.0029246795 0.002981437 0.003218483 0.0031116453 0.002971421 0.0031183227 0.0030916133 0.0029747596 0.003084936 0.0029213408 0.003104968 0.0032118056 0.0030749198 0.003135016 0.0030515492 0.002951389 0.0030181624 0.0030081463 0.0029146634 0.0031817574 0.003001469 0.0031116453 0.003195112 0.003061565 0.003041533 0.0029614049 0.0029747596 0.0032318376 0.0032986111 0.0032218215 0.0031416933 0.0030148237 0.0029547275 0.0031817574 0.0030749198 0.0031583868 0.0031283386 0.0033119658 0.003145032 0.0032084668 0.0028512287 0.0031784188 0.0031116453 0.0031416933 0.003021501 0.0030348557 0.0031583868 0.0030281784 0.002928018 0.003268563 0.0028846154 0.003084936 0.0030048077 0.0029947916 0.0030381945 0.0029346955 0.002887954 0.0029647436 0.0030381945 0.0032351762 0.0030315171 0.0029680822 0.0029580663 0.003021501 0.0031183227 0.003114984 0.003125 0.0033019497 0.002981437 0.003011485 0.0031517094 0.0030482104 0.003135016 0.0030381945 0.0031650641 0.0032251603 0.00340211 0.0030916133 0.0030715812 0.002991453 0.0030715812 0.002971421 0.0030181624 0.0034054487 0.0031717415 0.0032418536 0.0030348557 0.0032084668 0.0032251603 0.0036725427 0.018813435 0.010101213 7.382947e-05 1.342354e-05 3.355885e-06 6.71177e-06 0.0 0.0 1.6779425e-06 1.6779425e-06 0.0 3.355885e-06 1.6779425e-06 1.6779425e-06 6.71177e-06 0.0 9.396478e-05 0.0033357495 2.5169136e-05 1.5101482e-05 5.033827e-06 2.5169136e-05 3.0202964e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0029531787 1.0067654e-05 3.355885e-06 6.71177e-06 1.6779425e-06 0.0 0.0 6.71177e-06 6.71177e-06 0.0 0.0 0.0 2.3491195e-05 0.0 1.342354e-05 0.00041109588 0.008555829 3.523679e-05 1.0067654e-05 3.0202964e-05 6.71177e-06 6.71177e-06 1.342354e-05 1.8457367e-05 4.1948562e-05 3.355885e-06 6.71177e-06 0.0 5.8727986e-05 0.0 3.355885e-05 0.001488335 0.0084853545 0.00050506066 0.00018289573 0.00015940453 0.000233234 0.0002449796 7.047358e-05 7.718535e-05 3.8592676e-05 3.6914735e-05 6.71177e-06 5.033827e-06 6.71177e-06 1.17455975e-05 8.389712e-06 0.00023658988 0.005565735 0.000112422145 5.53721e-05 0.00011745597 0.0001896075 0.00018289573 0.000112422145 0.000109066255 0.0001342354 0.00011913391 2.1813252e-05 1.17455975e-05 1.17455975e-05 1.5101482e-05 2.0135309e-05 9.396478e-05 0.0050589964 0.00030538553 8.725301e-05 0.00014430305 0.00014430305 0.00014262511 0.00013591333 0.00010235449 0.00010571037 6.0405928e-05 6.71177e-06 5.033827e-06 7.2151524e-05 1.17455975e-05 3.355885e-05 0.00045640033 0.0046864934 0.00033726642 0.00013926922 0.00011745597 0.0003171311 0.00036579146 7.718535e-05 4.1948562e-05 7.2151524e-05 9.2286835e-05 2.852502e-05 3.6914735e-05 2.5169136e-05 2.684708e-05 4.3626504e-05 0.00046479006 0.0061916076 0.00081548 0.00027182666 0.00034062233 0.000523518 0.0008423271 0.00046479006 0.00011913391 8.221918e-05 7.550741e-05 3.355885e-06 5.369416e-05 7.718535e-05 2.3491195e-05 1.5101482e-05 0.00040941796 0.021588407 0.0019246 0.0011795935 0.0017702293 0.0022266295 0.003471663 0.00309077 0.0011175097 0.00066614314 0.00052519597 0.00010738832 0.000112422145 0.00033726642 5.369416e-05 0.000120811856 0.002944789 0.013134933 0.0018188896 0.0015974012 0.0017316366 0.0016192144 0.0018994309 0.0013725569 0.00055539893 0.00039431648 0.00022316634 0.00013591333 0.00018457367 0.0002533693 0.0002214884 0.00011577803 0.0022333413 0.016635122 0.003355885 0.0035656276 0.003704897 0.0037116087 0.0038139632 0.0027887404 0.0009362919 0.00062419457 0.00041277384 0.00021477664 0.00029196197 0.00021309868 0.00015101481 8.0541235e-05 0.0041730427 0.01316178 0.00274008 0.0030152625 0.0040690103 0.003943165 0.003443138 0.0033726643 0.0017635175 0.0010873066 0.0006762108 0.0005067386 0.0004429768 0.000466468 0.0005486872 0.00041109588 0.0050254376 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0007617859 0.00017618395 0.00016276042 0.0001577266 0.00018457367 0.00017618395 0.0003322326 0.00020135309 0.00020974281 0.00012920157 8.557506e-05 9.2286835e-05 0.00014933688 0.00019967515 0.00017953984 0.00023826782 0.04787841 0.048021033 0.048071373 0.048240844 0.048390184 0.04823581 0.047750887 0.04814688 0.048479114 0.04754282 0.048068017 0.047849886 0.0486855 0.0473314 0.048484147 0.048583146 1576.0 9.271574 14612.0 0.0118395835 0.00793868 0.010539283 0.008759923 0.008965234 0.008280865 0.010060225 0.009102108 0.008896797 0.006980564 0.0077333697 0.00971804 0.008486176 0.008965234 0.012523953 0.010333972 0.010265535 0.01170271 0.0127977 0.016151108 0.010470846 0.011018341 0.010060225 0.010539283 0.008075554 0.011086778 0.011292089 0.009581166 0.011086778 0.012729264 0.00793868 0.012523953 0.008486176 0.0122502055 0.010676157 0.009444293 0.01704079 