Input: 0.033950254 0.006270274 0.004857824 0.005526686 0.003963558 0.0041724243 0.003910882 0.0040045963 0.004199375 0.003626677 0.003676903 0.003854531 0.0037718422 0.0040143966 0.0037614293 0.005586712 0.0041356734 0.0035292879 0.0034557865 0.0035133625 0.0033816728 0.0038355433 0.0035942139 0.0034233234 0.003878419 0.0035556257 0.0035421506 0.0034282235 0.0038343181 0.003626677 0.0035819637 0.0036738403 0.0043273894 0.0034931498 0.0034392488 0.0034649742 0.0059964815 0.0034484363 0.00337126 0.0034423112 0.0036634277 0.0032389576 0.0033234842 0.0035060125 0.0034465988 0.0036818031 0.003561751 0.003562976 0.004485417 0.003619327 0.0034962122 0.004195087 0.003624227 0.0032916337 0.0033743226 0.003513975 0.0039231325 0.0035256126 0.0035158126 0.0043396396 0.003597889 0.0036897657 0.0036622027 0.003996021 0.00409096 0.0053380327 0.0036064642 0.0038373808 0.004802698 0.0042238752 0.0034288361 0.0036040142 0.011580131 0.0046281326 0.003349822 0.0035164251 0.0047144964 0.0037914424 0.0034447613 0.003575226 0.0038226806 0.0034735494 0.003202207 0.003566651 0.0035960516 0.0035182626 0.0033632973 0.0035825763 0.0035770636 0.0033155214 0.0032677457 0.0033204216 0.0037338664 0.0035268378 0.0034710993 0.0037963425 0.0037816423 0.0038980194 0.0033289967 0.0037565294 0.0036885405 0.0038667812 0.004389253 0.0035292879 0.0037326415 0.0037651046 0.003292246 0.0034318985 0.003855756 0.0035274504 0.0037363165 0.0039666207 0.0041381237 0.0033890228 0.0038790316 0.003999084 0.0057190144 0.0044027283 0.0035145876 0.00364934 0.0037553043 0.003592989 0.0035158126 0.003545213 0.0036150394 0.0035599133 0.0035635885 0.0037320289 0.003210782 0.0034870245 0.003650565 0.0057661775 0.00406401 0.0051052785 0.003572776 0.0035488883 0.0036389274 0.0056951265 0.0033779975 0.008410387 0.0034649742 0.005274944 0.0034741617 0.0034704867 0.0038024676 0.0033608472 0.0034588492 0.0033559473 0.0033381844 0.0033694224 0.0032830585 0.0035011123 0.0035103 0.0032806084 0.0032953087 0.0033020463 0.0033920854 0.0034220985 0.003485187 0.003567876 0.0034380236 0.003655465 0.0034459864 0.0034796745 0.0032420203 0.0033969854 0.0033259343 0.0034943747 0.003569101 0.0032450827 0.0031942443 0.0032965336 0.0032732582 0.0032377327 0.0034141357 0.0034245485 0.003676903 0.00336636 0.0032953087 0.0033896354 0.0033516597 0.0033504346 0.0033253217 0.0037038533 0.0038153303 0.003420261 0.0036677152 0.0034269984 0.003314909 0.0035201001 0.0034925372 0.003620552 0.0045289057 0.004338415 0.0038373808 0.0044866423 0.0038251306 0.003453949 0.0035360255 0.0040609473 0.0038563686 0.0037724546 0.0034423112 0.0035207127 0.0053594704 0.0034055605 0.0036444399 0.003713041 0.0037902175 0.0036462774 0.0035544008 0.0035519507 0.0034906997 0.0031875067 0.003308784 0.0034533364 0.0037185536 0.003562976 0.003360235 0.0034998872 0.003390248 0.0034735494 0.0034949873 0.003626677 0.0037252912 0.003758367 0.0034374113 0.0034808994 0.0033406345 0.0033541096 0.0034349612 0.00351765 0.0052577937 0.0038753564 0.0034968248 0.0040339967 0.0037853173 0.0034484363 0.0034870245 0.0037075286 0.00392742 0.0035831889 0.0035421506 0.0035286753 0.0035825763 0.0035041748 0.004012559 0.0037540793 0.0040431847 