Input: 0.33214763 0.004346462 0.0023933372 0.0034761578 0.036046796 0.0018721664 0.0021504615 0.0026159731 0.0023933372 0.002454056 0.0017254291 0.0017406088 0.0022263601 0.0016798899 0.0019885444 0.0039770887 0.0023933372 0.0151291285 0.0017709683 0.017117674 0.0019126458 0.00167483 0.0017760282 0.0016090511 0.0021656412 0.001735549 0.0017153092 0.0017456687 0.002170701 0.0017153092 0.0020189038 0.0019379453 0.014294243 0.0019379453 0.0022668394 0.0016849498 0.0018114476 0.0018063877 0.0017406088 0.001619171 0.001897466 0.0019683046 0.0016141111 0.0015432723 0.0017810881 0.0013459359 0.0018721664 0.0017406088 0.0022263601 0.0024186366 0.002287079 0.0024894753 0.0023730975 0.0021352817 0.0025400745 0.0026311527 0.0026159731 0.0016444705 0.0018114476 0.0016950696 0.001998664 0.0015533922 0.0015331525 0.001558452 0.0026362129 0.0024793555 0.0016950696 0.0025552541 0.0023528577 0.0037797522 0.0023781573 0.0029802865 0.0023477979 0.0020290236 0.0013611156 0.0013358161 0.0024085168 0.0028841484 0.0017051895 0.0017709683 0.0030005262 0.0017102493 0.0020189038 0.0030005262 0.002008784 0.0027222312 0.0016900097 0.002727291 0.002059383 0.0015382124 0.0014370142 0.0017254291 0.0017051895 0.0019581849 0.0013864152 0.0015685719 0.0021049222 0.0041592456 0.0017001295 0.01671794 0.003622895 0.006603182 0.0018013277 0.0026159731 0.0032737614 0.0038809504 0.0018215673 0.0017557886 0.0036633743 0.0023275584 0.00334966 0.0041440655 0.0028133097 0.0018013277 0.004017568 0.003734213 0.005702518 0.0026311527 0.001998664 0.0019177056 0.002180821 0.0018873462 0.0015179728 0.0015786918 0.0017456687 0.0020846827 0.0015179728 0.0018266273 0.0355914 0.0031067843 0.0019126458 0.0032434019 0.002120102 0.0029195677 0.0020998623 0.001897466 0.001735549 0.002003724 0.0015736318 0.0024287566 0.0016596502 0.0025906735 0.001735549 0.0016900097 0.01505323 0.0014977332 0.0014420742 0.0018215673 0.0014825534 0.0017962678 0.0013914751 0.001502793 0.0023832172 0.001558452 0.0014319543 0.0016090511 0.0018468669 0.0016495305 0.0015736318 0.0016495305 0.002109982 0.001558452 0.001502793 0.0017203692 0.0015280927 0.0016242309 0.0013358161 0.0015230327 0.0018114476 0.0015230327 0.002008784 0.001396535 0.0020290236 0.0015837516 0.0014167746 0.0016090511 0.0017051895 0.0016141111 0.0015078529 0.0015230327 0.0017051895 0.0020543232 0.0016039913 0.0018114476 0.0018822863 0.0016950696 0.0015736318 0.0015382124 0.0016292908 0.001502793 0.0014319543 0.0015331525 0.0020391433 0.0019278255 0.0024338164 0.002170701 0.0025046552 0.001897466 0.0014117147 0.0039011901 0.0019126458 0.0025856136 0.0014977332 0.001558452 0.0021605813 0.0014623138 0.0017001295 0.0016596502 0.0017810881 0.0016495305 0.001563512 0.0015786918 0.0015837516 0.002175761 0.0015280927 0.0016849498 0.0023933372 0.0025198348 0.0014015948 0.0017102493 0.002064443 0.0018468669 0.0015685719 0.0016292908 0.0021605813 0.0018519268 0.0014066548 0.0016090511 0.001836747 0.001502793 0.001558452 0.001396535 0.0033547198 0.0020897426 0.0015331525 0.0015483323 0.002676692 0.0014623138 0.0017001295 0.0017254291 0.0020796228 0.0018620467 0.0015280927 0.002008784 0.0017608484 0.0014673737 0.0016596502 0.0030460653 0.001897466 0.0017406088 0.0015989314 0.0017912079 0.0019328854 0.0017102493 0.0022010605 0.012492917 0.23958333 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004211426 7.6293945e-06 0.00027211508 8.138021e-05 2.7974447e-05 2.0345053e-05 7.6293945e-06 1.2715657e-05 0.0003077189 1.2715657e-05 0.0 2.5431316e-06 7.8837074e-05 1.780192e-05 3.0517578e-05 0.00011698405 0.008082072 8.646647e-05 6.1035156e-05 8.646647e-05 8.138021e-05 7.6293945e-05 7.120768e-05 7.6293945e-05 8.138021e-05 6.612142e-05 7.120768e-05 8.138021e-05 6.612142e-05 0.0012257894 0.00011698405 8.646647e-05 0.0029271443 0.0 0.0 2.5431316e-06 0.00034077963 0.0001373291 0.0012512207 0.0005493164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037892659 4.83195e-05 6.3578285e-05 0.00013987224 0.00016784668 8.392334e-05 3.8146973e-05 5.8492024e-05 0.00012715657 2.5431314e-05 1.780192e-05 1.780192e-05 0.0001449585 2.7974447e-05 8.646647e-05 0.0003712972 0.012931824 0.0002339681 0.00019582112 0.0002924601 0.0043258667 0.002629598 0.013117473 0.0059890747 0.0007247925 0.00017801921 0.00014750163 0.00018310547 0.0002009074 0.00016276042 0.00017547607 0.00017801921 0.002337138 0.0266215 0.00062561035 0.00036875406 0.00088500977 0.0008748372 0.013043721 0.001314799 0.00042978922 0.012158711 0.00044759116 0.0004272461 0.00034332275 0.00045013428 0.00032552084 0.0018463135 0.0037587483 0.0016708374 0.0006866455 0.00021362305 0.00015513103 0.00018819173 0.00084940594 0.00015258789 0.0008036296 0.00082651776 5.340576e-05 7.8837074e-05 0.00019582112 5.8492024e-05 0.00012207031 0.00060272217 0.03046163 0.00067647296 0.010971069 0.0039138794 0.002380371 0.0021896362 0.0032145183 0.0019556682 0.01302592 0.00055440265 0.0005086263 0.00068918866 0.0031738281 0.00061035156 0.0019887288 0.007019043 0.0060272217 0.002187093 0.0009841919 0.0010223389 0.0007425944 0.0006205241 0.0019175211 0.0009028117 0.0013809204 0.0010274252 0.0002009074 0.0002822876 0.00068410236 0.00018310547 0.00044759116 0.002222697 0.065083824 0.009302775 0.00801595 0.008931478 0.008476257 0.00709788 0.008509318 0.008595784 0.03151703 0.00684611 0.006223043 0.0063069663 0.0089696245 0.0064722695 0.00801595 0.009969075 0.0036036174 0.0004272461 0.00071970624 0.00065612793 0.0011672974 0.0005925496 0.0017217001 0.0010630289 0.0009435018 0.000638326 0.0008392334 0.0004679362 0.0006535848 0.0009613037 0.00068918866 0.00048065186 0.018819174 0.017601013 0.018529257 0.017967224 0.017951965 0.017766317 0.019457499 0.0181427 0.019322714 0.017560324 0.017906189 0.017903646 0.018478394 0.018643698 0.017539978 0.018076578 960.0 10.328125 9915.0 0.006051437 0.002118003 0.0029248614 0.0022188602 0.0015128592 0.0026222894 0.00050428644 0.0011094301 0.0017145738 0.0019162884 0.002420575 0.0018154312 