0.009649603 0.009444293 0.010949904 0.010128661 0.010402409 0.013208322 0.009444293 0.013961128 0.0127977 0.011908021 0.013071449 0.011086778 0.0127977 0.012318642 0.012318642 0.010470846 0.015124555 0.010470846 0.011360525 0.008691487 0.010060225 0.013618943 0.011976458 0.0127977 0.010470846 0.014303313 0.011292089 0.011634273 0.012934574 0.013208322 0.012660827 0.018067341 0.016903915 0.013550506 0.009923351 0.0074596223 0.010128661 0.008486176 0.006775253 0.010060225 0.008965234 0.010676157 0.011634273 0.0073227487 0.0074596223 0.010402409 0.009307419 0.009512729 0.010060225 0.0078018066 0.0071858745 0.0077333697 0.007596496 0.0060224473 0.006159321 0.0057487 0.0051327674 0.0059540104 0.0050643305 6.5414057 0.0 0.0 0.0 2.0 299520.0 847872.0 0.0 0.0 11.0 0.0 1.0 0.0 1.0 0.0 1518976000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 508928.0 1024.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -228864.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9985795 0.0 4.8244905 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -774144.0 0.0 69632.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 586.0 843372.0 64912.0 778240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 847300.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14353754 0.008542803 0.0042892825 0.0041955863 0.004735591 0.007056538 0.008089342 0.0038129338 0.004871486 0.0031298816 0.0037299662 0.0032536178 0.007654477 0.0028580911 0.0034760567 0.003699211 0.004543907 0.0029067271 0.0026249234 0.0026728443 0.003462467 0.0026063272 0.0028959988 0.0029324759 0.0037514232 0.0023574245 0.0024024844 0.0023645768 0.002972529 0.0023145103 0.0023302455 0.0027579577 0.0044945558 0.0029696682 0.002554115 0.0024318092 0.0032686377 0.0025197836 0.0024782997 0.0027293481 0.0029918405 0.002263013 0.0024361007 0.0023645768 0.002656394 0.0022351188 0.0026099035 0.0024089215 0.0034896461 0.002079197 0.0025197836 0.0022093703 0.003128451 0.0020820578 0.0021120978 0.00241965 0.002833773 0.0023309607 0.0019704807 0.002828051 0.0031377492 0.0018295788 0.0020098188 0.0021678864 0.0042385003 0.0033523205 0.0029403435 0.002608473 0.002791574 0.002716474 0.0025891615 0.0029603702 0.0035225472 0.0023974779 0.0022823245 0.0025977443 0.0031356034 0.0023366825 0.0023745901 0.0023216626 0.003401672 0.0026170558 0.002650672 0.0025197836 0.002743653 0.0021821912 0.0027250568 0.0026420893 0.0030390462 0.0020591703 0.0020570245 0.002133555 0.0028466473 0.0021936349 0.002479015 0.002921032 0.0036641643 0.0026907253 0.0025054787 0.0021986417 0.00290029 0.0023209474 0.002278033 0.0023753054 0.0033215652 0.0027365007 0.0025448168 0.0022680196 0.0030090064 0.002406776 0.002526936 0.004084724 0.0036927739 0.002052733 0.0034145461 0.0024568425 0.0033015385 0.0031427557 0.0022143768 0.003991743 0.0034796328 0.0027937195 0.0019933684 0.0020820578 0.0026327912 0.002092071 0.0019747722 0.002454697 0.0047577634 0.0031963987 0.00290029 0.0034116853 0.0032929557 0.003041192 0.002542671 0.0033437377 0.0055631213 0.0028423558 0.002476154 0.003224293 0.0032192862 0.002983973 0.0023052122 0.0033644796 0.004167692 0.0023102188 0.0028709653 0.0022937683 0.002437531 0.0026392282 0.002064892 0.0028888462 0.002451836 0.0022193836 0.002163595 0.0023638615 0.002653533 0.0019068245 0.0025011874 0.0021736084 0.0030819606 0.0029875492 0.0034524538 0.0029095882 0.003333009 0.0023667226 0.0024904588 0.002545532 0.0027636797 0.0032471805 0.003326572 0.0021972111 0.002710752 0.0022000722 0.002092071 0.0023116493 0.0034882159 0.0028831244 0.0023230931 0.0032235777 0.0028995748 0.0023688683 0.0025741416 0.003002569 0.0036248262 0.002954648 0.0027658253 0.0039831605 0.003152769 0.0027794149 0.0024940348 0.0030798148 0.004892943 0.003669171 0.0033659101 0.003389513 0.0037163766 0.003368771 0.0027694015 0.0033823606 0.0042113215 0.0035740442 0.0030075759 0.0031120006 0.0021113825 0.0016564912 0.0022830397 0.0036348396 0.0040618367 0.0019940836 0.0023195168 0.0021235417 0.0023974779 0.0016779484 0.0021106673 0.0021943501 0.0028373492 0.0019390102 0.0020927864 0.0021092368 0.0025119158 0.0020541635 0.0021056607 0.0024003386 0.0035933557 0.002578433 0.0019876463 0.0021228264 0.0037964834 0.0020777665 0.001673657 0.002581294 0.0031856701 0.0020656073 0.0019318579 0.0031155767 0.0025448168 0.002148575 0.0020513027 0.0025598367 0.0034867853 0.0025576912 0.0035525872 0.012603924 0.0072103143 0.0015878284 0.0019976597 0.0025190683 0.0040797177 0.0018252874 0.0016614979 0.0020291302 0.0024589882 0.006010145 0.0040375185 0.10973611 0.008064516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004140009 3.5797746e-07 3.5797746e-07 5.7276393e-06 