Input: 0.05678439 0.008311252 0.0061740433 0.0056594536 0.005753864 0.0049612294 0.0041986816 0.0054260204 0.0050546024 0.0056324787 0.0037494528 0.0044684266 0.0049529294 0.003172614 0.004324217 0.004644798 0.005048378 0.0037702024 0.0049352925 0.0041592573 0.0043501537 0.0031788386 0.004109458 0.0038459385 0.0050753523 0.003347948 0.0031612015 0.002932956 0.0041509573 0.0034382087 0.003786802 0.0037878396 0.0061688563 0.0038158514 0.003481783 0.0030284042 0.0048969057 0.0041665197 0.0038376385 0.0037224782 0.004729871 0.003892625 0.0033292733 0.0030968778 0.004368828 0.0037276656 0.0037214407 0.0035824184 0.0055256183 0.0039393115 0.00310829 0.0029028691 0.0036726792 0.0030688657 0.0026818858 0.002872782 0.0041685947 0.0033137111 0.003525357 0.0033593602 0.00400156 0.0032193004 0.0034994201 0.0034579209 0.006602523 0.003942424 0.0036166552 0.003222413 0.0041571823 0.0032265629 0.0035440316 0.003064716 0.005003766 0.0037743521 0.0036996538 0.0035886434 0.0041291704 0.0031248897 0.0035658188 0.0034631083 0.005165613 0.0036270302 0.003652967 0.0033365358 0.0039310115 0.00337181 0.0033583227 0.0035367694 0.004648948 0.0036457048 0.0038096267 0.0035087573 0.0041146455 0.0033884097 0.0036840914 0.003790952 0.0059125987 0.0036280677 0.0033406855 0.0029578556 0.0040088226 0.003050191 0.0032628747 0.0030263292 0.0049830163 0.0031632765 0.0031964758 0.003050191 0.003575156 0.0028281705 0.0030844281 0.003194401 0.004510963 0.0032950365 0.0032244879 0.0031446018 0.0038915875 0.0033271983 0.003291924 0.0036280677 0.0046240482 0.0032908865 0.0034807455 0.003174689 0.004032685 0.0031933635 0.0034682956 0.003343798 0.008656733 0.0046043363 0.00400986 0.003525357 0.0043636407 0.0034288715 0.0030201043 0.0033915222 0.0045420877 0.003832451 0.0029516306 0.003190251 0.0037276656 0.0027949712 0.0028447702 0.00298483 0.005235124 0.0032099632 0.0034942327 0.0030252917 0.0036623045 0.003184026 0.003300224 0.0032607997 0.004548312 0.0028364703 0.0030377414 0.0027067852 0.0035191323 0.0032234504 0.002986905 0.0031487518 0.005015178 0.0034050094 0.003270137 0.0027960087 0.0037795396 0.003006617 0.0030553786 0.0031850636 0.004138508 0.003000392 0.0031238522 0.0030097296 0.0036457048 0.0028333578 0.0029173938 0.0030273667 0.00466451 0.0031114025 0.0038459385 0.002855145 0.0035647813 0.0031446018 0.0029837925 0.00312074 0.0042515933 0.0031435643 0.0033375733 0.0031767637 0.0036467423 0.003186101 0.0033282358 0.0033489855 0.0067249453 0.0040596593 0.0037224782 0.0033344608 0.004115683 0.0032524997 0.0033033362 0.0032255254 0.0043262914 0.0033313483 0.0031176275 0.0030937654 0.0036498546 0.0029817175 0.0030761282 0.0027960087 0.0042432933 0.003270137 0.0030854656 0.0029952049 0.0037162534 0.0030242542 0.002935031 0.0029443682 0.003978736 0.0031114025 0.0027244224 0.002635199 0.003529507 0.0029433307 0.003579306 0.002885232 0.0049550044 0.003233825 0.0033987844 0.002978605 0.0038065142 0.0030740532 0.0031933635 0.0029059814 0.0044414517 0.0054550697 0.0034641458 0.0031321521 0.0038002892 0.0030854656 0.0032452375 0.0031871386 0.0046157483 0.0033178611 0.003415384 0.003034629 0.0037390778 0.0030823532 0.0033137111 0.0032452375 0.0043470412 0.003032554 0.0031912886 0.0028634449 0.004011935 0.0030896154 0.0042246184 0.004523413 0.011692777 0.0 0.0 0.0 0.0 0.0 1.0388962e-06 3.1166887e-06 0.0 1.0388962e-06 2.0777925e-06 0.0 0.0 1.0388962e-06 0.0 1.0388962e-06 0.0020559758 4.155585e-06 2.0777925e-06 6.2333775e-06 5.194481e-06 1.0388962e-06 3.116689e-05 1.1427859e-05 0.0 0.0 1.0388962e-05 0.0 0.0 0.0 0.0 0.0 0.00095214846 2.5972406e-06 6.2333775e-06 1.2986204e-05 9.350067e-06 5.7139296e-06 5.1944815e-05 2.2855718e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002867873 3.584192e-05 2.8050199e-05 1.0908411e-05 2.233627e-05 3.4803026e-05 4.2594747e-05 1.8180684e-05 3.584192e-05 5.194481e-06 9.8695145e-06 1.6102893e-05 2.6491854e-05 7.272274e-06 1.7141789e-05 1.2986204e-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 0.0008815035 1.1947307e-05 1.2466755e-05 8.31117e-06 1.3505652e-05 1.6102893e-05 1.3505652e-05 1.1427859e-05 1.0908411e-05 1.3505652e-05 6.752826e-06 1.3505652e-05 1.1947307e-05 1.0388962e-05 1.8180684e-05 9.8695145e-06 0.0016279505 6.545046e-05 5.7139296e-05 4.8828126e-05 4.7789228e-05 3.064744e-05 2.2855718e-05 0.0005558095 3.0127992e-05 1.7141789e-05 1.9739029e-05 0.00027790476 2.0777925e-05 0.00027478806 1.662234e-05 7.791722e-05 0.0007443692 3.7400267e-05 3.4283577e-05 2.0777925e-05 2.233627e-05 1.7141789e-05 1.40250995e-05 1.1947307e-05 1.662234e-05 2.2855718e-05 1.921958e-05 1.7661238e-05 6.752826e-06 4.6750333e-06 2.2855718e-05 5.0905917e-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 0.0013209566 3.7400267e-05 4.3114196e-05 6.0255985e-05 4.2594747e-05 3.1686337e-05 9.194232e-05 5.869764e-05 3.9478058e-05 5.7658744e-05 4.415309e-05 4.3114196e-05 7.843667e-05 7.791722e-06 8.830619e-06 0.00016154838 0.0011713556 6.960605e-05 4.6230885e-05 4.6230885e-05 3.843916e-05 3.7919715e-05 4.7789228e-05 6.0255985e-05 5.2464264e-05 5.0905917e-05 6.8567155e-05 5.1944815e-05 7.531998e-05 1.4544548e-05 4.415309e-05 0.00025193236 0.0045872466 0.0002945271 0.00027322973 0.00026491855 0.00031011054 0.00023946559 0.00033036902 0.00031322724 0.00032725232 0.00035322472 0.00032725232 0.00035322472 0.0005225648 0.00015167886 0.00018700134 0.0007391747 0.0032034367 0.00027426862 0.0003012799 0.0002493351 0.00028933262 0.00028309925 0.00034387468 0.0009355261 0.00040828623 0.00035218583 0.00032517454 0.00067060755 0.00046386718 