0.0013111447 0.0029248614 0.0044377204 0.0017145738 0.0022188602 0.0025214322 0.003530005 0.0041351486 0.0027231467 0.0026222894 0.0027231467 0.009480585 0.002420575 0.0011094301 0.002824004 0.0018154312 0.0036308623 0.0025214322 0.0036308623 0.0018154312 0.002118003 0.01149773 0.0032274332 0.015229451 0.012909733 0.010690873 0.01744831 0.024609178 0.01301059 0.011195159 0.0011094301 0.002420575 0.013313162 0.009984871 0.004538578 0.002824004 0.01301059 0.0033282905 0.0052445787 0.023499748 0.0065557235 0.002824004 0.0034291476 0.023701463 0.0020171457 0.002824004 0.0017145738 0.0015128592 0.0022188602 0.001412002 0.0017145738 0.0030257185 0.0026222894 0.04387292 0.005748865 0.03156833 0.034392335 0.09702471 0.0064548664 0.015532022 0.020978315 0.040746342 0.0023197175 0.00484115 0.039536055 0.012002017 0.03419062 0.048613213 0.01301059 0.0027231467 0.044881493 0.032677762 0.06868381 0.014321735 0.0050428645 0.007766011 0.008673727 0.008673727 0.0019162884 0.0016137166 0.0018154312 0.0033282905 0.0009077156 0.0023197175 5.557658 0.0 0.0 0.0 3.0 197632.0 258048.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1202814100.0 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 8.0 1.0 7.0 4.0 10.0 0.0 4.0 0.0 57344.0 1024.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53760.0 0.0 0.0 0.0 0.0 0.0 78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.407139 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6617548 0.0 0.0 0.0 0.0 0.0 5.8335123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.430885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 249856.0 1256.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.03434041 0.01773448 0.018149387 0.014888647 0.015823282 0.013484075 0.014284192 0.012456849 0.013341696 0.011479413 0.012234983 0.010866223 0.012034954 0.010180533 0.01136586 0.009790082 0.010709869 0.009376922 0.010337762 0.009171652 0.009867824 0.008726171 0.009445927 0.008455389 0.0092904465 0.008023885 0.0088545745 0.007865783 0.008690358 0.007546959 0.008349697 0.0074002123 0.008270209 0.0072473516 0.007933042 0.0068734977 0.007632561 0.00675645 0.007513766 0.006629794 0.007417682 0.0064673247 0.00697919 0.006295247 0.0069355154 0.0061825668 0.006870877 0.00594323 0.00672151 0.0057449476 0.006509252 0.0056768153 0.0063677467 0.005626153 0.006233229 0.005473292 0.0060882294 0.005358865 0.00586811 0.0051457332 0.0056977794 0.005247058 0.0055414243 0.0049570594 0.0055073583 0.004909017 0.0053850696 0.00470462 0.0053850696 0.004702 0.0050286856 0.004538657 0.005019077 0.0045552533 0.0048793186 0.004367453 0.00494221 0.0043395013 0.004732572 0.0043054353 0.0046836566 0.0040957974 0.004690645 0.0040067015 0.0044897418 0.003995346 0.004415495 0.0038381177 0.004280104 0.0038232685 0.004235556 0.0037752264 0.0041726646 0.0037324254 0.0041333577 0.0035568539 0.0040259184 0.0035682092 0.0038643226 0.0035044444 0.003907997 0.0033699267 0.0037830877 0.0032843247 0.0036878774 0.0032930595 0.0035192936 0.0032013431 0.0036040223 0.0031995962 0.0033376077 0.003129717 0.003390017 0.0030685726 0.0033638123 0.0028746575 0.0032686018 0.0028545673 0.003297427 0.0028117662 0.003065952 0.0027156824 0.0030432413 0.002699086 0.0029550188 0.0027191762 0.0028685431 0.0025890262 0.002934055 0.002520894 0.0028633021 0.0025453516 0.0028423385 0.0024894483 0.0026947185 0.002426557 0.002875531 0.0023470693 0.0026388152 0.0024562555 0.0025409842 0.0022920393 0.0025505926 0.0023016478 0.002512159 0.0021557747 0.0023907437 0.0021470399 0.002376768 0.002052703 0.002243124 0.001954872 0.002124329 0.0020107753 0.0022116783 0.0019618599 0.0022946598 0.0019164383 0.0020710463 0.0018710169 0.0019732153 0.0018352037 0.0020064078 0.0017574631 0.002015143 0.0016902044 0.0018579145 0.0016474032 0.0019260468 0.0015976144 0.00181424 0.001579271 0.0016980658 0.0015338495 0.0017723124 0.0015338495 0.0017347523 0.0014648438 0.0016657466 0.0013792417 0.0015565603 0.0014045729 0.001531229 0.0013766212 0.0015556868 0.0013320731 0.001491922 0.0013329467 0.0014333981 0.0012665613 0.0013058685 0.0011818327 0.0012665613 0.0012359892 0.0012665613 0.0011119535 0.0012281277 0.0010778874 0.001125056 0.0010691525 0.0011311703 0.0010429478 0.0011923147 0.0009844239 0.0010132492 0.0009555987 0.0010412008 0.0010106286 0.0010874958 0.00085776777 0.0010263515 0.0008874665 0.00095210475 0.0008630087 0.00094249635 0.0008123463 0.00083331 0.0012324953 0.0008254486 0.00077653315 0.0007625573 0.00072237675 0.00083068956 0.0007162623 0.00078788854 0.0006752082 0.0006900576 0.00067346124 0.000696172 0.00060794945 0.00066472637 0.0005843652 0.00058087124 0.0005773773 0.0005843652 0.000603582 0.0005380702 0.0005310823 0.00047867285 0.0005275883 0.00043150436 0.0004559621 0.0003983117 0.00041578154 0.0004087936 0.00037734795 0.0003887033 0.00033804087 0.00032319152 0.00028388444 0.00038346238 0.0002969868 0.00030921568 0.00026554114 0.00022623407 0.000281264 0.0062667863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016724835 7.431317e-06 6.1199084e-06 5.2456357e-06 7.868453e-06 7.431317e-06 8.30559e-06 5.682772e-06 1.0054135e-05 5.682772e-06 7.868453e-06 1.0928407e-05 6.9941807e-06 6.9941807e-06 1.1365544e-05 1.0054135e-05 0.0008030194 1.3988361e-05 8.742726e-06 1.7485452e-06 1.0054135e-05 5.2456357e-06 1.7048316e-05 7.868453e-06 3.0599542e-06 3.4970903e-06 3.0599542e-06 3.9342267e-06 2.6228179e-06 3.4970903e-06 3.4970903e-06 4.371363e-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 0.00072433485 1.4425498e-05 1.7048316e-05 1.2239817e-05 8.742726e-06 1.1365544e-05 1.0928407e-05 4.5899313e-05 6.9941807e-06 1.3114089e-06 4.371363e-06 4.371363e-06 3.0599542e-06 2.6228179e-06 5.2456357e-06 2.229395e-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 0.0006539559 3.0599542e-06 1.3988361e-05 9.179862e-06 8.742726e-06 1.661118e-05 1.8359724e-05 1.35512255e-05 3.5845176e-05 2.4042496e-05 2.7102451e-05 2.0982543e-05 2.4042496e-05 1.8796862e-05 6.5570443e-06 