0.0037014033 0.0036965034 0.003700791 0.003680578 0.0036762904 0.00408361 0.007398519 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020745057 4.9042686e-05 4.3218868e-05 2.1762693e-05 0.000114943796 4.965572e-05 2.1149659e-05 1.6551907e-05 8.888987e-06 1.01150545e-05 1.9310557e-05 8.58247e-06 7.969436e-06 1.1954155e-05 8.275953e-06 4.505797e-05 0.002948385 7.8161785e-05 7.6935714e-05 3.0958196e-05 0.00018850782 3.616898e-05 0.00013548043 8.2759536e-05 1.8391007e-05 2.7586511e-05 2.6053927e-05 2.1456175e-05 2.1762693e-05 2.4214827e-05 1.4099773e-05 3.555595e-05 0.0040536844 5.455999e-05 0.0001808449 2.881258e-05 0.00029119095 9.042245e-05 0.00031724488 0.00022406377 4.01537e-05 0.00014375638 5.0881787e-05 2.5440893e-05 2.2682243e-05 2.2682243e-05 5.4866505e-05 4.8429654e-05 0.002078184 4.7203586e-05 0.000119541546 5.6092573e-05 9.011594e-05 5.1188304e-05 0.00035494645 0.00020138154 2.0843141e-05 2.8199545e-05 1.624539e-05 1.3486739e-05 1.624539e-05 1.3486739e-05 8.58247e-06 2.298876e-05 0.002227151 8.919639e-05 0.000117702446 0.00012168717 0.0001661321 0.00014375638 0.00046805115 0.00023479186 3.4636396e-05 2.0230109e-05 2.6360443e-05 2.0230109e-05 1.6858423e-05 1.1954155e-05 2.4214827e-05 4.3525386e-05 0.0037367463 0.0004254453 0.00017410154 0.00023111366 0.00033931408 0.0003396206 0.000922309 0.000611501 0.00010728088 7.540313e-05 9.318111e-05 6.498156e-05 9.655279e-05 6.2222905e-05 0.00012720448 0.0001259784 0.0039488557 0.0002464395 0.00022007906 0.00021517479 0.00022253119 0.00024000264 0.0007246057 0.00046621205 0.0001713429 0.00024950466 0.00017563412 0.000112185146 0.00011739593 0.00012076762 0.00011984807 0.0001823775 0.0022320552 0.00013241525 0.00016582558 0.00015111278 0.0001535649 0.00011463728 0.00027157387 0.0001679712 0.00016214738 0.00014467593 0.00010513526 0.000107587395 0.00015908222 0.0001223002 9.808537e-05 0.00010605481 0.0044003553 0.00036996577 0.00070192345 0.00050912437 0.0019656923 0.00032153612 0.00033870107 0.0004999289 0.0019794854 0.00033870107 0.00048490957 0.00037119183 0.0008573275 0.00026421747 0.0004162498 0.0006188574 0.017600501 0.002848767 0.00413767 0.0029511438 0.013720611 0.0025514457 0.0018387942 0.0036104613 0.011706183 0.00084077555 0.00061395316 0.0018749632 0.0070066676 0.0017744257 0.0034427966 0.005087872 0.004091999 0.0009805472 0.001195109 0.0015111278 0.002603247 0.0008977877 0.0014210119 0.0013548043 0.0022228598 0.00035310735 0.0005459064 0.000501155 0.0013474479 0.00069456705 0.0009180178 0.0013324285 0.049503993 0.052673377 0.05184425 0.054011937 0.05169743 0.051316123 0.05270679 0.05410665 0.05277422 0.052518282 0.05200517 0.052648857 0.0531448 0.05300227 0.0539396 0.055797398 7533.0 6.69242 50414.0 0.016007459 0.0077161104 0.008271512 0.008013647 0.013825525 0.007517753 0.008291348 0.0075574247 0.008192169 0.0076367673 0.008013647 0.0077756178 0.0069821873 0.008152497 0.011960963 0.009521165 0.015412386 0.01071131 0.009798866 0.010155909 0.008688062 0.0074780816 0.0076169316 0.0076962747 0.0107906535 0.00874757 0.00809299 0.009441822 0.008926092 0.008132662 0.008787242 0.008489706 0.008807077 0.022116872 0.0077161104 0.011564248 0.010036894 0.009441822 