0.00043633644 0.00017505403 0.00086280337 0.0022559632 0.0001823263 0.00029089095 0.00024569896 0.00029920213 0.000295566 0.00028621592 0.0004036112 0.00044412815 0.0003236162 0.00024673788 0.00031790228 0.0004617894 0.00016206782 0.00019011802 0.001040974 0.000345433 5.4542055e-05 4.3114196e-05 4.5191988e-05 5.4542055e-05 4.8308677e-05 5.3503158e-05 5.1944815e-05 7.064495e-05 4.8308677e-05 3.843916e-05 4.9347575e-05 4.467254e-05 2.6491854e-05 4.20753e-05 4.726978e-05 0.09926966 0.06202938 0.062450133 0.055322267 0.060587913 0.05955577 0.054921772 0.054472968 0.06045597 0.053150974 0.052105322 0.052930206 0.05641986 0.0505288 0.05665673 0.05382314 4015.0 5.7041097 22902.0 0.017116409 0.01043577 0.009344162 0.0086018685 0.013492271 0.012487993 0.011789364 0.011483713 0.012575321 0.0097371405 0.008470876 0.0086018685 0.01388525 0.0105230985 0.011833028 0.009999127 0.016767094 0.011876692 0.008732862 0.0075539253 0.00982447 0.008470876 0.007815911 0.008339883 0.010261113 0.008470876 0.009649812 0.008863854 0.011527377 0.008994848 0.009649812 0.009213169 0.01803336 0.0108724125 0.010348441 0.009082176 0.0109160775 0.00882019 0.010697756 0.008296219 0.014278229 0.011614706 0.0097371405 0.008951183 0.011440049 0.009344162 0.011702035 0.009606148 0.014802201 0.009606148 0.009955462 0.008994848 0.012095014 0.009344162 0.009562484 0.00982447 0.013754257 0.009256833 0.010566763 0.009562484 0.011134399 0.009868134 0.010392105 0.010697756 0.017946031 0.011003406 0.009693476 0.00820889 0.013099292 0.008252555 0.009387827 0.008339883 0.015457165 0.009300497 0.008951183 0.008732862 0.011352721 0.007990569 0.009911798 0.007859576 0.0131866215 0.008034233 0.008732862 0.00882019 0.011396385 0.009431491 0.008165225 0.007859576 0.0109160775 0.00882019 0.012007685 0.0086018685 0.011309056 0.008994848 0.009955462 0.008732862 6.554515 0.0 0.0 0.0 14.0 963874.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.013806553 0.0046174084 0.004183527 0.004293139 0.00442102 0.004096751 0.004128721 0.0042977063 0.004347945 0.0040328107 0.0041652583 0.0041332883 0.004105885 0.0041606915 0.0039186315 0.003882094 0.0043022735 0.004288572 0.0039049299 0.00414699 0.004105885 0.003886661 0.0039460342 0.00369484 0.0039003626 0.0039780047 0.0040008402 0.0040602135 0.003854691 0.0038912282 0.0038729596 0.003831855 0.0043844827 0.004046512 0.0034664816 0.0039460342 0.0037998848 0.0038272878 0.003722243 0.0034938846 0.003941467 0.0039369 0.003804452 0.0041606915 0.0039551686 0.0040556462 0.0038775268 0.0038409894 0.004041945 0.003530422 0.0039688703 0.003854691 0.0041606915 0.0036765714 0.0037450788 0.0038135864 0.0038912282 0.003927766 0.0036263324 0.0041926615 0.0039003626 0.0038090192 0.0037359446 0.0040008402 0.0039871386 0.0039140643 0.0039871386 0.0037039744 0.003909497 0.0039506014 0.0037998848 0.0038135864 0.0037907506 0.0038181536 0.0033477352 0.003749646 0.0036857056 0.0036080638 0.0037587804 0.0038501238 0.0038227208 0.003959736 0.0036765714 0.0039460342 0.0037861834 0.0039231987 0.0040830495 0.003909497 0.0038227208 0.0040282435 0.0039460342 0.0041606915 0.0036902728 0.003831855 0.0036217654 0.0038729596 0.0038455566 0.0037268102 0.003886661 0.0037633476 0.004096751 0.0039871386 0.0037176758 0.0039231987 0.004073915 0.0038912282 0.0038912282 0.0038775268 0.0040784823 0.0041013183 0.0038683924 0.0039231987 0.0037542132 0.0038683924 0.0039186315 0.0040008402 0.0042109303 0.0045626024 0.003503019 0.0038409894 0.0039688703 0.0036583026 0.0036720042 0.0040236763 0.0038775268 0.0036446012 0.0038364222 0.0038638252 0.0041013183 0.0037998848 0.003886661 0.004151557 0.0036354668 0.0037724818 0.0037816162 0.003927766 0.003996273 0.0040282435 0.003927766 0.0041606915 0.0036628698 0.0039186315 0.003585228 0.0036034966 0.0038455566 0.0039506014 0.0036537354 0.003749646 0.0036263324 0.0037861834 0.0040054074 0.0039460342 0.0038501238 0.003557825 0.0037633476 0.00369484 0.0034025412 0.0036217654 0.0037313774 0.0035897952 0.0038638252 0.0038957954 0.0033066305 0.0040784823 0.0036628698 0.0036902728 0.003612631 0.0036034966 0.0037861834 0.0036628698 0.0037816162 0.003557825 0.0035167204 0.00369484 0.003859258 0.0036857056 0.0037724818 0.0038227208 0.0035669592 0.0037679148 0.0038409894 0.0037816162 0.0037861834 0.0039231987 0.003854691 0.0037679148 0.0037998848 0.0038683924 0.0036720042 0.0034208097 0.0038957954 0.003964303 0.004206363 0.004019109 0.0037679148 0.004073915 0.003882094 0.0035532578 0.0039323326 0.003777049 0.0037724818 0.003722243 0.0036994072 0.0035715264 0.0038957954 0.0036583026 0.0037679148 0.004037378 0.0036994072 0.0038775268 0.0037450788 0.0038181536 0.0033614365 0.0038409894 0.0037907506 0.0040602135 0.003859258 0.0038090192 0.0036034966 0.0038683924 0.0039323326 0.0038227208 0.0037907506 0.0037861834 0.003886661 0.0038272878 0.0036034966 0.0038683924 0.003959736 0.0034984518 0.0038683924 0.0036446012 0.0037405116 0.0035806608 0.0037953178 0.0042291987 0.003982572 0.0038135864 0.0040602135 0.0037405116 0.003991706 0.0039369 0.0035806608 0.0035623922 0.0035349892 0.0035989294 0.003927766 0.0038957954 0.004105885 0.0037039744 0.0037268102 0.003982572 0.003927766 0.0039323326 0.0038683924 0.0061337086 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003021816 7.600604e-05 3.224499e-05 0.00012667674 0.0001358896 3.9154627e-05 0.00014049602 0.00019577314 0.00028790167 2.3032135e-05 4.606427e-06 7.8309255e-05 0.00012897995 2.5335348e-05 9.443175e-05 0.0003063274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004021411 