4.371363e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005337434 1.5736907e-05 2.3168224e-05 1.7048316e-05 1.2239817e-05 1.9233998e-05 2.0545407e-05 5.551631e-05 4.633645e-05 1.7485452e-05 1.9233998e-05 1.5736907e-05 1.7048316e-05 1.2676953e-05 1.9233998e-05 5.0270675e-05 0.00094246585 2.010827e-05 3.6719448e-05 2.4042496e-05 2.3168224e-05 0.00010097848 3.322236e-05 3.4096633e-05 0.0001962742 8.130735e-05 2.229395e-05 3.1473814e-05 4.2839358e-05 0.000109721215 3.6719448e-05 5.5079174e-05 0.0012882407 7.9995945e-05 6.994181e-05 7.125322e-05 6.38219e-05 6.513331e-05 9.26729e-05 6.906754e-05 0.00017922588 7.2564624e-05 5.813913e-05 6.1636216e-05 5.90134e-05 0.00026927597 9.26729e-05 9.311003e-05 0.0012021249 7.737312e-05 8.5241576e-05 8.349303e-05 7.8684534e-05 8.349303e-05 0.00010010421 7.912167e-05 0.00010753553 9.005008e-05 9.354717e-05 9.398431e-05 9.354717e-05 0.00021769387 0.00010097848 9.879281e-05 0.21406478 0.13823518 0.1082909 0.08822285 0.07376282 0.061755992 0.05218446 0.04391559 0.037099756 0.030480202 0.024749346 0.019241428 0.014264632 0.00988234 0.005869429 0.0018836203 0.0003706916 0.00023255651 0.00018928002 0.00016174043 0.00014731493 0.00012327243 0.000103164166 9.6607124e-05 7.2564624e-05 7.562458e-05 5.7701993e-05 4.6773584e-05 4.3276494e-05 3.059954e-05 2.1419679e-05 1.7922588e-05 0.0036841847 0.003453814 0.003242677 0.0036933646 0.0032011492 0.003758498 0.0036959874 0.003277648 0.0035757748 0.0034564368 0.0032059576 0.0034914077 0.0032033348 0.0035797092 0.0036374112 0.0033484641 12476.0 5.8836164 73404.0 0.018868182 0.016075417 0.01818702 0.015244401 0.016020926 0.015149038 0.017083537 0.014931066 0.016960928 0.015312517 0.015612228 0.01351425 0.015993679 0.013446134 0.015557735 0.012982944 0.01486295 0.011961201 0.014971936 0.012846711 0.014604108 0.012233666 0.01435889 0.012410767 0.013309902 0.012220043 0.0129965665 0.011334532 0.012574247 0.011538881 0.011893085 0.011007574 0.012247289 0.01069424 0.011879462 0.010408152 0.0115252575 0.010626124 0.011634244 0.010067571 0.011048445 0.010067571 0.010476268 0.009972208 0.010558007 0.009904092 0.010666993 0.009658874 0.010312789 0.0091275675 0.010585254 0.008895973 0.010707864 0.008964089 0.009536265 0.007983216 0.009590758 0.008214811 0.009468148 0.007955969 0.008977712 0.008432783 0.008487276 0.007955969 0.008759741 0.008214811 0.008718871 0.008214811 0.008010463 0.006580023 0.00841916 0.0074382867 0.007833361 0.00698872 0.007642635 0.007642635 0.007629012 0.0069478503 0.007152199 0.006293935 0.007547273 0.006471037 0.00698872 0.005953354 0.0075608958 0.006007847 0.008691625 0.0059942235 0.006620893 0.0061032097 0.0066617625 0.006375674 0.005789875 0.006239442 0.0065391534 0.0052721924 6.5153165 1.0 0.0 0.0 20.0 1144832.0 90112.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1195581200.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0071106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9874797 0.0 4.9739585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61600.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73.0 86016.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.34167355 0.009006525 0.0037450602 0.004307968 0.00644472 0.003365959 0.003101737 0.0026192446 0.005215513 0.002986858 0.001481941 0.0014245014 0.0043539195 0.002286095 0.0009305211 0.0032051282 0.0074901204 0.0028719786 0.000804154 0.0013785497 0.0018840181 0.0048479 0.0011373035 0.00060885947 0.0020793125 0.00073522655 0.0004595166 0.0009305211 0.0008271299 0.0012981343 0.00064332323 0.0011373035 0.01487685 0.0016427718 0.00068927486 0.0005858836 0.0015278927 0.0012292069 0.0009534969 0.0009190332 0.001344086 0.0015278927 0.0009649848 0.0011717672 0.0013096223 0.0014130136 0.004330944 0.0011717672 0.005272953 0.0034693503 0.0021022884 0.003492326 0.001757651 0.0015623564 0.0011373035 0.0012751585 0.0015164048 0.0018955059 0.0014589651 0.0016772356 0.0012406948 0.0011832552 0.0007926661 0.0013670619 0.014199062 0.0014130136 0.0027341237 0.0023665105 0.0034693503 0.0057669333 0.0013555739 0.0012866465 0.0016887235 0.0021022884 0.0012751585 0.00089605735 0.0015623564 0.002814539 0.0014245014 0.0011373035 0.0044687986 0.0020448489 0.003664645 0.0036876206 0.0021941918 0.0036531568 0.0043998715 0.0037335723 0.00072373863 0.00060885947 0.0017002114 0.0015623564 0.00076969026 0.0025043655 0.0017691388 0.0020793125 0.0015049168 0.006318353 0.0013555739 0.005008731 0.003515302 0.013096223 0.0038484514 0.002688172 0.006628527 0.009707288 0.00644472 0.0038024997 0.005100634 0.00429648 0.0058358605 0.007133995 0.0030557853 0.00090754527 0.0070076277 0.008799743 0.01107435 0.0049972427 0.0024928774 0.0021022884 0.0012751585 0.002561805 0.0008271299 0.0026192446 0.00064332323 0.0015623564 0.00041356494 0.00064332323 0.0051695616 0.0014245014 0.001608308 0.0037220845 0.0039977944 0.0038714272 0.0014359893 0.00044802867 0.0012751585 0.003365959 0.0011717672 0.0097417515 0.0033314952 0.0039977944 0.0012981343 0.0003905891 0.0007582024 0.0004939803 0.0014474773 0.00035612535 0.003905891 0.00065481116 0.0016772356 0.00089605735 0.0010339123 0.00059737155 0.0052270014 0.0007811782 0.005077658 0.00060885947 0.0016312839 0.00060885947 0.0017116993 0.00065481116 0.0016427718 0.0006318353 0.00067778694 0.002986858 0.0016542597 0.00035612535 0.0005858836 0.00029868577 0.001757651 0.00047100452 0.00057439576 0.0027915633 0.0018610422 0.0002527341 0.00068927486 0.00042505286 0.0014704531 0.0006318353 0.0007007628 0.0029409062 0.001746163 0.000804154 0.0014359893 0.00056290784 0.0015508685 0.00042505286 0.0008730815 0.0027456116 0.0017921147 0.00029868577 0.0061345464 0.00094200904 0.0022056797 0.00214824 0.0015968202 0.00033314954 0.0034004229 0.0031476887 0.0009994486 0.0008730815 0.00043654075 0.0014474773 0.008926109 0.0003905891 0.006846797 0.0015508685 0.00081564195 0.0006662991 0.00081564195 0.0020793125 0.0007467145 0.00036761328 0.0042849923 0.0018495542 0.0017116993 0.0003101737 