4.2957295e-06 0.0 2.3626511e-05 3.794561e-05 1.1455279e-05 0.0 3.5797746e-07 6.8015715e-06 2.0404716e-05 3.5797746e-07 1.4319098e-06 0.00014569683 0.007915597 1.8256851e-05 1.0739323e-05 2.4342467e-05 5.906628e-05 2.0046738e-05 8.806246e-05 7.982897e-05 2.4342467e-05 3.937752e-06 2.8996174e-05 4.1883362e-05 6.2288076e-05 2.1478647e-06 1.4319098e-05 0.00040379856 0.010167992 3.6513702e-05 1.3961121e-05 4.510516e-05 2.935415e-05 2.7922242e-05 8.663054e-05 0.000142833 5.3696618e-05 9.665391e-06 8.877841e-05 0.00012565008 0.00013173571 3.937752e-06 3.937752e-05 0.00146019 0.009481749 3.4723813e-05 4.653707e-06 3.937752e-05 0.00012135436 4.116741e-05 0.00016610154 0.00012493413 0.00038697364 9.307414e-06 8.949436e-06 0.0001779148 0.00025631185 1.7898873e-06 4.0451454e-05 0.003033859 0.0077673947 2.0046738e-05 6.4435944e-06 2.398449e-05 0.00016502761 0.00012028043 0.00030428084 0.00022731569 4.1525385e-05 1.5035053e-05 0.00032933927 0.0006332621 0.00047038237 4.2957295e-06 1.7182918e-05 0.0008512704 0.019503327 0.00013889525 0.00011562672 0.00011061503 0.0003411525 0.00047467812 0.0009321733 0.0011630688 0.0017422762 0.00080222747 0.0004886392 0.0022649234 0.0020411874 0.0001635957 0.0004095262 0.027959114 0.018402189 0.00019581367 0.00013996918 0.0001857903 0.0003225377 0.00074709894 0.0012156914 0.0014079254 0.0019302145 0.0006923284 0.00062288076 0.0020082535 0.0013413415 0.0002523741 0.00079327804 0.02472765 0.025395995 0.0002749267 0.00013137773 0.00053625024 0.00038804757 0.0008602198 0.0013427734 0.0026407996 0.0032719139 0.0010732164 0.002335803 0.0031108242 0.003000925 0.0010728585 0.0034315719 0.02811197 0.018674253 0.0003096505 0.00018650625 0.0006994879 0.00045033565 0.00049902056 0.0012640184 0.0016001592 0.0019252028 0.0014866804 0.0025133598 0.0031967387 0.0048638396 0.003178482 0.0020272264 0.021641169 0.012552838 0.00033005522 0.0004367325 0.00044854576 0.00062288076 0.0007521106 0.0018643466 0.0015120967 0.0011437379 0.0013420575 0.0036449265 0.0027843486 0.002842341 0.0014315519 0.0014909761 0.015187551 0.007864049 0.00027600062 0.00018650625 0.0002301795 0.00040881024 0.00060283404 0.0015027893 0.0011369364 0.0016903696 0.0017522996 0.002332939 0.001986417 0.002321126 0.0010191618 0.0007768111 0.008903973 0.006683439 0.00031144038 0.0002588177 0.00029031973 0.00045677923 0.00064256956 0.0011355045 0.0005988963 0.0012113957 0.0016488442 0.0019631484 0.0016373888 0.0019337942 0.0010692787 0.0007911302 0.005760215 0.0012303685 0.00017397704 0.00014319098 0.0006006862 0.00018149457 0.00016001592 0.0001857903 0.00017039727 0.00023304332 0.00022301996 0.00023733906 0.00021049075 0.00026740917 0.00020333119 0.00024378265 0.00066762796 0.0002097748 0.0001539303 0.00013316762 0.00047575205 0.000114552786 0.00012815592 0.00012242829 0.0001396112 0.00012743997 0.00011133099 0.00040988417 0.00013603143 0.00013245166 0.00012636604 0.00013173571 0.00027993837 0.058541127 0.043645326 0.041668575 0.035442274 0.04147312 0.036120284 0.033570766 0.032790735 0.038706314 0.030960396 0.029043427 0.02931012 0.032494687 0.028422695 0.029822387 0.028368998 6443.0 7.033059 45314.0 0.017720792 0.0074590635 0.007414927 0.007966633 0.010592753 0.0073707905 0.0068190848 0.009974842 0.011078254 0.0062453104 0.0077459505 0.00637772 0.009599682 0.00712804 0.008981772 0.0070176986 0.012821645 0.0065984023 0.0093127955 0.00787836 0.011144458 0.0073707905 0.0069956305 0.009268658 0.010195524 0.010151388 0.0059363553 0.011894778 0.010725162 0.005384649 0.009974842 0.0055832635 0.018426977 0.019022819 0.009665887 0.009246591 0.010791367 0.007834223 0.008937635 0.022377191 0.012556826 0.008937635 0.0070839035 0.013439555 0.023083374 0.0069735623 0.009577614 0.007790087 0.011828574 0.014719512 0.010261729 0.009599682 0.009908638 0.0066646067 0.012556826 0.010416207 0.009710023 0.011034117 0.0056274 0.0051860353 0.009467273 0.0070839035 0.014984331 0.013240941 0.010747231 0.008650748 0.0059584235 0.008165247 0.011166527 0.010261729 0.006863221 0.0077238823 0.011034117 0.009798297 0.0058701504 0.00600256 0.010041047 0.007701814 0.0078121554 0.05459681 0.013571965 0.0056715365 0.018647658 0.011122391 0.013240941 0.012247871 0.0065321974 0.03861941 0.016021539 0.0074590635 0.01087964 0.004722602 0.0060466966 0.004590193 0.0044357153 0.0050315578 6.394808 1.0 1.0 0.0 12.0 1398136.0 4546560.0 0.0 0.0 11.0 0.0 1.0 0.0 1.0 0.0 1409918800.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 5.0 0.0 806912.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -804352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 592384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.936073 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6225533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -806912.0 0.0 0.0 0.0 0.0 0.0 3141632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 593920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1061.0 2822144.0 776.0 4544052.0 591412.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3949844.0 0.0 0.0 0.0 0.0 0.0 0.0 643.0 2818048.0 0.0 0.0