0.008866585 0.009679851 0.013865196 0.009600508 0.0070615304 0.007914469 0.009858373 0.009124449 0.009124449 0.008489706 0.011028683 0.007835126 0.009144286 0.010770817 0.010909668 0.010334431 0.011822113 0.012456858 0.008350855 0.0069623515 0.0076169316 0.007517753 0.0092633 0.009421986 0.009699686 0.0127345575 0.007755782 0.016761217 0.008926092 0.014559448 0.013924703 0.021164756 0.013647003 0.009580672 0.00991788 0.017633991 0.00743841 0.0072995597 0.0133097945 0.01356766 0.014420598 0.02128377 0.012575872 0.0074979174 0.018903479 0.016880231 0.023445869 0.011524577 0.008112825 0.009084778 0.009600508 0.009243464 0.007676439 0.007854961 0.008251676 0.007735946 0.008152497 0.008727734 6.511688 3.0 20.0 0.0 27.0 1632624.0 1642496.0 1.0 0.0 121.0 1.0 1.0 1.0 0.0 0.0 1542188500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 173056.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 1372672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.35198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0257072 0.0 0.0 0.0 0.0 5.4312973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8524575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4477334 0.0 7.9982853 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55482.0 0.0 0.0 0.0 0.0 8760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172667.0 0.0 1372512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 232252.0 1372512.0 262144.0 8760.0 249856.0 15728.0 1616896.0 1524.0 1638400.0 84.0 216784.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 189216.0 0.0 0.0 1000.0 189480.0 0.0 0.0 0.0 0.0


Input: 0.28066823 0.030605884 0.036382146 0.015728889 0.028922873 0.0052568153 0.0148562165 0.009100731 0.012175865 0.003885472 0.024310173 0.003927028 0.0060048206 0.0025349068 0.0047581447 0.0017245678 0.0024102393 0.011947307 0.0062749335 0.007480053 0.0020570147 0.0030127992 0.007874833 0.003885472 0.003095911 0.0030127992 0.002244016 0.0015375665 0.0026180185 0.0012882313 0.0028881317 0.004716589 0.007854056 0.0017037899 0.0035114693 0.0019115692 0.003594581 0.0014960107 0.0014544547 0.0018700133 0.010201962 0.003366024 0.007438497 0.0034906915 0.0035738032 0.0025764627 0.0035322474 0.0020777925 0.005734707 0.0026595744 0.001392121 0.0026180185 0.0010596742 0.001392121 0.001371343 0.0042594746 0.001371343 0.0014960107 0.0010804521 0.0004986702 0.0010804521 0.00076878327 0.0012258976 0.0014128989 0.0015999003 0.0025972407 0.0014752328 0.0029712433 0.0019946808 0.0011843417 0.001953125 0.0012051197 0.0012466755 0.0037400266 0.00035322472 0.00074800535 0.0023479057 0.001371343 0.0011427859 0.0012466755 0.003843916 0.0009557846 0.0015583445 0.0034699135 0.0024517952 0.00093500665 0.0015791224 0.0010388963 0.0023479057 0.0023686835 0.00083111704 0.0010181183 0.000561004 0.0003947806 0.0004778923 0.010575964 0.00072722737 0.015334109 0.0026803524 0.00791639 0.012071975 0.026969748 0.0023894615 0.007251496 0.0033868018 0.017910572 0.00035322472 0.0035114693 0.010181184 0.0035114693 0.012861536 0.026491854 0.00390625 0.00029089095 0.014274435 0.00831117 0.021962266 0.00390625 0.0021816823 0.0016414562 0.0015375665 0.0021609042 0.0008726729 0.011531749 0.0014336768 