0.00032475308 0.00030172095 0.0003569981 0.00050901016 0.00027868882 0.0005804098 0.00052052626 0.00052052626 0.00019577314 0.0001543153 0.00029941773 0.0003270563 0.0002234117 0.00031323702 0.00050670694 0.0017965065 0.00019807636 0.00029941773 0.00018425708 0.00015892173 0.00024414062 0.00030172095 0.00020037957 0.00021650207 9.443175e-05 8.52189e-05 0.0002556567 0.00016122495 0.00014049602 0.0001543153 0.00022571492 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.066450015 0.06319097 0.06164781 0.061313845 0.059881248 0.061548773 0.06153726 0.061352998 0.061106555 0.059538066 0.059178766 0.059929613 0.060883146 0.060466263 0.060664337 0.06244242 1052.0 5.9258556 6234.0 0.015880654 0.008341354 0.0093038175 0.008822585 0.008501764 0.00737889 0.008341354 0.008662175 0.010105871 0.008822585 0.008662175 0.011228746 0.011389156 0.008662175 0.0093038175 0.010587103 0.012030799 0.0094642285 0.012030799 0.012030799 0.011068335 0.00978505 0.010907925 0.007860122 0.00978505 0.0094642285 0.009143407 0.009945461 0.010907925 0.010587103 0.009945461 0.00978505 0.0096246395 0.011870388 0.009945461 0.011389156 0.008341354 0.0096246395 0.011389156 0.008982996 0.008020532 0.010266282 0.008020532 0.0076997112 0.011068335 0.010747514 0.0067372476 0.0096246395 0.009945461 0.008501764 0.011709978 0.009945461 0.009143407 0.011228746 0.009143407 0.011068335 0.008822585 0.010907925 0.0096246395 0.012672441 0.010266282 0.008501764 0.008982996 0.010907925 0.010426693 0.013795316 0.008982996 0.010747514 0.012512031 0.01491819 0.0094642285 0.011870388 0.010907925 0.012512031 0.010105871 0.012512031 0.015078601 0.012512031 0.011870388 0.011549567 0.0094642285 0.010907925 0.013634905 0.01475778 0.014276548 0.013153673 0.00737889 0.010426693 0.011389156 0.008822585 0.011389156 0.011870388 0.009945461 0.0096246395 0.0096246395 0.010105871 6.564026 0.0 1.0 0.0 5.0 218954.0 86016.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 1013513200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 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 -25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8712225 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.6237385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 49152.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 83092.0 1172.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.0073854406 0.004087551 0.0039826324 0.0039318744 0.003988953 0.0039093154 0.003938584 0.0038935633 0.004126057 0.0038378465 0.0038513623 0.0038863677 0.0040060664 0.0038759634 0.0038586552 0.0039733946 0.0039592953 0.0038638087 0.003882381 0.003844653 0.003910191 0.003907176 0.0038811169 0.0038559325 0.003884812 0.0038296785 0.003847959 0.0038560298 0.0038608916 0.0038469867 0.00384582 0.0038288033 0.0040295008 0.0038674064 0.0038331791 0.0038599193 0.0039695054 0.0038492233 0.0038710043 0.0038830617 0.0038580718 0.0038575856 0.0038787832 0.0038351237 0.0038615724 0.00383279 0.0038400828 0.0038787832 0.003872949 0.00389016 0.00385778 0.004001885 0.0038678928 0.0039039676 0.0038804363 0.003879561 0.0038472784 0.003926235 0.0038987168 0.0039796177 0.003911552 0.0038713932 0.0038792694 0.0039036758 0.004020652 0.003891424 0.004030084 0.003841347 0.0039342083 0.0041062203 0.0038923963 0.0038620585 0.0039003699 0.0038706153 0.0038416388 0.0038306508 0.00387256 0.0039195255 0.003869254 0.0038588496 0.0039939117 0.003866434 0.003860989 0.003917289 0.003884423 0.0038892848 0.003945585 0.003910871 0.0038641004 0.003921762 0.0038755743 0.0038580718 0.003853307 0.003904551 0.0039072735 0.0038879234 0.0038617668 0.0038979389 0.0038817003 0.0038702264 0.0039223456 0.0039660046 0.0039195255 0.0038624473 0.0038686707 0.003908538 0.0039125243 0.0038034245 0.0039310968 0.003844653 0.0039134966 0.00394082 0.0039050372 0.0038536962 0.003957059 0.0038953135 0.004138017 0.0041024284 0.0038821865 0.0038449448 0.0038754772 0.0038735324 0.0038546685 0.0038258864 0.003842125 0.003879561 0.0038799501 0.0038797555 0.0039077597 0.0038630308 0.0038239416 0.0040923157 0.0039067874 0.0040726736 0.0038654618 0.0038388188 0.0038368742 0.0041162358 0.003861475 0.0045087817 0.0038701291 0.004023472 0.0038452365 0.003859822 0.003901634 0.0038244277 0.0038152875 0.003862642 0.003890938 0.0038661424 0.0038476675 0.0038410553 0.0038700318 0.0038487369 0.0038404719 0.0038541823 0.003863906 0.003830262 0.0038785888 0.0038374574 0.0038325957 0.003854474 0.003823358 0.0038510708 0.0038592385 0.0038394022 0.0038365824 0.0038620585 0.0038706153 0.0038703235 0.0038469867 0.0038763522 0.0038356099 0.0038366795 0.003849612 0.003831915 0.003842611 0.0038138288 0.0038642948 0.0038188852 0.0038469867 0.003860308 0.0038558352 0.00387256 0.0038862706 0.0038522375 0.0038415415 0.0038845201 0.003852821 0.0038074113 0.0038388188 0.0038514596 0.004021916 0.0039400426 0.00389755 0.00392429 0.00387256 0.0038378465 0.003927499 0.0039565726 0.003895897 0.0038735324 0.0038119813 0.0038605027 0.0038656562 0.0038523348 0.003807703 0.0038630308 0.0038628364 0.003849612 0.003837166 0.0038611833 0.0038674064 0.0038394995 0.0038355128 0.0038866594 0.0038611833 0.0038418332 0.003873435 0.0038375547 0.003884423 0.0038202466 0.0038699347 0.003862253 0.0038826726 0.003808481 0.0038546685 0.0038604054 0.0038445557 0.0038560298 0.003856516 0.0038545711 0.0041517275 0.0039191367 0.0038580718 0.0039281794 0.0039151497 0.0038473757 0.0038588496 0.0038349293 0.003943057 0.0038238443 0.003837263 0.0038764495 0.003885298 0.0038660453 0.003907371 0.0038462088 