Input: 0.34599733 0.016138656 0.010019367 0.008383762 0.019998271 0.0050055687 0.004799832 0.004048894 0.051220156 0.0013640329 0.0047641713 0.004948648 0.006650089 0.0072316374 0.0011150917 0.0073729097 0.0059025795 0.0014291827 0.0029358596 0.0044349926 0.0053457194 0.0010554282 0.001169269 0.00080442964 0.0028199614 0.003365163 0.0025305587 0.005513738 0.0061426056 0.0006748157 0.0024208326 0.0005746906 0.008716369 0.0019832996 0.0008826095 0.0025010698 0.0051509556 0.0031992022 0.00074750924 0.002577878 0.004009804 0.0015176494 0.0015142205 0.0020354197 0.004127074 0.0005438301 0.0015217642 0.0020162174 0.003599017 0.001972327 0.002250757 0.0021876646 0.0033219585 0.0015491957 0.001973013 0.0005616606 0.0027122926 0.00041833083 0.0021039983 0.0004491913 0.0048821266 0.0020299333 0.0011555533 0.00051914173 0.0101263495 0.0036744536 0.0026869185 0.0072906152 0.006067855 0.003196459 0.0021650335 0.0014470132 0.0052620536 0.0019743845 0.0009662757 0.0011960147 0.004470654 0.002215782 0.002889226 0.0018488852 0.0043259524 0.0008455769 0.0017467027 0.0018145958 0.0050343717 0.000923071 0.0024763814 0.0011288075 0.004669532 0.0028487644 0.0004855381 0.0011912142 0.0040708394 0.0013599182 0.00088535267 0.0013770629 0.003287669 0.00389322 0.0012289326 0.0019915293 0.00446311 0.004590667 0.0023316802 0.0007811128 0.005535683 0.0029680918 0.0011185206 0.0036723963 0.011600109 0.0015053053 0.0030956483 0.0032732675 0.0074291443 0.0006741299 0.003944654 0.0018173389 0.008275407 0.0016383482 0.002289847 0.0005184559 0.00827815 0.00045330604 0.0020559933 0.0003113479 0.0010197671 0.00017761916 0.00028803106 0.00094227307 0.0029029418 0.00022631013 0.00032849258 0.00023179644 0.0010856028 0.00032986415 0.00037581197 0.00032026312 0.0012289326 0.0017192712 0.0011788701 0.00023111065 0.000923071 0.00029146002 0.002121143 0.00056303217 0.0013002546 0.0009066121 0.00064738415 0.0016726376 0.0017055555 0.00024276905 0.0003223205 0.00034152257 0.0021643478 0.0007605392 0.00026128534 0.00020162175 0.0014792453 0.00025579904 0.0008119733 0.00023728274 0.0014655296 0.00047113653 0.00038198408 0.00018516283 0.0014730733 0.00031546262 0.00035729568 0.00021876646 0.0010828597 0.00036552513 0.0013448308 0.00030174683 0.0010965754 0.00033397888 0.0002983179 0.00027911583 0.001573884 0.00036483936 0.00022768171 0.00022905329 0.0009285573 0.00014127238 0.0011541817 0.00044233343 0.001981928 0.00079414283 0.0016349192 0.0001639034 0.0008942679 0.0001460729 0.00021465174 0.00026540007 0.002206181 0.00074545183 0.00020025017 0.0014415269 0.0010958896 0.00035180937 0.0008140307 0.0006178952 0.0008887816 0.00018516283 0.00022013804 0.0005644038 0.0009930214 0.00025991377 0.0002852879 0.0002455122 0.0012933967 0.0002228812 0.00032917838 0.00042861767 0.0008819237 0.00014470132 0.0003031184 0.00023111065 0.00095255993 0.00016458919 0.00035386675 0.0002750011 0.0010458272 0.00035935306 0.00029557475 0.00037718355 0.001486789 0.0007769981 0.0002866595 0.00033466468 0.001477188 0.00017076128 0.00041147295 0.0011459521 0.0009463878 0.00027157215 0.00018859177 0.000735165 0.0010801165 0.0003332931 0.00028254476 0.0007324219 0.001253621 0.00016596077 0.00026608584 0.00071459136 0.009076408 0.0072816997 0.00080991595 0.00034975202 0.0018680872 0.00020025017 0.00028323056 0.0024270047 0.0037437181 0.004601639 0.010336201 0.06966786 0.025279792 0.0 0.0 0.0 3.431351e-06 2.7450808e-06 8.921513e-06 3.7744862e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006773487 1.7156755e-06 1.3725404e-06 2.0588107e-06 2.7450808e-06 2.0588107e-06 1.3725404e-06 2.0588107e-06 5.4901616e-06 1.3725404e-06 2.4019457e-06 0.0 1.0294053e-06 1.0294053e-06 6.862702e-07 0.0 0.0012802371 1.5784215e-05 1.3382269e-05 3.7744862e-06 1.818616e-05 1.0294053e-05 3.0882158e-05 8.921513e-06 2.7450808e-06 2.7450808e-06 1.0294053e-06 3.7744862e-06 2.0588107e-06 1.7156755e-06 2.0588107e-06 7.8921075e-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 0.0046700686 0.00018254787 7.308778e-05 3.156843e-05 0.00022646917 4.3921293e-05 6.313686e-05 4.4607565e-05 3.2597836e-05 9.264648e-06 8.441124e-05 6.107805e-05 1.6470485e-05 2.6078267e-05 9.264648e-06 4.7352645e-05 0.015930733 0.0007758285 0.00034004688 0.00019798895 0.00108465 