0.0043010307 0.0020570147 0.003095911 0.005817819 0.0026595744 0.00051944813 0.00014544548 0.00062333775 0.00012466755 0.0037192486 0.00031166887 0.00037400267 0.00043633644 0.00018700134 0.00022855718 0.0003947806 0.00043633644 0.00020777926 0.0021401264 0.00031166887 0.00072722737 0.00020777926 0.0002493351 0.00041555852 0.001392121 0.0004778923 0.00043633644 0.0007895612 0.00051944813 0.0006441157 0.0002493351 0.00054022606 0.00037400267 0.00043633644 0.00045711437 0.00029089095 0.0006025598 0.00037400267 0.00054022606 0.00029089095 0.00027011303 0.0002493351 0.00027011303 0.0006441157 0.00041555852 0.0002493351 0.00043633644 0.00027011303 0.00020777926 0.00020777926 0.0006441157 0.00020777926 0.0002493351 0.0003947806 0.0003324468 0.00041555852 0.00043633644 0.00035322472 0.00051944813 0.00043633644 0.00020777926 0.0003324468 0.00045711437 0.00037400267 0.00014544548 0.00012466755 0.0005817819 0.0005817819 0.0003947806 0.0002493351 0.00020777926 0.0009765625 0.00045711437 0.0012051197 0.0004778923 0.00041555852 0.00051944813 0.0004778923 0.00020777926 0.00041555852 0.00051944813 0.0002493351 0.00035322472 0.0004778923 0.0002493351 0.0004778923 0.00035322472 0.00043633644 0.00022855718 0.00022855718 0.0003947806 0.00035322472 0.0003324468 0.00022855718 8.31117e-05 0.00018700134 0.0001662234 0.0007895612 0.0014544547 0.00091422873 0.0003947806 0.0003324468 0.0004778923 0.0004986702 0.00037400267 0.0015583445 0.00054022606 0.00070644944 0.00035322472 0.0002493351 0.0003324468 0.00035322472 0.0001662234 0.00020777926 0.00020777926 0.00035322472 0.0002493351 0.00035322472 0.00027011303 0.00027011303 0.00029089095 0.00020777926 0.00031166887 0.0004778923 0.00031166887 0.00029089095 0.00031166887 0.00014544548 0.00014544548 0.00051944813 0.00072722737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017609969 3.184443e-05 0.00037151834 0.00040336276 0.00046705164 0.00025475543 0.0017620585 0.00067934784 4.245924e-05 0.0 1.061481e-05 2.122962e-05 0.0 4.245924e-05 2.122962e-05 2.122962e-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 0.034158457 0.0034816577 0.002897843 0.00072180707 0.004468835 0.006984545 0.039444633 0.014584749 0.00015922215 0.00067934784 0.00019106657 0.0003290591 0.00011676291 0.00027598505 0.00013799252 6.368886e-05 0.061725117 0.0074622114 0.008014182 0.0028553838 0.008322011 0.010827106 0.06309443 0.031706437 0.00019106657 0.00026537024 1.061481e-05 0.00026537024 0.00041397757 0.00039274796 0.0 0.000106148094 0.17776622 0.019690473 0.024159307 0.009086277 0.0048509683 0.0067085596 0.022046959 0.020762568 0.0063370415 0.0015285326 0.0014754586 0.0015816067 0.003078295 0.0021972656 0.0015922214 0.0014860734 0.052044414 0.009903617 0.007515285 0.003396739 0.0021017324 0.003524117 0.014245075 0.0075046704 0.0009659477 0.001507303 0.0009765625 0.0007536515 0.0006475034 0.00088102923 0.0016559103 0.0010720958 0.12028702 0.024838654 0.014170771 0.012037194 0.0069420855 0.0064007305 0.014542289 0.008714759 0.010084069 0.0041610054 0.002961532 0.0023246433 0.0030995244 0.0024095618 0.0038744055 0.002282184 0.010455588 0.0019000509 0.0030039912 0.001231318 0.0003078295 0.0003078295 0.0005944293 