0.0039577396 0.003862253 0.0038760605 0.0038600166 0.0039671715 0.0038854924 0.003948405 0.0049976893 0.00029874526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.601569e-05 3.3550493e-06 2.6743148e-06 4.8623903e-08 1.7990844e-06 1.3128454e-06 1.5559649e-06 1.1669737e-06 2.9174342e-07 9.7247806e-08 2.4311953e-07 1.9449561e-07 1.4587171e-07 4.8623903e-08 4.8623903e-08 5.8348684e-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 0.00015861118 2.6256907e-06 2.1880758e-06 1.069726e-06 9.822029e-06 2.3339474e-06 5.8834926e-06 4.570647e-06 1.069726e-06 1.7504606e-06 6.3211075e-07 7.293586e-07 3.4036734e-07 1.069726e-06 1.2642215e-06 5.2027576e-06 0.00020883967 1.021102e-06 7.293586e-06 7.731201e-06 1.1183498e-05 6.8559707e-06 3.627343e-05 1.5365154e-05 1.4100932e-06 3.4036734e-07 3.4036734e-07 5.8348684e-07 4.3761514e-07 1.4587171e-07 5.8348684e-07 3.4036734e-07 0.0007481274 2.353397e-05 7.254686e-05 1.0551387e-05 7.56588e-05 3.724591e-05 0.00020801307 0.00010293681 1.3371574e-05 1.1426618e-05 5.591749e-06 4.765143e-06 1.4781667e-05 8.266064e-06 6.3697316e-06 5.0957853e-05 0.0003134297 7.97432e-06 5.0520237e-05 3.3015633e-05 2.3874338e-05 1.5754145e-05 0.0001503451 7.692302e-05 6.9045946e-06 2.4311953e-06 2.3339474e-06 2.4798192e-06 2.9660582e-06 1.7504606e-06 1.7990844e-06 4.570647e-06 0.00018520845 3.98716e-06 1.9449562e-05 1.2253224e-05 3.4571596e-05 2.0616535e-05 0.0001244772 6.9580805e-05 9.141294e-06 9.724781e-07 8.2660637e-07 1.8477084e-06 3.4522973e-06 4.8623906e-07 2.7715625e-06 8.266064e-06 0.00017835248 1.1037627e-05 2.3922961e-05 1.0502763e-05 1.4003685e-05 1.3566069e-05 4.706794e-05 3.1654163e-05 9.141294e-06 5.9807403e-06 6.612851e-06 6.515603e-06 1.9449562e-05 8.606431e-06 6.3697316e-06 5.543125e-06 0.00019031396 1.9352314e-05 4.3664266e-05 0.000260381 5.6355104e-05 4.8380785e-05 9.98735e-05 6.442668e-05 3.014682e-05 1.9109195e-05 1.6532127e-05 1.9498186e-05 2.8590855e-05 2.5089936e-05 2.4214705e-05 4.9888127e-05 0.00020601948 2.0130297e-05 5.193033e-05 8.849551e-05 5.7716574e-05 4.2448668e-05 4.3761513e-05 4.755418e-05 0.00014212767 1.8963323e-05 1.1815609e-05 2.5965164e-05 4.196243e-05 2.2026628e-05 5.0909228e-05 0.00022357272 0.001595253 0.00024623144 0.00023893786 0.0002847902 0.0005404061 0.0005093354 0.00015656897 0.00043114816 0.001117426 8.718266e-05 6.588539e-05 0.00014416988 0.0004777785 0.00013935611 0.00042560505 0.001008557 0.0009620726 0.0001863268 0.00013857812 0.00020986077 0.00037936372 0.0003536903 0.00018360386 0.0003240297 0.0006292906 6.1946856e-05 6.99698e-05 8.3876235e-05 0.00031474253 0.00010745883 0.00027720488 0.0005974905 0.061371733 0.061381795 0.061355103 0.06145405 0.061339203 0.061291598 0.06124847 0.061321404 0.061334535 0.06146577 0.061398376 0.061302733 0.061307255 0.061380144 0.061337303 0.061387487 47563.0 5.8353763 277548.0 0.014076845 0.0100126825 0.01017842 0.009810915 0.010167611 0.0101748165 0.009929814 0.009915402 0.009828931 0.009994668 0.009969447 0.009630767 0.010182022 0.010001874 0.010102757 0.009933417 0.010272097 0.010102757 0.010102757 0.010351363 0.010138786 0.010304524 0.010535114 0.010185625 0.010304524 0.010135184 0.010567541 0.010182022 0.01081975 0.010117169 0.0103261415 0.010236068 0.010527909 0.010210847 0.010037904 0.00997305 0.01021445 0.010091948 0.010398202 0.010019888 0.010037904 0.010290112 0.009756871 0.009684811 0.0102684945 0.010077536 0.0102757 0.010145993 0.010437834 0.0099081965 0.010131581 0.010643204 0.010646807 0.010437834 0.0100343 0.010509894 0.009818122 0.00973165 0.0100126825 0.010113566 0.009976652 0.0097676795 0.009962241 0.010138786 0.0099658435 0.012008734 0.010232464 0.0113385795 0.011342182 0.01419214 0.009792901 0.01033695 0.010520703 0.012005131 0.010113566 0.00963437 0.012120426 0.010740484 0.011302549 0.011897041 0.010801735 0.00973165 0.012253736 0.0115943905 0.0141777275 0.010736882 0.010369377 0.010023491 0.010225259 0.010495482 0.009497456 0.009933417 0.009933417 0.009886578 0.010066727 0.009854151 6.5802975 0.0 0.0 0.0 178.0 10284153.0 212992.0 1.0 3.0 158.0 1.0 1.0 0.0 0.0 0.0 1388016800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 157696.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -157696.0 -5120.0 8192.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0546784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4156997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.570156 -5.491164 4.1505613 3.717526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10346.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -157450.0 -4650.0 7968.0 188.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -2.0 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 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 154.0 161392.0 220.0 180224.0 7968.0 192512.0 0.0 0.0 16136.0 69983310.0 6576.0 200704.0 28.0 4160.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 22152.0 0.0 0.0 684.0 181128.0 0.0 0.0 0.0 0.0