0.00013073448 0.0003198019 0.000113920854 0.00013896971 6.485253e-05 0.00021480257 0.0001876949 0.00012112669 0.00010088172 5.593102e-05 0.0006015158 0.014156725 0.00075695605 0.00031534117 0.00024396906 0.0011649437 0.00013553837 0.00028274333 0.0002659297 0.0001544108 0.0001427442 0.00022475349 0.00018700863 0.00013210702 8.5097505e-05 6.725448e-05 0.00065847626 0.023245344 0.0013389132 0.0010647483 0.00057921204 0.0016302349 0.0005339182 0.0013272465 0.0011241105 0.00042205618 0.00026352776 0.0002700473 0.0003187725 0.00027313555 0.000246371 0.00021171436 0.001584941 0.06803752 0.0024719452 0.0072905915 0.002455818 0.009618763 0.005373839 0.010028467 0.0054115835 0.00076073053 0.0005973982 0.0005171046 0.0005270555 0.0006231333 0.00038293877 0.0003469096 0.003616644 0.071306564 0.005758493 0.004586687 0.0034776742 0.00720618 0.004433992 0.007353728 0.006083099 0.0019647917 0.0013567562 0.0009618077 0.0010304347 0.0012685704 0.0006821526 0.00089695514 0.010936402 0.12153674 0.014104568 0.011140911 0.008893719 0.01100297 0.009198423 0.014692016 0.010974833 0.0038969854 0.003598458 0.0021209181 0.0020207227 0.0026091994 0.0016545975 0.002702189 0.038461328 0.1285487 0.017295381 0.015334021 0.012373452 0.015227993 0.012040268 0.01720548 0.013213104 0.0049758023 0.0050928113 0.0034625763 0.0029801284 0.0035246839 0.0024033182 0.0037635057 0.050359193 0.016371662 0.002425622 0.0016250878 0.0018855274 0.005252712 0.0017235676 0.0026912086 0.0017060677 0.00074563257 0.0008671024 0.001071954 0.001993615 0.001452834 0.00102117 0.0011549927 0.0043921294 0.007159514 0.0015691568 0.0008832298 0.0010626895 0.004636098 0.0011110714 0.0008671024 0.0006474959 0.00052533986 0.00084994565 0.0005809277 0.0013872952 0.00061935885 0.00057543756 0.0009377882 0.0018862137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005685749 0.00044538936 0.000398723 0.0004985753 0.00043578158 0.00046460493 0.0004910263 0.000535977 0.00044024232 0.00047249705 0.0004652912 0.00046494807 0.00047833033 0.00048176167 0.00051779085 0.0005706337 2933.0 11.186499 32810.0 0.024321852 0.00018287108 0.0010362695 0.0005486132 0.00033526364 0.000121914054 0.0031697652 0.0028649801 0.0035355075 0.0007924413 0.00036574216 0.000121914054 0.00021334959 0.0002743066 0.008442548 0.00051813474 0.009204511 0.015665956 0.01024078 0.0046022553 0.0024078025 0.0031392868 0.0016153612 0.0024078025 0.0038402926 0.0013410546 0.0009448339 0.00024382811 0.0005486132 0.0005486132 0.00036574216 0.00024382811 0.00030478512 0.021152088 0.007497714 0.024260895 0.012557147 0.012039012 0.010088388 0.018561414 0.0014020116 0.016458398 0.00060957024 0.006126181 0.016732704 0.013288631 0.009295946 0.0064919232 0.015665956 0.0005790917 0.009539775 0.03355684 0.013410546 0.005486132 0.020207254 0.0044803414 0.011094179 0.00076196284 0.00085339835 0.0005486132 0.0020115818 0.000121914054 0.000121914054 0.013898202 9.143554e-05 0.04977141 0.017768973 0.020207254 0.025906736 0.07555623 0.010484608 0.010454129 0.006126181 0.047576956 0.0009448339 0.007619628 0.03977446 0.021395916 0.040018287 0.036604695 0.012160926 0.0005790917 0.048582748 0.02849741 0.047790308 0.013654374 0.005425175 0.0047851265 0.007954892 0.0047241696 0.00085339835 0.00024382811 0.00021334959 0.00030478512 0.00018287108 0.00033526364 5.526699 11.0 0.0 0.0 1.0 1458176.0 1564672.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1541089800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1449984.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1449984.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.353741 0.0 4.0401163 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1446976.0 0.0 2892.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -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 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 1450468.0 2892.0 1560576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 404.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.59786135 0.0027532273 0.0018984196 0.0017735789 0.0023638366 0.0015036986 0.001385591 0.001533436 0.0028303762 0.0014273915 0.0013482791 0.0013286412 0.0022454485 0.0013780164 0.0012913293 0.002622776 0.0021116305 0.0014069121 0.0011908957 0.001190054 0.0015168841 0.0013642699 0.0011956649 0.0012110946 0.0015839334 0.001303112 0.0012088503 0.0012655195 0.0013611839 0.0012195108 0.0013317271 0.0012857184 0.0016417247 0.001165647 0.0011648054 0.0013286412 0.0015034181 0.0012298909 0.0011527421 0.001207167 0.0013266774 0.001207167 0.0011499367 0.001512676 0.0013025509 0.001505943 0.0012355016 0.0012262438 0.0014804137 0.0013008676 0.0012845963 0.0017920946 