0.00042505286 0.0014589651 0.0008730815 0.00047100452 0.0032625678 0.0014359893 0.002021873 0.00060885947 0.00068927486 0.0021252641 0.0011258157 0.0016312839 0.00047100452 0.0042735045 0.0025847808 0.00097647274 0.0004824924 0.0024124621 0.0014130136 0.00076969026 0.0005054682 0.004043746 0.0020563367 0.0003905891 0.0003905891 0.0011717672 0.0011373035 0.000402077 0.0010568881 0.004859388 0.0031362008 0.00057439576 0.00060885947 0.0013900377 0.0016427718 0.00090754527 0.0016542597 0.06505606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.08165923 0.00033714657 0.010445731 0.0016217913 0.002580915 0.001772926 0.025658017 0.012980144 0.00074404763 0.00080217636 0.00048828125 0.00028483072 0.0005173456 0.0002906436 0.000453404 0.002220517 0.077927366 0.0007556734 0.006045387 0.0011858259 0.0055512926 0.0034993489 0.0144508 0.008120582 0.0021216983 0.0026564826 0.00097074965 0.00088355655 0.00113351 0.0008719308 0.00086611795 0.003912063 0.027186802 0.0010230655 0.0016741072 0.005958194 0.0016624813 0.0008312407 0.0021740142 0.0012904576 0.0010753813 0.00056966144 0.0007324219 0.00045921688 0.0008951823 0.00052315847 0.00071498327 0.00084867934 0.043805804 0.0014590309 0.0017031715 0.0011567615 0.002586728 0.0020984467 0.007080078 0.0044817245 0.0029180618 0.0036330451 0.0025053478 0.0015694754 0.00273205 0.0020345051 0.0024879093 0.012985956 0.041457403 0.0018019903 0.002232143 0.0059698196 0.0040108818 0.0023716518 0.0068301247 0.0043422156 0.003679548 0.0062139602 0.004278274 0.0035981678 0.006981259 0.003447033 0.0035632905 0.018269857 0.03651065 0.001546224 0.0014299665 0.0016276041 0.0033017113 0.0023251488 0.0057838075 0.005126953 0.0032958984 0.005272275 0.0036562965 0.003970192 0.00558617 0.004441034 0.0042550224 0.019013904 0.058803014 0.012032645 0.004592169 0.0045282273 0.016409738 0.016398111 0.012230283 0.0069289436 0.020222982 0.003952753 0.003045945 0.004737491 0.01495652 0.0059116906 0.009126209 0.020408994 0.021786645 0.0076962425 0.004801432 0.0058361236 0.0075683594 0.008265904 0.008347284 0.005353655 0.010282971 0.0013020834 0.0017206101 0.0021972656 0.0075683594 0.0026913597 0.0035749164 0.008149646 0.006045387 0.0024181549 0.0025634766 0.0032028924 0.0018426804 0.0020577568 0.003999256 0.002499535 0.0019880023 0.001273019 0.001453218 0.0013485863 0.0011276972 0.0014125279 0.0011276972 0.0013543991 451.0 12.620843 5692.0 0.014230499 0.002108222 0.0015811665 0.0012297962 0.0022839073 0.001932537 0.0015811665 0.003865074 0.0015811665 0.0028109627 0.0024595924 0.003162333 0.0026352776 0.007203092 0.023893183 0.009311314 0.026001405 0.016163036 0.01633872 0.014406184 0.011595221 0.011243851 0.0068517216 0.007554462 0.009135629 0.007203092 0.005973296 0.003865074 0.00509487 0.0036893885 0.005973296 0.0068517216 0.041286014 0.00509487 0.009662684 0.017568517 0.017392833 0.010014054 0.0054462403 0.009311314 0.0033380182 0.009486999 0.002108222 0.0005270555 0.005270555 0.006324666 0.004919185 0.0036893885 0.0079058325 0.002986648 0.0065003512 0.018622627 0.0130007025 0.003865074 0.00983837 0.018095573 0.0015811665 0.0017568517 0.0047434997 0.001932537 0.002108222 0.0015811665 0.001054111 0.0070274067 0.0028109627 0.028285313 0.0057976106 0.025474349 0.010716796 0.063070975 0.003865074 0.016163036 0.011243851 0.041988757 0.0036893885 0.009311314 0.02582572 0.020730851 0.028812367 0.03566409 0.016690092 0.0017568517 0.027231202 0.030217849 0.041988757 0.008257203 0.008959943 0.010365426 0.005973296 0.0065003512 0.004216444 0.003865074 0.00087842584 0.0033380182 0.001932537 0.0005270555 5.945929 0.0 13.0 0.0 2.0 87048.0 94208.0 1.0 25.0 95.0 1.0 1.0 1.0 0.0 0.0 1296488400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 4.0 0.0 37376.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -37376.0 0.0 37888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0837207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.808332 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7774806 0.0 4.501208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2546.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37227.0 0.0 37488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 891.0 40432.0 180.0 38140.0 37488.0 49152.0 0.0 0.0 7176.0 79872.0 1616.0 90112.0 28.0 4512.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 17304.0 0.0 0.0 412.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.1758943 0.02820257 0.0076114438 0.005436071 0.007605545 0.0034282168 0.0058330414 0.004511184 0.013029819 0.0026885432 0.0025888581 0.002243795 0.008746908 0.0041165734 0.00174773 0.006033001 0.006064263 0.0066063367 0.0020161124 0.00182677 0.0037980538 0.0054402 0.002613042 0.0051564816 0.0030111917 0.0020184717 0.001246946 0.001688155 0.0030218093 0.0016055758 0.002101051 0.0013200876 0.0042386726 0.0010092359 0.0012321997 0.0018332584 0.0020668397 0.0017494995 0.0011808827 0.0010281111 0.0022054547 0.0009360943 0.0013955886 0.001584341 0.002101641 0.0015990874 0.0013401426 0.0016303496 0.0030725363 0.0014197725 0.0011384133 0.005707403 0.002438446 0.0016338886 0.0015495399 0.001386151 0.0020703787 0.0032194094 0.0009950794 0.004111265 0.0015229966 0.0015961381 0.0011112802 0.0012705401 0.003642333 0.0022496935 0.0016686899 0.0022154823 0.0027056488 0.01052354 0.0040151193 0.0017801718 0.0023287337 0.0022679789 0.0010481661 0.0011283859 0.0020196515 0.005303355 0.0024944819 0.001715878 0.0109871635 0.0041673006 0.0025428499 0.005664344 0.002069789 0.0056277732 0.0057640285 0.0067726746 0.0019494592 0.0022166618 0.0009614579 0.0022945222 0.0021270046 0.0038617577 0.004016299 0.003726092 0.0019512287 0.0026826446 0.0010770689 0.0021907084 0.0021665245 0.0057681575 0.0038481911 0.002335222 0.00603772 0.0029085577 0.0054402 0.0011561089 0.0025918074 0.0014763983 0.0030288873 0.0030796146 0.0024567314 0.0010894557 0.0034936904 0.0038381636 0.01127855 0.010765379 0.0030088325 0.0022585413 0.0021547275 0.001342502 0.00092429726 