Input: 0.041092463 0.005313749 0.0041172933 0.0044002687 0.0051970216 0.003855541 0.00427912 0.0039837644 0.004780517 0.0038864915 0.0038104418 0.0038184004 0.004426798 0.0037892186 0.0036371192 0.005176683 0.0042923843 0.0035699126 0.0035539952 0.0035610697 0.004010293 0.0036937145 0.003603516 0.0035593011 0.0037237806 0.0034505324 0.0035080118 0.003508896 0.0036309292 0.0034947472 0.003588483 0.00349121 0.005147501 0.0035548795 0.0034514167 0.0035460365 0.003884723 0.0035513423 0.0034452265 0.0034399207 0.0035610697 0.003369177 0.0033355735 0.003801599 0.0035221605 0.0038696898 0.0036238548 0.0034381521 0.00447455 0.003903293 0.0036397723 0.0047522197 0.003807789 0.0036176648 0.0036813342 0.0035336565 0.003653921 0.0036990202 0.0036742599 0.0040642354 0.0036928302 0.0037715326 0.0035761027 0.0038254748 0.0037989458 0.005392452 0.0037025574 0.0036079374 0.003535425 0.0045063845 0.003767111 0.0035539952 0.0036671855 0.0035805241 0.003310813 0.0033886314 0.0035460365 0.004035938 0.0035628383 0.003458491 0.004255244 0.0036645324 0.0034390364 0.0037255492 0.0035478051 0.003975806 0.0039545824 0.0038033675 0.003574334 0.0037653425 0.0034275407 0.003476177 0.0036079374 0.0039041773 0.003760921 0.003574334 0.0036583424 0.0043657813 0.0034461108 0.0038723426 0.00377507 0.0046045417 0.0043224506 0.0037052103 0.0038944501 0.00398288 0.0039333594 0.0035937887 0.0039634253 0.003653921 0.003997913 0.0041438225 0.0037052103 0.003416929 0.004353401 0.004448021 0.0053376253 0.0048167733 0.003607053 0.003737045 0.0035601854 0.003607053 0.003541615 0.0033921686 0.0033912843 0.0035734498 0.0036503838 0.0036592267 0.003879417 0.003690177 0.0035097804 0.0050988644 0.0037158218 0.0047796327 0.0034089703 0.0034965158 0.0036494995 0.0045329137 0.0035133176 0.006961197 0.0034125075 0.0045028473 0.0033506067 0.0034814829 0.0035999788 0.003399243 0.0033762513 0.0033868628 0.0034089703 0.003505359 0.0034178132 0.0034514167 0.0033063916 0.0035911358 0.0033930528 0.0034089703 0.0033656396 0.0033868628 0.003292243 0.0035292348 0.0035150861 0.0034399207 0.0033320363 0.0034823671 0.0034567225 0.0034894415 0.0033744827 0.0033895157 0.0035566483 0.003355028 0.003443458 0.0034744083 0.0034540696 0.0034965158 0.0034133918 0.0033523752 0.0034487639 0.003416929 0.0034982844 0.0034496482 0.0034867886 0.0034195818 0.003846698 0.0035451523 0.0036114748 0.003363871 0.0035637226 0.0033859785 0.003355028 0.0034797143 0.003408086 0.0035363093 0.004552368 0.0040085246 0.0037237806 0.004012946 0.0038042518 0.0034576068 0.0037821443 0.0037715326 0.003763574 0.003959888 0.0034337307 0.0034354993 0.0039696153 0.003440805 0.0034487639 0.0033727142 0.0036441938 0.0035822927 0.0035734498 0.003428425 0.0034894415 0.0033850942 0.0034629125 0.0034363836 0.0036300449 0.003526582 0.0034248878 0.003538078 0.0035256976 0.0036026316 0.003366524 0.003387747 0.003903293 0.003538078 0.0034567225 0.0034443422 0.003638888 0.003633582 0.0035336565 0.003813979 0.005052881 0.0036733756 0.0034010117 0.004038591 0.0040111775 0.0033824414 0.0034832514 0.0033868628 0.003912136 0.00349121 0.00349121 0.0035124333 0.0036565738 0.0033886314 0.0036645324 0.0036813342 0.004348095 0.0035433837 0.0035513423 0.0036424252 0.004066004 0.0035336565 0.0038520037 0.010387854 0.00543971 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00074946525 1.4165911e-05 1.4165911e-05 1.3723226e-05 9.296379e-06 1.4165911e-05 1.4608596e-05 9.739064e-06 1.0624433e-05 5.7549014e-06 5.7549014e-06 7.0829556e-06 7.5256403e-06 1.2837857e-05 9.739064e-06 7.968325e-06 0.002653895 7.481372e-05 0.00011509803 2.2134236e-05 9.296379e-05 4.205505e-05 0.00023683632 0.00014652865 3.1430616e-05 1.7264705e-05 2.8331822e-05 1.7264705e-05 2.8331822e-05 3.5414778e-05 5.976244e-05 2.434766e-05 0.0026764718 5.046606e-05 0.00035547584 4.869532e-05 0.0001885837 8.499547e-05 0.0006901455 0.00041125412 1.593665e-05 1.3280542e-06 1.3280542e-06 4.869532e-06 0.0 4.4268472e-07 8.8536945e-07 2.2134236e-06 0.007060821 0.0001447579 0.0009066183 0.0005808024 0.00039487478 0.00021116062 0.00206114 0.0009362782 3.1430616e-05 2.3462291e-05 5.445022e-05 6.37466e-05 6.551734e-05 4.7367266e-05 5.976244e-05 5.046606e-05 0.004195323 0.00011996756 0.0007003272 0.00034529407 0.0002664962 0.00014829938 0.001152751 0.0005825731 5.533559e-05 5.22368e-05 9.429185e-05 0.00016379335 0.00012970662 2.3019606e-05 3.851357e-05 9.163574e-05 0.0057982844 0.00027534988 0.00059009873 0.00040372848 0.00084198633 0.0002895158 0.0013913581 0.0008486266 0.00026162667 0.00013811764 0.0003302428 0.00031032198 0.00028021942 0.00017530315 0.0005741621 0.0010903325 0.0017450632 0.00015449697 0.00017795926 0.0014697133 0.00035945998 0.00021116062 0.00055202784 0.00039221867 0.00016157993 0.000120410245 0.00017308972 0.00011863951 0.00020806181 0.00017043362 0.00015980919 0.00017220435 0.0031736067 0.0004807556 0.0003877918 0.0010447359 0.00040417115 0.00032315985 0.00055734004 0.00058567186 0.0012125134 0.00038425034 0.00019832276 0.00037008442 0.0007153785 0.00016777751 0.0006188732 0.002068223 0.009998035 0.0015817125 0.0011554072 0.0017499328 0.0024015647 0.002287352 0.0012873271 0.002178009 0.0051957904 0.00060515 0.00051705574 0.0009845308 0.0028690398 0.0008605791 0.0023077154 0.0048186234 0.008181699 0.0018442245 0.0014294289 0.0020128875 0.0026654047 0.003039916 0.0018189915 0.0024870029 0.0049319505 0.00053697656 0.00060780614 0.0007352993 0.0027760759 0.0015290331 0.002517548 0.004590198 0.053570163 0.05350907 0.052706044 0.053685706 0.05280078 0.052814502 0.053156696 0.053223982 0.053107116 0.052965455 0.05305178 0.05307657 0.052897725 0.05301415 0.053077456 0.05284416 5248.0 6.7980185 35676.0 0.021471016 0.007680233 0.0096423365 0.009362036 0.009474156 0.007652203 0.008156744 0.008773405 0.0073158424 0.007540083 0.0072037224 0.0077923536 0.008324924 0.010959749 0.011183989 0.010567328 0.015696827 0.013510483 0.011099899 0.011352169 0.010174908 0.010427178 0.010791569 0.009978697 0.0096423365 0.010539298 0.010875659 0.010146878 0.010819599 0.009446126 0.009025675 0.008661285 0.009165825 0.009530216 0.008268864 