0.0012394292 0.0011990314 0.0012012756 0.0012629946 0.0013084422 0.0012851574 0.0012209135 0.0015847749 0.001424025 0.0014066315 0.0013028315 0.0016119874 0.0017609545 0.0014248667 0.0014691921 0.0013494012 0.0013384601 0.0051434347 0.0018470805 0.0013252747 0.0013752109 0.0011897736 0.0013025509 0.0012001535 0.0013858716 0.0035061988 0.0012949763 0.0012803882 0.00220477 0.0017631989 0.0014899522 0.0014414185 0.0013468764 0.0030682746 0.001595716 0.0015135176 0.0013611839 0.0016445301 0.0011816379 0.0013496818 0.001282913 0.001678195 0.001513237 0.0014226224 0.001323872 0.0014689115 0.0012447595 0.0014352467 0.0015755171 0.0018383838 0.0015642955 0.0012997455 0.0015513906 0.0014599343 0.0016829643 0.0013376185 0.0015735533 0.0018153795 0.0015093095 0.0016728648 0.0014456267 0.001217547 0.001622648 0.00156149 0.0024746503 0.0023649589 0.0013415461 0.0013205055 0.0014759251 0.0013670753 0.0013294828 0.0012646778 0.0013889575 0.0015640149 0.0013426682 0.0013334104 0.0016899777 0.0014243056 0.0012150222 0.0032601645 0.00150959 0.0027686572 0.0012534562 0.0012273659 0.0014178532 0.004366337 0.0013266774 0.0078009977 0.0013785774 0.0031891877 0.0011791129 0.0012484065 0.001299465 0.0011608778 0.0012192302 0.0011855654 0.0013415461 0.0017724567 0.0012411125 0.0011861265 0.001269447 0.0011892124 0.0010983172 0.0011841627 0.0013064785 0.0011990314 0.0012820715 0.0012708498 0.0013808218 0.0013645504 0.0011095388 0.0013460347 0.0012702887 0.0011990314 0.0011648054 0.0013247136 0.0013165779 0.0011737826 0.0010744713 0.0012018367 0.0013684779 0.001223719 0.0012234384 0.0013076006 0.001382505 0.0011740632 0.0011765881 0.0011763076 0.0013853104 0.0012340989 0.0014989295 0.0012851574 0.0015547571 0.001282913 0.0012265244 0.0012282076 0.0014380522 0.0014534818 0.0013233109 0.001385591 0.0021646528 0.0016821226 0.0014983683 0.0017609545 0.0017800314 0.0012301714 0.0015654176 0.002131549 0.0016700593 0.0014806943 0.0013869937 0.0012815103 0.003421756 0.0012110946 0.0012340989 0.0012843157 0.0016462133 0.0012677638 0.0013381796 0.0012453205 0.0013861521 0.0011749049 0.0012733747 0.001296379 0.0015135176 0.0012613114 0.0012812298 0.0013707223 0.0015471824 0.0012834742 0.0012697276 0.0013207861 0.0016647291 0.0013617451 0.0012464428 0.0012820715 0.001640322 0.0015530739 0.0012268049 0.0012223163 0.0035241535 0.001670901 0.0012733747 0.0020097943 0.0021831684 0.0012411125 0.0012932931 0.0014055094 0.0020156857 0.0013297633 0.0014158894 0.0014972462 0.0018453973 0.0014122423 0.0013617451 0.0014983683 0.0021043364 0.0014543234 0.001303673 0.0013314466 0.002420506 0.0017780676 0.002156517 0.0104198465 0.5755747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027037872 1.6837284e-06 5.612428e-07 1.1224856e-06 1.1224856e-06 9.821749e-07 5.612428e-07 2.1046606e-06 5.612428e-07 1.1224856e-06 1.6837284e-06 1.1224856e-06 7.015535e-07 8.418642e-07 1.1224856e-06 1.6837284e-06 0.00024722746 5.612428e-07 1.4311692e-05 5.612428e-07 7.015535e-07 8.418642e-07 8.418642e-07 9.821749e-07 1.5434177e-06 7.015535e-07 8.418642e-07 1.2207031e-05 3.2271462e-06 7.015535e-07 9.821749e-07 1.1224856e-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 0.0004585354 1.1786099e-05 1.50132455e-05 1.2627963e-06 1.2487652e-05 9.260507e-06 2.6378413e-05 1.3048895e-05 1.9643498e-06 7.015535e-07 2.1046606e-06 3.9286997e-06 3.2271462e-06 5.0511853e-06 8.418642e-07 9.1201955e-06 0.00038697693 3.9286997e-06 1.2627964e-05 3.0868355e-06 4.349632e-06 2.9465248e-06 9.0921334e-05 3.788389e-05 2.9465248e-06 3.788389e-06 4.0690106e-06 3.788389e-06 3.2271462e-06 5.1914963e-06 4.349632e-06 4.6302534e-06 0.0029661683 5.9351427e-05 0.00016753098 1.5293866e-05 0.0003145766 6.496385e-05 0.0002925478 0.00016626819 3.8866066e-05 6.9313486e-05 1.8521014e-05 1.2487652e-05 1.2487652e-05 2.2730334e-05 2.792183e-05 0.0003486721 0.0019045775 4.012886e-05 0.00013806573 4.3075386e-05 0.0002451228 5.5142107e-05 0.000498103 0.00026532754 2.7079966e-05 1.2908585e-05 1.6556663e-05 1.7819459e-05 1.9783809e-05 2.1327227e-05 3.7042028e-05 0.0001062152 0.0014823825 3.5217985e-05 0.00015181619 0.00010284775 0.00038627538 0.00014269598 0.0009211398 0.0005146597 3.199084e-05 2.1186916e-05 7.310187e-05 4.3636628e-05 2.5536548e-05 2.5676858e-05 2.6518723e-05 3.830482e-05 0.0020620062 0.000115195086 0.00021172885 0.00010495241 0.000500348 0.00016332166 0.0008463542 0.00048856187 0.000115054776 4.223352e-05 9.44291e-05 8.544922e-05 4.3215696e-05 5.7667698e-05 5.0511855e-05 0.0001913838 0.0011609307 7.60484e-05 9.933998e-05 0.00011280981 0.00018801635 0.00012894554 0.00015392085 0.00013273393 0.0005647506 0.000118702854 6.03336e-05 8.025772e-05 0.00014395878 