0.0010469864 0.0025198455 0.0035220033 0.001962436 0.0018987319 0.004949444 0.002664359 0.001040498 0.007896342 0.0026295579 0.009580368 0.0024673487 0.0011496205 0.0024478836 0.009167472 0.0013419121 0.02990842 0.0018715988 0.010333608 0.0014498549 0.00092134805 0.001334244 0.0010617326 0.0007443926 0.0009154495 0.0013537091 0.0010599631 0.0010357792 0.0010369589 0.001715878 0.0022579515 0.00091367995 0.00079806906 0.0014309797 0.0017034911 0.0014970431 0.0012027072 0.0018255904 0.0015064807 0.0009142698 0.0009821027 0.0014303898 0.0017565778 0.00089539454 0.0011071513 0.0016073453 0.00091014087 0.0015636963 0.0012640518 0.0013100601 0.0008434876 0.0008511557 0.0011390032 0.001684026 0.00082638196 0.0008847772 0.0014327492 0.0013389629 0.0019164275 0.0015235863 0.0010870963 0.0020715585 0.001076479 0.00083346013 0.001862751 0.0013696351 0.0012805676 0.001580802 0.0015206372 0.008096891 0.001938252 0.003530851 0.0027964858 0.001640377 0.00087239034 0.0022060445 0.0037980538 0.0023021903 0.0028525218 0.00096381735 0.0013430918 0.0212087 0.000730826 0.0023322727 0.0016297597 0.0017146983 0.0012080158 0.001275259 0.0013767134 0.0017748631 0.0009815128 0.0015678252 0.0020167022 0.0024543721 0.0013891002 0.0009189886 0.0020314485 0.001835028 0.0051057544 0.0012227622 0.0014504448 0.0025310528 0.0014769881 0.0011213077 0.0011584683 0.0022697486 0.00097502454 0.0015247661 0.0012546141 0.012369775 0.0024366765 0.0010983035 0.0044563278 0.0062134955 0.0012298403 0.0011496205 0.0013548889 0.0038835823 0.0025080484 0.0016816666 0.0016091148 0.0029569254 0.001346631 0.0033273522 0.002470298 0.005147044 0.0024726575 0.0018462351 0.002792357 0.006018255 0.0041826367 0.003948466 0.068760164 0.0036042477 2.3321776e-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 0.0022344624 0.00013786418 7.675521e-06 1.1808495e-06 3.7196758e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0186103e-05 0.0005544088 0.0033037215 0.00013668333 4.487228e-05 1.0037221e-05 6.3175445e-05 5.609035e-06 5.609035e-06 6.494672e-06 6.494672e-06 6.494672e-06 6.7898845e-06 6.494672e-06 7.0850965e-06 6.494672e-06 6.1994597e-06 5.3138224e-06 0.0036505961 0.00027779484 7.1146176e-05 3.129251e-05 1.15132825e-05 3.0702085e-05 8.856371e-06 9.446796e-06 2.9521236e-05 9.446796e-06 1.8007955e-05 7.970734e-06 9.446796e-06 8.82685e-05 0.0012517005 0.00054023863 0.0034678597 9.0630194e-05 1.2694131e-05 1.4465406e-05 5.5795135e-05 1.3874981e-05 3.4244633e-05 2.3912202e-05 5.9337686e-05 1.4465406e-05 2.3616989e-05 3.1587722e-05 2.8045175e-05 2.9521236e-05 2.9226025e-05 0.00030288787 0.010601962 0.0019103192 0.00025004486 0.00019247846 0.00010007699 0.00013314077 0.00019867792 0.000117789736 0.00019690665 4.5167493e-05 7.40983e-05 4.3396216e-05 4.6643552e-05 4.9595677e-05 3.631112e-05 0.0011182644 0.022185208 0.0025742517 0.00044340896 0.0008909509 0.0005358104 0.00054466684 0.0005992811 0.00039086118 0.0008026824 0.00017506094 0.00021078163 0.0001721088 0.00016413808 0.0003843665 0.0005423051 0.001427647 0.015369346 0.0010816581 0.0008567063 0.000668656 0.0008360414 0.0005614939 0.0017562184 0.0011471952 0.00039292764 0.0001815556 9.9191355e-05 8.265946e-05 0.00011277112 7.3803094e-05 0.00013963545 0.0014285326 0.030579869 0.0012499292 0.001576434 0.002274316 0.002308856 0.0017618274 0.0060725184 0.0038507502 0.0006385443 0.0004416377 0.0003719676 0.00027011932 0.000396175 0.0008587728 0.00056474126 0.001801681 0.019255226 0.0015336282 0.001520934 0.0017125269 0.0037211517 0.0027050308 0.0066340123 0.003872891 0.0006155178 0.00053817214 0.00046436905 0.00059308164 0.00059367204 0.0016118595 0.0017175456 0.003091759 0.011750928 0.0010113976 0.0009051211 0.00084637385 0.0012224744 0.0011492617 0.0020673722 0.0014500831 0.00073862134 0.00061522255 0.0006208316 0.00049802323 0.0005972146 0.0012018095 0.0011321395 0.002609087 0.01679345 0.0022737256 0.0013789369 0.0015489793 0.0021760103 0.0022323958 0.0025394168 0.0020915796 0.0014565778 0.0014075725 0.0011271208 0.0012224744 0.0012156845 0.0026459885 0.0014571683 0.0043821326 0.013177984 0.0029358868 0.0013963545 0.001866923 0.0029462194 0.0034672692 0.0033146443 0.0028859961 0.0025969832 0.0016210111 0.0013951736 0.0016224872 0.0017137078 0.0025376454 0.0017839683 0.0061283135 0.08667612 0.019899676 0.009347014 0.012909046 0.018505093 0.033630297 0.01260852 0.022058267 0.056309987 0.0063060313 0.0062112682 0.008110665 0.034828566 0.008714965 0.020386776 0.063691184 0.028454633 0.009000435 0.0043700286 0.006113553 0.0090388125 0.01339349 0.00634618 0.009995596 0.020166546 0.0036821838 0.0041988054 0.0043543824 0.013036578 0.005006802 0.008532523 0.021782244 0.008323513 0.005426003 0.004933589 0.0051668067 0.0055405456 0.0051547033 0.005466447 0.0056515457 0.005892439 0.0050342563 0.0050918227 0.00528932 0.005543498 0.0051381714 0.005028352 0.006194441 7212.0 13.048669 94107.0 0.023090737 0.0019339687 0.0055362512 0.012804573 0.0036447872 0.012847078 0.0025927932 0.0024015217 0.003836059 0.0034641419 0.0069070314 0.0038041803 0.007055798 0.00274156 0.009297927 0.0066520027 0.008065287 0.0053874846 0.0033578798 0.009510451 0.008777243 0.004133593 0.004218602 0.0052918484 0.004059209 0.010881231 0.0029115793 0.012708938 0.0036979183 0.004261107 0.0037723018 0.0023590168 0.006216328 0.0117313275 0.006003804 0.0111256335 0.012634554 0.018797752 0.011380662 0.01043493 0.008139671 0.022761324 0.005514999 0.0053981105 0.013920325 0.013633417 0.01387782 0.013612165 0.015174217 0.008989767 0.016576875 0.021294909 0.013495277 0.011115007 0.011146886 0.032314282 0.008150297 0.0054512415 0.0037935541 0.0031453557 0.005993178 0.007863389 0.008267186 0.020667963 0.008968514 0.020211037 0.005621261 0.013729054 0.012921462 0.04180348 0.012878957 0.014239111 0.014834178 0.022453165 0.0048136697 0.009691096 0.017575739 0.008904757 0.024525274 0.023813318 0.012039487 0.0043461164 0.023494532 0.022878213 0.03608658 0.011561308 0.0082884375 0.010148023 0.007576482 0.008150297 0.0031559821 0.002040231 0.0037510493 0.0025077837 0.003315375 0.00304972 6.2460656 0.0 6.0 0.0 6.0 1695342.0 1716224.0 1.0 0.0 649.0 0.0 1.0 0.0 0.0 0.0 1208111600.0 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 -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 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 1113600.0 1536.