0.011492319 0.010287028 0.009081735 0.009950667 0.0095862765 0.008745375 0.009390066 0.0071756924 0.008072654 0.009446126 0.008296894 0.0096143065 0.008773405 0.011240049 0.008689315 0.008801435 0.010875659 0.010679448 0.008352954 0.008577195 0.0096703665 0.008745375 0.008240834 0.008128714 0.007455993 0.007988564 0.008521135 0.007848414 0.009418096 0.010034758 0.01740666 0.010258998 0.015836976 0.013005942 0.023545241 0.009866577 0.010343088 0.010791569 0.015640767 0.008409015 0.007904474 0.013930934 0.011940801 0.013706693 0.016537728 0.011968831 0.007764323 0.018892253 0.015977127 0.022536159 0.012417312 0.008997645 0.010651418 0.010146878 0.010651418 0.0071196323 0.007932504 0.0073438725 0.007652203 0.007904474 0.007484023 6.5253334 0.0 25.0 0.0 19.0 1130840.0 1130496.0 1.0 0.0 99.0 1.0 1.0 1.0 0.0 0.0 1525819500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 84480.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 991232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5575194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2999015 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4010804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.012216 0.0 7.9823604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84349.0 0.0 991116.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 115388.0 991116.0 131072.0 0.0 0.0 19288.0 1111552.0 4276.0 1122304.0 84.0 113008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 113096.0 0.0 0.0 416.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.26751631 0.034253858 0.03274575 0.017720282 0.020396559 0.009283525 0.027405558 0.008164804 0.007565269 0.0031707378 0.016749902 0.005494709 0.002892603 0.0022312598 0.0026515527 0.0051547666 0.0064341873 0.009048655 0.009611106 0.005031151 0.0018851365 0.004505785 0.0036775614 0.0029296875 0.0053772745 0.0013721321 0.0014710245 0.0040051425 0.0030038569 0.002008752 0.002280706 0.0014895669 0.009685275 0.0019593057 0.001322686 0.0017491594 0.0016008208 0.0032449071 0.0026762758 0.0023610562 0.018103492 0.0020149327 0.009054836 0.0028555181 0.0036466573 0.00550089 0.004746835 0.002886422 0.0050435127 0.0023177906 0.0022065367 0.001897498 0.0010630933 0.0013844937 0.0016873516 0.002966772 0.0019902096 0.0013968552 0.0011928896 0.0024784908 0.002255983 0.001155805 0.0015328323 0.000661343 0.0007725969 0.0022127177 0.001155805 0.0030162183 0.0016379055 0.004437797 0.0017553401 0.0017491594 0.0011249011 0.0026144679 0.0023301523 0.00084058545 0.0036837421 0.0022312598 0.0014895669 0.0010260087 0.0019902096 0.00069224683 0.0021014635 0.0024599486 0.002830795 0.00060571596 0.0015451938 0.00072315073 0.001458663 0.0010321895 0.0014215783 0.00064280065 0.00092093553 0.00079732004 0.0005068236 0.009135186 0.004270916 0.017096024 0.00294823 0.0058161095 0.005772844 0.024809632 0.0023857793 0.0038073575 0.0030903877 0.011712569 0.003387065 0.001347409 0.008628363 0.0034612343 0.014531002 0.017262906 0.010173556 0.00069224683 0.018134395 0.013919106 0.016008208 0.004202927 0.0045799543 0.0009023932 0.0011434434 0.003411788 0.0038259 0.0028493374 0.0005562698 0.0035415844 0.0017429787 0.0006242583 0.0055441554 0.0035292227 0.0012546974 0.00083440467 0.0006304391 0.0002781349 0.0024414062 0.0002719541 0.00030285798 0.0006984276 0.0011249011 0.0004511966 0.0009023932 0.00064280065 0.0008158623 0.00035848498 0.00028431567 0.0010198279 0.0005933544 0.001817148 0.00039556963 0.00048828125 0.0025712026 0.00024723102 0.0005253659 0.00035848498 0.00056863134 0.0002966772 0.00048828125 0.0008158623 0.00031521954 0.00024105023 0.00048828125 0.0004759197 0.0010074663 0.0004511966 0.0008962124 0.00039556963 0.00043265428 0.00024105023 0.0004511966 0.00033376185 0.00019160403 0.0002966772 0.0004264735 0.00051918515 0.000550089 0.00018542325 0.00031521954 0.00048828125 0.00042029272 0.0004511966 0.0003275811 0.0002719541 0.0003523042 0.0007107892 0.0002966772 0.0014401206 0.00071696995 0.00022868869 0.00045737738 0.00048210047 0.0005253659 0.00030285798 0.0016935325 0.0008158623 0.00056245056 0.00041411194 0.00068606605 0.0017677017 0.0032078223 0.00022250791 0.00039556963 0.0005253659 0.00035848498 0.00019160403 0.00060571596 0.00025959258 0.0005130044 0.00040793116 0.0016379055 0.00040175038 0.0003708465 0.00044501582 0.0005562698 0.00044501582 0.0013041436 0.0002781349 0.001347409 0.0006180775 0.00039556963 0.0005809929 0.00084058545 0.00040175038 0.0010939973 0.00034612342 0.0013103244 0.0006551622 0.001761521 0.000661343 0.0009332971 0.0007849585 0.00087148935 0.0003523042 0.000550089 0.00086530857 0.0006984276 0.0002719541 0.00033376185 0.00033994264 0.0003708465 0.00056863134 0.0005068236 0.0002534118 0.00076641614 0.00045737738 0.00053154666 0.00030903876 0.00022250791 0.00041411194 0.00095802016 0.00048210047 0.00040793116 0.00030903876 0.0005562698 0.00049446203 0.0019840288 0.00033994264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0049574543 2.1770502e-05 9.9522294e-05 0.00011196258 0.0001648338 9.330215e-05 0.00063134456 0.00023636545 2.1770502e-05 6.2201434e-06 6.2201434e-06 9.330215e-06 0.0 0.0 3.1100717e-06 6.2201434e-06 0.004366541 0.002261022 0.0001523935 0.00019282445 0.0014866142 0.0034926105 0.019459719 0.006674214 7.153165e-05 1.866043e-05 0.0 0.0 0.0 1.5550359e-05 2.4880574e-05 0.0 0.08270614 0.0049636746 0.010222806 0.0058313846 0.011003434 0.010807499 0.066151224 0.029617213 0.0010512042 0.0008428294 0.00029234673 0.0009734524 0.00130312 0.0012782394 0.00094857183 0.0013062301 0.14393723 