7.534685e-05 0.00013062927 0.0007962632 0.0037583625 0.0005705033 0.00028230515 0.00033155418 0.0014867323 0.0009907339 0.00026939655 0.00034923333 0.0036281543 0.0004025514 0.00022084905 0.00039960488 0.0012019015 0.00033997284 0.00090318 0.0038304823 0.011135198 0.0015361216 0.0010387201 0.0012657428 0.005332368 0.0038982523 0.0015968761 0.0017927499 0.009892185 0.0006723689 0.000692293 0.0010151479 0.0047555505 0.0012787918 0.0037948433 0.0074866987 0.004996745 0.0010294596 0.00073480717 0.0011119624 0.0016827462 0.0019336218 0.0010604683 0.001516899 0.003489387 0.00030770138 0.00040718165 0.0006147012 0.0017899437 0.00086585735 0.0017317147 0.0031635854 0.019182999 0.018270278 0.017970433 0.01879981 0.01804059 0.01847036 0.018557353 0.019117614 0.01846545 0.018557074 0.01846124 0.018919496 0.018787462 0.018780448 0.019094743 0.019375224 5897.0 7.487536 44154.0 0.019386692 0.0065679215 0.0064999773 0.0068396972 0.010712506 0.0071567693 0.0061602574 0.0080853375 0.0077003217 0.0075191376 0.0068623456 0.0064773294 0.0068849935 0.0070435293 0.009240386 0.0068623456 0.008764778 0.008153282 0.008470354 0.0074964897 0.0066811615 0.0068396972 0.0070435293 0.0062734974 0.0072247135 0.0067944014 0.009580106 0.007972098 0.007994746 0.00783621 0.008107985 0.010531322 0.022625357 0.010236898 0.006001721 0.009036554 0.0074285455 0.008470354 0.009783938 0.008040042 0.006749105 0.008221226 0.0068623456 0.007473842 0.0077456175 0.008017394 0.0077229696 0.0067944014 0.012094035 0.0067038094 0.0075417855 0.0108710425 0.009127146 0.007813562 0.010463378 0.010372786 0.009172442 0.009489514 0.00794945 0.0074964897 0.0070661777 0.007972098 0.008334465 0.012524347 0.0077682654 0.022534765 0.0119581465 0.018208995 0.015038275 0.038660143 0.01032749 0.010712506 0.00840241 0.020836165 0.007813562 0.0074058976 0.018344885 0.013837931 0.02054174 0.030348327 0.0128187705 0.0064546815 0.026634054 0.02214975 0.032069575 0.012977307 0.008674186 0.007972098 0.010395434 0.011233411 0.00783621 0.0071341214 0.0066585136 0.007972098 0.006952937 0.0073606013 6.4074864 1.0 0.0 0.0 19.0 3564544.0 3584000.0 1.0 0.0 114.0 0.0 1.0 0.0 1.0 0.0 1543421800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 353792.0 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 2638848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353792.0 0.0 562688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.399133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3387957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3484178 0.0 7.992801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2638506.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -353327.0 0.0 562536.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2996304.0 562536.0 3018752.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 418512.0 0.0 0.0 0.0 0.0 24.0 418704.0 64.0 418544.0 0.0 0.0 464.0 360448.0 0.0 0.0 0.0 0.0


Input: 0.29247805 0.04207397 0.04408482 0.010718134 0.028613763 0.0050800494 0.018386316 0.0042911023 0.0053494456 0.004502771 0.02336053 0.0028863917 0.0036079895 0.0031365457 0.0037523091 0.0026651016 0.0032231372 0.0064462745 0.006619458 0.005330203 0.0017414563 0.0026554803 0.0053398246 0.0043584513 0.0034251846 0.0020108528 0.002896013 0.0011930419 0.001010237 0.0020589593 0.003088439 0.0048395167 0.004801031 0.0025785097 0.004031327 0.0015009237 0.0010583436 0.0017414563 0.0017125923 0.0017125923 0.015817426 0.0021263084 0.009553956 0.0017125923 0.0009909945 0.0019146397 0.0020589593 0.0014239532 0.0041082976 0.0011930419 0.0013469828 0.002270628 0.0012892549 0.001260391 0.0022802495 0.0012507697 0.00412754 0.0030691964 0.0018376693 0.0008659175 0.001481681 0.0017606989 0.002713208 0.0019627463 0.002482297 0.0033193503 0.0022513855 0.0049549723 0.0026651016 0.0030499538 0.0018953972 0.0014913024 0.0012219058 0.0025977525 0.0009428879 0.0012507697 0.0015586514 0.0017414563 0.0012796336 0.0022898708 0.0023764623 0.0015297876 0.002049338 0.0030980604 0.0032808653 0.0012700123 0.0015297876 0.0008659175 0.0015201663 0.001260391 0.0008466749 0.0029344982 0.000692734 0.0006734914 0.0006061422 0.0040505696 0.0011930419 0.0129983835 0.0018472907 0.0077066654 0.005397552 0.021465132 0.002049338 0.005426416 0.0029248768 0.011661022 0.00093326665 0.0019723675 0.0068022627 0.0038196582 0.013027248 0.019925723 0.0060325586 0.001010237 0.012180572 0.009044027 0.01569235 0.00545528 0.0018953972 0.001260391 0.002174415 0.0025015394 0.0011160715 0.016856527 0.001731835 0.008322429 0.0010872075 0.00040409484 0.0030499538 0.0044258004 0.00092364533 0.00055803574 0.0006061422 0.00042333745 0.004031327 0.00040409484 