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1113600.0 0.0 573952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8793879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.538236 0.0 6.4920354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1113222.0 0.0 573728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 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 1.0 1.0 2.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 -1.0 2.0 -1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 2.0 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 -1.0 0.0 1.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 -1.0 -4.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 1.0 -3.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 3.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -3.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 -1.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 3.0 1.0 0.0 -1.0 2.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 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 1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 2.0 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 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 3.0 -1.0 0.0 -1.0 -2.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 1103192.0 573728.0 1138688.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 6880.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 217280.0 448.0 592.0 2784.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.28677985 0.027197298 0.03227517 0.010032018 0.016662795 0.006615627 0.024682349 0.009035886 0.006435086 0.0043456084 0.028111365 0.006988072 0.0032762503 0.00221573 0.002059177 0.0014519029 0.0022599185 0.005811399 0.0047193156 0.0045349873 0.0016614819 0.0016122435 0.005158674 0.0038254485 0.0018129848 0.001977113 0.0018773736 0.0018091972 0.0018079347 0.0014253899 0.0047470913 0.0050488343 0.011760414 0.0016753697 0.0030426835 0.0028671925 0.0014632656 0.00338609 0.002393746 0.0014203398 0.009932279 0.0017927844 0.0049162693 0.0036714205 0.0038115606 0.0011564723 0.0029000181 0.0010946086 0.004680177 0.0018622233 0.0024101587 0.0017094578 0.0013862516 0.0023684956 0.0012536866 0.001642544 0.0020553896 0.0014948287 0.00090775493 0.0013420633 0.0008812419 0.001796572 0.0013256505 0.00067797553 0.0020452894 0.00377621 0.0032648877 0.006738092 0.00403124 0.002783866 0.0018458104 0.0018963114 0.0024139464 0.0045450875 0.0016943075 0.0018963114 0.006276008 0.002648776 0.002793966 0.0021210408 0.004726891 0.00086104154 0.003571681 0.004086791 0.003696671 0.0013711014 0.0021879545 0.0012524241 0.001114809 0.0012296987 0.00081559067 0.0007171138 0.0010680956 0.0010655705 0.0012423239 0.004269857 0.0011804602 0.0076521593 0.0029580942 0.0059881527 0.0039125625 0.01596967 0.001876111 0.003362102 0.0023647079 0.007720336 0.0021917422 0.0024303591 0.0067949053 0.004792542 0.008285946 0.032608476 0.010590053 0.0015693177 0.015126303 0.01460993 0.0132274665 0.004303945 0.0023823832 0.0012852497 0.0019215619 0.0026954892 0.00090396736 0.0051043853 0.0012322237 0.0038607991 0.0021538665 0.00062747457 0.002916431 0.0018407603 0.001167835 0.0010567328 0.0008181157 0.00063126214 0.0005807612 0.0006666128 0.0007650897 0.0009645685 0.00086230406 0.00089386717 0.0017258707 0.0013647887 0.00073605165 0.00089891726 0.0006805006 0.0011653099 0.00063757476 0.00085725397 0.0006704004 0.0011615223 0.0006299996 0.0011564723 0.0007322641 0.0008118031 0.000886292 0.0007852901 0.0008029654 0.00074110174 0.00076130213 0.00084589125 0.0009254303 0.0010781958 0.002499798 0.00073100155 0.0006451499 0.00080422795 0.0006451499 0.00082442834 0.0007246889 0.00085725397 0.00051763497 0.0041625425 0.0011564723 0.0008080155 0.0007499394 0.0008181157 0.00074110174 0.00094563066 0.0007221639 0.0012069732 0.0008320035 0.00066787534 0.0006603002 0.00071080116 0.0007171138 0.0008686167 0.0006590377 0.001093346 0.00064767495 0.0008029654 0.00086735416 0.00075246446 0.0012044482 0.0012094983 0.0006022241 0.0005984365 0.00095573085 0.00068933825 0.00071585126 0.00086609164 0.0007815025 0.0007499394 0.0007852901 0.0006855507 0.0007070136 0.0006350497 0.0006805006 0.000703226 0.00086230406 0.0009569934 0.00061106175 0.0010390575 0.00057949865 0.0005832862 0.0009910816 0.0006704004 0.0006906008 0.0010554703 0.00071080116 0.0009254303 0.0008850295 0.0009532058 0.0015188167 0.0006931258 0.0010756707 0.0014014019 0.00077266485 0.0013736264 0.00086104154 0.0008231658 0.00085220387 0.0012347487 0.0008105406 0.0009582559 0.0006805006 0.0017978345 0.0009216427 0.0007448893 0.00074110174 0.00083074096 0.0007663522 0.00086735416 0.00078402756 0.001719558 0.0008534664 0.0010441076 0.00075751456 0.00081937824 0.0017233456 0.0007385767 0.0006868132 0.00082064077 0.0007815025 0.00085725397 0.0023634455 0.001117334 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010853505 8.222352e-06 1.0752307e-05 3.35219e-05 1.1384796e-05 8.538597e-05 3.0991945e-05 1.0119818e-05 6.3248865e-07 8.222352e-06 1.2649773e-06 6.3248865e-07 6.3248867e-06 1.2649773e-06 0.0 1.2649773e-06 0.01281928 6.198389e-05 0.0002447731 0.0004130151 0.00070016494 0.00013725004 0.0011808564 0.0001448399 0.0003681084 2.7197013e-05 0.00010372814 0.00045981925 3.794932e-05 1.5179728e-05 8.2856015e-05 4.237674e-05 0.012659893 0.00021567864 0.0006400785 0.0003402789 0.00047626396 0.00024603808 0.00083488505 0.00031371438 0.00022390099 6.451384e-05 0.0001448399 0.0003282616 9.740325e-05 2.340208e-05 0.000116377916 0.00011384796 0.01665469 0.0006476684 0.0015888115 