0.015926678 0.027508583 0.004948124 0.004506494 0.0039622313 0.023984872 0.02909472 0.0025626991 0.0016296776 0.0008894805 0.0015239351 0.0034459594 0.0013280006 0.0007339769 0.0015332653 0.104094096 0.015550358 0.020893462 0.0069727805 0.0030540903 0.0032002637 0.0090254275 0.01254914 0.0029452378 0.0014617337 0.001959345 0.000911251 0.0014710639 0.0030074392 0.0019469048 0.002040207 0.04934751 0.01259579 0.0062263636 0.0034117487 0.0027928443 0.0026560011 0.0035641422 0.0031629428 0.0067333053 0.0027617437 0.0012533589 0.0011476164 0.0012409186 0.0011849373 0.0027897342 0.001041874 0.053947303 0.010017541 0.0060210987 0.007081633 0.0056696604 0.0037103156 0.0066928742 0.0045718052 0.0052280305 0.0031691631 0.001996666 0.0023543243 0.0031411725 0.0024165257 0.0030727508 0.0019282445 0.0140668545 0.0017634106 0.0020122163 0.0016825488 0.0020495371 0.0006126841 0.0007401971 0.00051938195 0.0012813496 0.0009205812 0.0005784733 0.00047895103 0.0016265674 0.0013000099 0.001430633 0.00078373804 0.004021323 0.0012689092 0.00048828125 0.0011351762 0.0014492933 0.00042607982 0.00052249205 0.00019593451 0.00026124602 0.0002736863 0.00038253883 0.0004198597 0.00046340068 0.00059713377 0.00044163017 0.00039186902 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1228.0 21.564333 26481.0 0.0006042068 0.00018881462 0.00011328877 0.00033986632 0.000490918 0.00022657754 0.0 7.552585e-05 0.0001510517 0.0001510517 7.552585e-05 0.00037762924 0.0003021034 0.00026434046 0.007854688 0.0007552585 0.0052868095 0.003511952 0.0032853745 0.0026434048 0.0022657756 0.0021902495 0.0018503832 0.0014349911 0.0017370945 0.0016615686 0.00011328877 7.552585e-05 0.0041916845 0.0001510517 0.0042294473 3.7762926e-05 3.7762926e-05 0.008156791 0.0038140554 0.009893886 0.004040633 0.004946943 0.0052868095 0.0068728523 0.0007552585 0.010082701 0.0062686456 0.0006042068 0.0026811676 0.007816926 0.0033986631 0.002530116 0.0037385295 0.0001510517 0.0060798307 0.009667309 0.0064196973 0.00064196973 0.004116159 0.00067973265 0.0003021034 0.00011328877 3.7762926e-05 0.0 0.0 3.7762926e-05 3.7762926e-05 0.051961783 0.0011706507 0.07322231 0.01227295 0.026509574 0.021260526 0.12216306 0.008760998 0.016238058 0.013707941 0.054454137 0.016577924 0.006004305 0.042672105 0.015331747 0.067255765 0.04829878 0.016880028 0.00045315508 0.05732412 0.03122994 0.079604246 0.01691779 0.021675918 0.0028699823 0.0026434048 0.016200295 0.00041539216 3.7762926e-05 0.0 0.0 0.0 3.7762926e-05 4.9442387 0.0 0.0 0.0 1.0 161792.0 188416.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1535486700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 159744.0 512.0 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 -159744.0 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 -5.8598065 0.0 3.1118839 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 -159412.0 0.0 924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 167516.0 924.0 172032.0 0.0 0.0 0.0 0.0 12.0 180224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.24339685 0.0042412337 0.00503611 0.0017771167 0.004945267 0.0013569676 0.001260447 0.0020326127 0.0073696403 0.0014534884 0.003917605 0.0013172239 0.0039459937 0.0011696039 0.0013740007 0.0031454398 0.010946584 0.00412768 0.0023959847 0.0007778434 0.0018452489 0.009498774 0.001078761 0.00073809957 0.0013853561 0.00074377726 0.0009879179 0.0008232649 0.0012263808 0.0011014716 0.0009197856 0.0010390171 0.00412768 0.001112827 0.0019077035 0.0031340844 0.0015670422 0.0016862736 0.0012320585 0.0012093477 0.0018225382 0.00068132265 0.0008970749 0.0007267442 0.0019758358 0.00075513264 0.0012490916 0.00085165334 0.0041731014 0.0008686864 0.003855151 0.0017771167 0.0019133812 0.0025152161 0.0011923147 0.0008743641 0.003503134 0.00073809957 0.0008289426 0.0009992733 0.0012207031 0.00091410795 0.0009822402 0.0009935956 0.020138763 0.0045875725 0.0040992913 0.0016805959 0.0066372184 0.009805369 0.0018168605 0.00093114097 0.002520894 0.0015670422 0.0019417696 0.00090843026 0.0024697946 0.008272393 0.0015954305 0.0019871911 0.011485965 0.0077557233 0.008045285 0.0024186955 0.0037813408 0.0057798875 0.0025265715 0.0011696039 0.0021234557 0.00084597565 0.0008175872 0.0007153888 0.0034066134 0.0018622819 0.0008800418 0.0040481924 0.0020496456 0.0038210847 0.0021688773 0.0015670422 0.0024868278 0.0041844565 0.0038608285 0.00095385173 0.0076194587 0.0024016625 0.0051042424 0.00068132265 0.0025492823 0.0015216207 0.0021348111 0.0022483647 0.0021859102 0.00084597565 0.0034406795 0.0017203398 0.0041901344 0.0018509266 0.0020326127 0.0026912245 0.0067053507 0.00094817404 0.0007778434 0.00067564496 0.004070903 0.004547829 0.0009595294 0.0015272984 0.0073582847 0.0009708848 0.00095385173 0.0048714573 0.0051723747 0.0191111 0.0007267442 0.0008686864 0.008244004 0.018038018 0.0007721657 0.029245775 0.0013229016 0.018407067 0.0008289426 0.0014478107 0.0026912245 0.0013115462 0.00127748 0.0005507358 0.0036848201 0.006148937 0.00074377726 0.00064157887 0.001368323 0.0013172239 0.0008232649 0.0006131904 0.0016124636 0.00068700034 0.0008686864 0.0007324219 0.0013967115 0.0011355378 0.00076081033 0.0008800418 0.0015840753 0.00064157887 0.00064725656 0.0007040334 0.0018849927 0.00083462027 0.0011468931 0.00076081033 0.0034350017 0.000766488 0.00076081033 0.00057344657 0.0038324401 0.0007210665 0.0007835211 0.0007324219 0.0032135719 0.00074377726 0.00084029796 0.00066428963 0.0036393986 0.0013058685 0.0011809593 0.0008743641 0.0014761991 0.0037302417 0.0007778434 0.0011979924 