0.00046705164 0.00089164404 0.00024414062 0.00045643683 0.0003078295 0.00049889606 0.00027598505 0.00049889606 0.00029721466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 581.0 18.0895 10510.0 0.0010466223 9.514748e-05 0.0 0.00028544242 0.0011417697 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.514748e-05 0.00095147477 0.0072312085 0.0 0.0046622264 0.0011417697 0.0010466223 0.00057088485 0.0012369172 0.00047573738 0.0008563273 0.00038058992 0.00028544242 0.0013320647 0.0 0.0 0.0014272121 0.00066603237 0.0014272121 0.0 9.514748e-05 0.008372978 0.0033301618 0.011227403 0.0066603236 0.0024738344 0.0057088486 0.0025689818 0.002188392 0.014747859 0.00038058992 0.00038058992 0.0044719316 0.0039010467 0.00047573738 0.0035204566 0.014176974 0.0 0.003996194 0.013891532 0.008753568 0.0018078021 0.0037107517 0.0028544243 0.00057088485 0.0 9.514748e-05 0.0 0.0 0.0 0.0 0.04500476 0.00028544242 0.06365366 0.010371075 0.032730732 0.051094197 0.11712655 0.009514748 0.030447192 0.012654615 0.07316841 0.00019029496 0.005803996 0.043101806 0.010275927 0.053472884 0.05775452 0.014176974 0.00019029496 0.05737393 0.028544243 0.09153187 0.015984775 0.008753568 0.005803996 0.004567079 0.0077069458 0.0017126546 9.514748e-05 0.0 9.514748e-05 0.0 9.514748e-05 4.7963076 0.0 0.0 0.0 1.0 48128.0 73728.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1395753700.0 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 11.0 0.0 4.0 0.0 4.0 0.0 46080.0 512.0 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 -46080.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7608294 0.0 3.1832757 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 -45684.0 0.0 888.0 0.0 0.0 0.0 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 83.0 53784.0 888.0 57344.0 0.0 0.0 0.0 0.0 12.0 65536.0 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: 0.02354033 0.0044359793 0.003966005 0.0040077968 0.0048144883 0.0038974518 0.0037332173 0.0038246827 0.0043965704 0.0037104883 0.0036142573 0.0036545827 0.003981402 0.0036309373 0.0037125046 0.004287692 0.004023377 0.0036039928 0.003609125 0.0035999601 0.0038254159 0.0038169841 0.0036281878 0.0036426685 0.003700407 0.0036382691 0.0035484536 0.003573382 0.0036212227 0.003599777 0.0036148073 0.0037359667 0.0043903384 0.00361719 0.0036188397 0.0035951943 0.0038609756 0.003556152 0.0035139937 0.0035876792 0.0036355199 0.003585663 0.0035165597 0.0037136045 0.0036302041 0.0036976575 0.0037141545 0.0036322204 0.0039951494 0.003733584 0.0036980242 0.0042222547 0.0037264354 0.003652933 0.0036538495 0.0036441348 0.0036694298 0.0038778388 0.0036925252 0.0039847014 0.003840813 0.0037858237 0.0037671274 0.0038288985 0.003977186 0.0037997542 0.0039751697 0.0037456816 0.004504166 0.0048526144 0.0037592456 0.0036752953 0.0037799582 0.003608575 0.0035896956 0.003626905 0.0035572518 0.0039170645 0.003669613 0.003647434 0.0042092404 0.0036686966 0.003586396 0.0037913225 0.0036083919 0.0039110156 0.0039429097 0.0038448453 0.003656049 0.003835314 0.0035150934 0.0036058256 0.0036481672 0.0039276956 0.0038875537 0.0038681242 0.0035781476 0.004112093 0.0035510198 0.0038424626 0.0038518107 0.004420399 0.003796455 0.0036628311 