0.0006350062 0.0007312192 0.0006061422 0.00043295874 0.0011930419 0.0011834205 0.0011256927 0.00082743226 0.00082743226 0.00064462743 0.00046182267 0.0010583436 0.0007793257 0.00045220135 0.0006638701 0.00079856836 0.0006734914 0.00041371613 0.001385468 0.000692734 0.00493573 0.00049068657 0.0003559883 0.00055803574 0.0011834205 0.0008081897 0.00064462743 0.0005387931 0.00055803574 0.0008659175 0.00042333745 0.0003656096 0.00043295874 0.000346367 0.00049068657 0.00041371613 0.00048106528 0.0005099292 0.0003367457 0.00079856836 0.00061576354 0.0003656096 0.000346367 0.00043295874 0.00064462743 0.00024053264 0.0006350062 0.00085629616 0.0005772783 0.0006831127 0.0003656096 0.0005099292 0.00047144396 0.00048106528 0.00041371613 0.00049068657 0.00095250923 0.00040409484 0.00048106528 0.00049068657 0.0006831127 0.00048106528 0.00048106528 0.00044258006 0.0006061422 0.00044258006 0.00026939655 0.00029826048 0.0007023553 0.000692734 0.00043295874 0.0005772783 0.00039447352 0.00040409484 0.00028863916 0.0007215979 0.0007793257 0.0003559883 0.00026939655 0.00045220135 0.00026939655 0.0005484144 0.0006831127 0.00020204742 0.000567657 0.00081781094 0.0003848522 0.00027901787 0.0007504618 0.0011641779 0.0033001078 0.000692734 0.00045220135 0.00044258006 0.0016163794 0.00045220135 0.00076008314 0.0005291718 0.00049068657 0.00029826048 0.000346367 0.0003848522 0.00076008314 0.00042333745 0.000567657 0.00026939655 0.00030788177 0.00041371613 0.00055803574 0.00039447352 0.0003656096 0.00030788177 0.0003848522 0.00041371613 0.00029826048 0.00022129003 0.0010006158 0.0003848522 0.0009909945 0.002453433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0074023437 0.0004394531 0.00021484375 9.765625e-05 0.0001953125 0.00013671875 0.00071289064 0.00030761719 0.00030273438 2.9296874e-05 4.3945314e-05 2.9296874e-05 1.953125e-05 9.765625e-06 2.4414063e-05 3.4179688e-05 0.024575196 0.0031689452 0.0023925782 0.0013427734 0.008144531 0.005957031 0.041884765 0.020668946 0.0010449219 0.00015625 9.765625e-05 0.00012207031 0.00011230469 7.324219e-05 8.789063e-05 0.00017089843 0.19959472 0.01965332 0.02458496 0.012475586 0.015078125 0.011010742 0.060629882 0.04595215 0.0034130858 0.0033007814 0.0025048829 0.0017529296 0.0017773438 0.0017919922 0.002182617 0.004296875 0.16371582 0.0221875 0.019267578 0.00946289 0.006118164 0.0047021485 0.008823242 0.01623047 0.0072167967 0.0039648437 0.002470703 0.0032275391 0.0026757813 0.0033447265 0.00418457 0.0024072265 0.07209472 0.009648438 0.0047070314 0.008300781 0.003999023 0.0034375 0.0055419924 0.0039697266 0.008120117 0.006333008 0.0026611327 0.0022705079 0.002788086 0.0017138672 0.0025292968 0.0018847656 0.022700196 0.0017871094 0.003989258 0.0014404297 0.0017236328 0.0036523438 0.0025292968 0.0005371094 0.0013183594 0.0015625 0.0015234374 0.0008203125 0.0011621094 0.00057128904 0.0040185545 0.0006640625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1261.0 13.084061 16499.0 0.00072731683 6.0609735e-05 0.00042426813 0.00018182921 0.00018182921 0.0 6.0609735e-05 0.0 0.00024243894 0.0 0.00018182921 0.0 0.00024243894 0.00012121947 0.0036365842 0.0 0.0026062184 0.0016970725 0.0012728045 0.00084853626 0.0 0.00012121947 6.0609735e-05 0.00012121947 6.0609735e-05 0.0 0.0 6.0609735e-05 0.004121462 0.00072731683 0.004121462 0.00018182921 6.0609735e-05 0.012364386 0.0068489 0.013819019 0.008606582 0.01145524 0.007697436 0.004363901 0.0017576823 0.011152191 0.00078792655 0.00048487788 0.0049699983 0.007333778 0.003394145 0.010243045 0.0099399965 0.00018182921 0.008545972 0.013819019 0.016849507 0.004363901 0.0033335353 0.0020001212 0.0012728045 0.00084853626 0.0005454876 6.0609735e-05 0.0 0.0 0.0 0.022001334 0.00042426813 0.06170071 0.0072731683 0.033274744 0.025940966 0.11667374 0.0060609733 0.0273956 0.011212801 0.05715498 0.0021819505 0.005879144 0.033638403 0.017879872 0.068004124 0.05897327 0.019758774 0.00096975575 0.05254864 0.037517425 0.08400509 0.026607674 0.008485363 0.0034547548 0.009879387 0.010788533 0.00078792655 0.0 0.0 0.00036365842 0.0 0.0 4.9545245 0.0 0.0 0.0 1.0 103936.0 131072.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 8.0 0.0 4.0 0.0 4.0 0.0 101888.0 512.0 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 -101888.0 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 -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 -5.7199597 0.0 3.1011798 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 -101428.0 0.0 768.0 0.0 0.0 0.0 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 75.0 109536.0 768.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 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