0.0004073227 0.005487472 0.005465967 0.028456297 0.016833054 8.854841e-05 0.000104993116 5.755647e-05 0.00010372814 3.4786877e-05 5.186407e-05 0.00012396778 0.0003181418 0.18548237 0.012394248 0.020550821 0.0056190295 0.019310512 0.010883233 0.04354368 0.02930826 0.0019006284 0.0015458023 0.0014895108 0.0011485994 0.0013528933 0.0016887448 0.0019923393 0.002462911 0.14203039 0.017422533 0.01573948 0.00739063 0.009699847 0.0063052797 0.020221295 0.019166937 0.0046899035 0.0029404399 0.0036949988 0.0025229973 0.0025457668 0.003383182 0.0030176034 0.0034774228 0.06814812 0.009357037 0.010424046 0.0048385384 0.005081414 0.0031510585 0.007220491 0.0077150967 0.00349197 0.002261147 0.0035931682 0.0019411077 0.0021346493 0.00307263 0.00265329 0.0022219326 0.021080848 0.004481182 0.0018943036 0.002738676 0.0040517226 0.0012959692 0.0018993635 0.0015034255 0.0015432723 0.000919006 0.0036342798 0.0008197053 0.001037914 0.00044969944 0.0020884776 0.0023756274 0.0028183695 0.00075013156 0.00058694946 0.000724832 0.0005648124 0.0004572893 0.0005274955 0.0005173757 0.00057366723 0.00017899429 0.00041428008 0.00017772932 0.0001897466 6.388136e-05 0.0002232685 0.00029853464 0.0005274955 5.4394026e-05 0.00030485954 0.00032067177 0.00017456687 0.0002624828 0.000949998 0.0006192064 6.9573754e-05 8.159104e-05 7.463366e-05 0.000104993116 8.791593e-05 7.589864e-05 8.981339e-05 8.791593e-05 0.00017519935 4.6171674e-05 9.8668235e-05 8.665095e-05 9.107837e-05 8.538597e-05 0.00020998623 0.00015116479 4.9966606e-05 4.680416e-05 3.668434e-05 5.0599094e-05 4.680416e-05 2.846199e-05 4.743665e-05 4.4274206e-05 0.0040403376 0.004717733 0.005255981 0.0048967274 0.0051781847 0.004944164 0.0051086107 0.005412838 0.0049150693 0.0051718596 0.004736075 0.0052572456 0.0050187977 0.0048973598 0.0054741893 0.005285708 5199.0 15.945951 82903.0 0.0033533166 0.00025330807 0.000373931 0.00088054716 0.001206229 0.00019299664 0.00031361953 0.000373931 0.00031361953 0.00026537039 0.00026537039 0.00031361953 0.002907012 0.00158016 0.008371229 0.00015680977 0.013931945 0.0057295877 0.0047525424 0.0043906732 0.0050540995 0.004487172 0.0036428114 0.003908182 0.0037634345 0.003956431 0.0002291835 0.00027743267 0.00032568182 0.0026054545 0.00019299664 0.00039805556 0.0002412458 0.012291473 0.011555674 0.017273199 0.013075522 0.0060914564 0.0064292005 0.0058381483 0.004137365 0.010759562 0.0003618687 0.0016766583 0.0058863973 0.005331532 0.0029793854 0.0027019528 0.015765412 0.000373931 0.01116968 0.01548798 0.01132649 0.0026416415 0.003920244 0.001954091 0.00100117 0.000832298 0.0003618687 0.0002291835 0.00050661614 0.0002291835 0.00018093435 0.02981798 0.00032568182 0.038900886 0.014872803 0.031325765 0.02018021 0.102855146 0.006791069 0.01843118 0.008757222 0.039914116 0.0012544781 0.008757222 0.040432796 0.025825363 0.042230077 0.04572814 0.016838957 0.0048007914 0.046234757 0.057452686 0.08537689 0.025065439 0.008238544 0.004571608 0.009517146 0.012110539 0.0008443603 0.0001206229 0.00042218014 0.00019299664 0.00030155724 0.00013268519 5.283652 1.0 0.0 0.0 1.0 792064.0 819200.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1543787500.0 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 -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 80.0 0.0 4.0 0.0 4.0 0.0 790016.0 512.0 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 -790016.0 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 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.883528 0.0 3.199673 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 -790008.0 0.0 940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 795584.0 940.0 802816.0 0.0 0.0 0.0 0.0 12.0 811008.0 28.0 795272.0 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: 0.64649534 0.0032024009 0.0019474671 0.0015827178 0.002512885 0.0013560224 0.0013348995 0.0013518733 0.0033016035 0.0011251781 0.0010531334 0.0011123533 0.002493648 0.0011055638 0.0009637378 0.0026946939 0.002399349 0.0011900559 0.00092224614 0.0009399744 0.0016475955 0.001184398 0.0010222034 0.00093544804 0.0013507417 0.0010090014 0.00090338633 0.0009663782 0.0012002402 0.0008690614 0.00087735977 0.00092149177 0.001615911 0.000870193 0.00096072024 0.0009478955 0.001554428 0.0009226234 0.00086566666 0.0009731677 0.0010885899 0.0008196486 0.00085284194 0.0011874156 0.0010267297 0.0012696444 0.00093205326 0.00082719256 0.0014793659 0.0011519591 0.0011696873 0.002075714 0.0012406002 0.0011029234 0.0010625634 0.0010889672 0.0013522505 0.0013548909 0.0012292843 0.0016947452 0.0012824691 0.0012473898 0.0010659582 0.0015710247 0.0017328421 0.0011945822 0.0013315047 0.0012319247 0.0012270212 0.005669268 0.0025962456 0.001619683 0.0013371627 0.00094035163 0.0010380456 0.0008709474 0.0010437035 0.004072217 0.0009652466 0.00089093886 0.0027361854 0.0016487272 0.0012032578 0.0012786972 0.0010950023 0.0029466613 0.001579323 0.0014182599 0.001052379 0.0015250066 0.00083737687 0.001019563 0.00099844 0.0017075699 0.0011787399 0.0011896787 0.0010048522 0.0012896359 0.00093167607 0.0010071155 0.0014382513 0.0015423577 0.0015385858 0.0009512903 0.0021092845 0.0011881699 0.0017535879 0.00094563235 0.0013424434 0.0009886328 0.0011745908 0.0012089157 0.0012323019 0.0008592543 0.0014231635 0.0013873298 0.0028395376 0.0032808578 0.0010644493 0.0009942908 0.0010742565 0.00094751833 0.00087471935 0.00085133314 0.0010663354 0.0013884614 0.0009614746 0.0010365368 0.0014167512 0.0010421948 0.0008856581 0.0039473646 0.0014424005 0.002700729 0.0008667982 0.0008124819 0.0012500301 0.0045527653 0.0011470554 0.0106422305 0.0010097558 0.0037293448 0.00083398214 0.00079022726 0.001063695 0.00084077165 0.00082228903 0.0008732106 0.00094714115 0.0011802488 0.00084039447 0.0007792886 0.00094374636 0.00083737687 0.0008132363 0.0008045608 0.0010252208 0.0008856581 0.000824175 0.0008769825 0.0010768968 0.0010576599 0.0008535964 0.00089961436 0.000985238 0.00086453505 0.00079663965 0.00079550804 