0.003707531 0.00067564496 0.00091410795 0.0009197856 0.0030432413 0.0005564135 0.00083462027 0.0097202035 0.0017089844 0.00074377726 0.0007891988 0.0006245458 0.0030375635 0.00065293425 0.0008913972 0.0011582485 0.0025095385 0.00076081033 0.0009765625 0.0011412154 0.004729515 0.00064725656 0.0008913972 0.0009765625 0.0021745549 0.00084029796 0.0008232649 0.0041163247 0.0018055051 0.0021859102 0.0007778434 0.000766488 0.0019644804 0.00068132265 0.0041674236 0.00064157887 0.0015670422 0.00076081033 0.00095385173 0.0008005541 0.0030205306 0.0008630087 0.000766488 0.0032760266 0.0024414062 0.00064157887 0.0011639262 0.0009879179 0.0017373728 0.00059615733 0.0006983557 0.0009254633 0.0013172239 0.000766488 0.001334257 0.0022540425 0.002884266 0.0014591661 0.0014648438 0.0014818768 0.0039914153 0.0020950672 0.019758357 0.09658884 0.040935673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011330409 1.1421784e-05 0.0 1.9988121e-05 3.426535e-05 3.426535e-05 8.566338e-05 5.1398027e-05 5.710892e-06 0.0 0.0 0.0 1.427723e-05 0.0 2.2843567e-05 8.566338e-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 0.004988464 4.854258e-05 5.1398027e-05 0.00015133864 0.00035693074 0.00015419407 0.0 0.0 0.0 4.854258e-05 0.0 0.0 0.0 0.0 0.0 4.854258e-05 0.004797149 1.9988121e-05 7.1386145e-05 7.1386145e-05 0.00017989309 5.1398027e-05 0.00035693074 0.00015704952 4.5687135e-05 2.855446e-06 3.1409905e-05 1.7132676e-05 2.855446e-06 2.855446e-06 3.426535e-05 5.710892e-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 0.004174662 2.5699013e-05 0.00011992873 2.855446e-05 2.2843567e-05 5.710892e-06 6.567525e-05 0.00050826935 0.0004168951 0.0 0.0 0.0 4.5687135e-05 0.0 3.7120797e-05 0.00039690698 0.028023345 0.00047400402 0.00060249906 0.00064533076 0.004128975 0.0017332557 0.0041803727 0.0020644874 0.00121642 0.0001313505 7.4241594e-05 0.00012563962 0.00026555647 1.9988121e-05 0.00016276042 0.0029353984 0.020193713 0.00033979808 0.0006281981 0.0005653783 0.0014562774 0.00092801993 0.0021301627 0.0011792992 0.00294682 0.0003683525 4.283169e-05 3.1409905e-05 0.00084235653 5.1398027e-05 0.0008623447 0.0025213587 0.036158513 0.0009879842 0.001659014 0.0015190972 0.005313985 0.0026241548 0.0066446224 0.00460869 0.0030124953 0.00041975055 0.00076240406 0.00084806746 0.0005796555 0.0011307566 0.00063676445 0.0032694857 0.024345532 0.0010279606 0.0017218338 0.0013392041 0.003772044 0.002318622 0.0049427766 0.0042232047 0.0021758499 0.00039690698 0.00045116045 0.0005225466 0.00081665756 0.001050804 0.00071957236 0.0028069033 0.010710778 0.0007024397 0.00047114858 0.0012820952 0.0012306971 0.0013249269 0.0015904834 0.00089946546 0.00084521197 0.0007252833 0.00029125548 0.0003683525 0.0009651407 0.00032837628 0.0005225466 0.001133612 0.015182406 0.0028897112 0.0018674616 0.0011707328 0.0064904285 0.0032123767 0.0020701983 0.0016019051 0.008894714 0.0013106497 0.0005853664 0.0014762655 0.0023357547 0.001344915 0.00121642 0.01267818 0.06776258 0.019302815 0.0065246937 0.00934873 0.03234078 0.029482478 0.011667352 0.012215598 0.081928454 0.010907804 0.0051055374 0.010864972 0.012067114 0.0098541435 0.008297926 0.099229604 0.008986088 0.003797743 0.0010336714 0.0013477704 0.0056309393 0.0056709154 0.0022129705 0.0017532437 0.007501256 0.0013334933 0.0005453902 0.0010936358 0.002190127 0.0020587766 0.0023357547 0.0051398026 0.009745637 0.009945518 0.010048314 0.00973136 0.009991205 0.010171099 0.009400128 0.009905542 0.009817023 0.009328742 0.009916964 0.010322437 0.0098313 0.01024534 0.009802746 0.009691384 948.0 8.689874 8238.0 0.0048555476 0.0013352756 0.0021849964 0.030225784 0.0016994416 0.0014566643 0.0021849964 0.0029133286 0.001942219 0.0014566643 0.002306385 0.0012138869 0.013595533 0.0008497208 0.007040544 0.0018208303 0.023549406 0.001942219 0.029011896 0.00461277 0.0055838795 0.013109978 0.0069191554 0.0014566643 0.007768876 0.0015780529 0.001942219 0.0009711095 0.0025491624 0.0012138869 0.001942219 0.002306385 0.020878853 0.0078902645 0.0087399855 0.009953872 0.07174072 0.0074047097 0.0069191554 0.0052197133 0.003520272 0.0069191554 0.0014566643 0.0018208303 0.01565914 0.011531925 0.005826657 0.0052197133 0.006554989 0.0024277738 0.007283321 0.014809419 0.0074047097 0.0040058265 0.020757465 0.0018208303 0.0030347172 0.0016994416 0.0021849964 0.0013352756 0.0033988832 0.015173586 0.0021849964 0.052925467 0.0014566643 0.047827143 0.028283564 0.011167759 0.0118960915 0.03046856 0.007283321 0.003884438 0.0396941 0.014445254 0.04139354 0.0020636076 0.012381646 0.0087399855 0.0101966495 0.016266083 0.0078902645 0.001942219 0.03799466 0.013959699 0.028404953 0.006554989 0.027676621 0.01650886 0.004127215 0.004734159 0.0024277738 0.0013352756 0.0018208303 0.031196892 0.0020636076 0.0026705512 5.7642035 2.0 0.0 0.0 1.0 176128.0 176128.0 0.0 0.0 120.0 0.0 1.0 0.0 0.0 0.0 1099933200.0 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 135168.0 4096.0 4096.0 4.0 0.0 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 28672.0 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 -135168.0 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 7.990168 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.658393 0.0 3.795941 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 -3896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131164.0 0.0 2196.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 132564.0 2196.0 143360.0 0.0 0.0 0.0 0.0 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 1688.0 648.0 4096.0 0.0 0.0 0.0 0.0