0.0010172997 0.00082078023 0.0008298329 0.0008283242 0.0009260181 0.0008317189 0.00080380635 0.0008128591 0.0010463439 0.00081927143 0.000843412 0.000776271 0.000967887 0.0008916932 0.0012526705 0.0009735449 0.0013284871 0.00093016727 0.00088603527 0.00084190327 0.0010708617 0.00095770264 0.00094563235 0.0009286585 0.002451402 0.0014721991 0.0013575313 0.0017185085 0.001757737 0.0009867469 0.0014601288 0.0019195544 0.0014608832 0.0012153281 0.00091055303 0.0010252208 0.004253271 0.0008618947 0.00098901 0.00094563235 0.001332259 0.0009516675 0.0009999487 0.00088603527 0.0010897216 0.00082870136 0.00093507086 0.00086491223 0.0013843123 0.000937334 0.0007989028 0.00093393924 0.0011398887 0.000969773 0.0008332277 0.0008483156 0.0014344794 0.00093356206 0.00088641245 0.0008698158 0.00130925 0.0011545994 0.0008351137 0.0008230434 0.0049129883 0.0014593744 0.0008962196 0.0018890016 0.0023782258 0.000824175 0.0008871669 0.0008871669 0.00205874 0.0009535535 0.0009226234 0.00094563235 0.0015895073 0.00083964004 0.0013250924 0.0011263096 0.0019082386 0.0010784057 0.0009954224 0.0010071155 0.0026388688 0.0013439521 0.0020312048 0.012516521 0.6143655 3.7734253e-07 1.1320276e-06 1.8867127e-07 1.8867128e-06 3.7734253e-07 9.433564e-07 0.0 0.0 0.0 0.0 0.0 1.8867127e-07 1.8867127e-07 1.8867127e-07 3.0187402e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00031149626 1.0565591e-05 1.4716359e-05 3.0187402e-06 7.924194e-06 4.716782e-06 1.4339016e-05 6.414823e-06 2.075384e-06 1.6980414e-06 1.1320276e-06 1.5093701e-06 3.7734253e-07 0.0 1.8867127e-07 6.226152e-06 0.0031753376 7.4713826e-05 0.00011471213 2.8489361e-05 0.00028583698 5.301663e-05 0.00024734804 9.339228e-05 1.77351e-05 6.377089e-05 1.3206989e-05 1.3961674e-05 1.8112441e-05 1.5471045e-05 2.075384e-05 0.00040092645 0.0040586963 0.00017018149 0.00018036974 7.377047e-05 0.00041186938 6.678963e-05 0.0002928178 0.00014716359 3.3017473e-05 5.358264e-05 2.9998731e-05 2.9432718e-05 3.848894e-05 5.0186558e-05 9.1505564e-05 0.0004545091 0.0025721553 9.961843e-05 0.00021583993 4.320572e-05 0.00032998604 0.00011716486 0.0005852583 0.00031602438 2.4527266e-05 4.0941664e-05 3.697957e-05 3.7734255e-05 1.9999155e-05 3.113076e-05 2.7734677e-05 0.00013848471 0.0037349365 0.00016829478 0.00033734425 0.00018338847 0.0008503414 0.00026753586 0.0012669276 0.00063714286 8.037396e-05 0.00010546724 9.282627e-05 6.282753e-05 5.0752573e-05 6.226152e-05 6.4714244e-05 0.00014923897 0.0016625712 6.528026e-05 0.00021716063 0.000119994926 0.00045790517 0.0001845205 0.00066770765 0.0004656407 5.9997463e-05 4.8299844e-05 4.188502e-05 4.5469777e-05 3.245146e-05 3.3017473e-05 5.8865437e-05 8.961885e-05 0.0021704743 0.00037187108 0.0004148881 0.0037270123 0.00062223786 0.00040337918 0.000696763 0.00049035664 0.0004254537 0.00025338551 0.00027413937 0.00026621515 0.00047790434 0.00025847965 0.00030168536 0.00043771736 0.003824744 0.0004203596 0.00032432593 0.00048752656 0.001962936 0.0011924024 0.00045582978 0.00044545287 0.004050395 0.00032923138 0.00023357503 0.00035828675 0.001570311 0.0004197936 0.0012480605 0.003542303 0.015169548 0.0024678202 0.0015508778 0.0021095334 0.0066880193 0.0049420553 0.0021106654 0.0030340226 0.012400797 0.0008529828 0.00085015275 0.0015103135 0.0067114145 0.0015133322 0.004969224 0.009239798 0.010463143 0.0025751742 0.001447486 0.0022874505 0.004143787 0.0041958606 0.0019838784 0.0036438082 0.008158901 0.0006546893 0.0007475156 0.0011808935 0.0038668178 0.0014708813 0.0036030554 0.006763676 0.012159109 0.011915723 0.011890252 0.012050811 0.012001568 0.011989305 0.012088546 0.012004964 0.011824972 0.011953268 0.011880442 0.011956665 0.011998738 0.011882517 0.011998549 0.012058359 3824.0 9.179916 35104.0 0.023216728 0.0043869643 0.004329991 0.004671832 0.012762078 0.0054409755 0.0052415677 0.006779854 0.0069792615 0.004443938 0.004301504 0.0059822244 0.006409526 0.008033273 0.009657019 0.0048997267 0.014927073 0.011992935 0.01310392 0.011822015 0.012676618 0.011423199 0.012277803 0.011850501 0.014300365 0.013958523 0.014955561 0.012078396 0.01469918 0.009172744 0.010198268 0.017661804 0.027575206 0.009286691 0.0048997267 0.0075205103 0.009144257 0.007064722 0.00734959 0.0069507747 0.007093209 0.00583979 0.0049567 0.004586372 0.0076629445 0.0056973565 0.0054409755 0.0047572926 0.013702142 0.0056973565 0.0059537375 0.0086884685 0.00831814 0.006409526 0.011366226 0.0084320875 0.008061759 0.005640383 0.0050421604 0.0045009116 0.0067228805 0.0059252507 0.0050421604 0.013331814 0.00734959 0.025267776 0.01071103 0.016493848 0.019712852 0.03592183 0.009941887 0.0086884685 0.010824977 0.020453509 0.0064664995 0.005583409 0.017775752 0.010682544 0.01902917 0.026692115 0.011765041 0.0050136736 0.025125341 0.02221969 0.036690976 0.012876025 0.008204193 0.0054409755 0.00911577 0.0083466275 0.005611896 0.004187557 0.0067513674 0.004358478 0.0041305833 0.0052700546 6.339592 0.0 0.0 0.0 10.0 2651136.0 2662400.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541768000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 392704.0 1024.0 4096.0 5.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392704.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5791826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.7866693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.813267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4921517 0.0 3.8890173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2222564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -392648.0 0.0 3176.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 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 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 -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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2618008.0 3176.0 2637824.0 0.0 0.0 0.0 0.0 18512.0 2641920.0 28.0 458080.0 0.0 0.0 0.0 0.0 24.0 458272.0 64.0 458112.0 0.0 0.0 328.0 397312.0 0.0 0.0 0.0 0.0