0.0038169841 0.0041014617 0.0039685713 0.003644318 0.0040955963 0.0037674939 0.0040263096 0.0040545375 0.003835314 0.003553769 0.0040783663 0.0040407903 0.004783511 0.004566487 0.0037992042 0.0036906924 0.0037112215 0.0037306512 0.0035977606 0.0036160904 0.0037761088 0.003774276 0.0036914255 0.0036903257 0.0037841739 0.003626355 0.0035490035 0.0045549395 0.0037874733 0.004242601 0.003588779 0.0036355199 0.0054135043 0.004426631 0.0035871293 0.0064958753 0.003603076 0.0042268373 0.0035990437 0.003581447 0.0036844602 0.0035664167 0.005301326 0.0035951943 0.0036270882 0.0035790643 0.0035031792 0.003550653 0.0035655003 0.0035224254 0.003497497 0.0035035457 0.0036058256 0.0035772312 0.0035477204 0.0036087583 0.0036193896 0.0036138906 0.0034799003 0.0035497367 0.0035611012 0.0035435045 0.0035095946 0.0035484536 0.0035281077 0.003501346 0.0035330565 0.0035066619 0.0035823635 0.003495114 0.0035152768 0.0035953778 0.0036776783 0.0035995934 0.0035726489 0.0035797975 0.0035642171 0.0035479036 0.003679328 0.0036472508 0.00361664 0.003560368 0.0035400218 0.0036131574 0.003662648 0.0035583517 0.0036608148 0.0036688799 0.0042448 0.0038776556 0.003826149 0.0039020341 0.003789856 0.0035594513 0.0037026065 0.003943826 0.003809469 0.0037698767 0.0036270882 0.003599227 0.00470451 0.0034943807 0.0037784916 0.0037154374 0.0037147042 0.003591895 0.0036043592 0.0035737485 0.0035926283 0.003551203 0.0035849297 0.0035858462 0.003777942 0.003631854 0.0035062952 0.003707189 0.0036131574 0.0036237887 0.003559268 0.0036353364 0.0039421762 0.0036120578 0.003614074 0.0035539526 0.0037357835 0.0036758452 0.0035339731 0.0036369863 0.0048304354 0.003760162 0.003556702 0.0039264127 0.004070118 0.0036456012 0.0035317736 0.0036397357 0.0040151286 0.003704073 0.0036587985 0.003715804 0.0036899592 0.0035367226 0.0037874733 0.0037456816 0.0039918497 0.003680061 0.0036531163 0.0037467813 0.004031442 0.0037390827 0.0038527271 0.01696747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00016667205 9.1678794e-07 0.0 6.4175157e-07 0.0 0.0 0.0 7.3343034e-07 1.7418971e-06 0.0 0.0 0.0 1.1001455e-06 0.0 1.3751819e-06 1.4576928e-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 0.00021636195 1.9252545e-06 4.5839397e-07 5.5007274e-07 2.7503637e-07 2.7503637e-07 2.7503637e-07 1.6502182e-06 3.9971954e-05 3.7955022e-05 2.7503637e-07 4.5839397e-07 3.0254002e-06 1.0084667e-06 1.7418971e-06 0.0004448255 0.00040815398 4.400582e-06 2.1086123e-06 1.4026855e-05 1.5127001e-05 1.5585395e-06 1.9252545e-06 3.0254002e-06 0.0001383433 0.00014402738 7.4259824e-06 2.4753274e-06 8.067734e-06 3.4837942e-06 2.4661595e-05 0.0016620448 0.0014551257 1.1918243e-05 3.19959e-05 2.3928165e-05 5.6749173e-05 1.0451382e-05 0.000110747984 5.784932e-05 0.00028172892 0.00027558644 1.5402036e-05 1.7327291e-05 1.6227146e-05 1.8060722e-05 4.9506547e-05 0.0016980746 0.0048125866 8.150245e-05 0.00031528337 4.5747718e-05 0.0002865879 7.7743614e-05 0.0009497923 0.00047232915 0.00088158326 0.0008987272 5.6749173e-05 4.9689905e-05 4.8956474e-05 5.1890198e-05 0.0001080893 0.003818055 0.0035764815 7.224289e-05 0.0003796419 0.00023854822 0.0002983228 6.802566e-05 0.00088946766 0.0004080623 0.0004613277 0.0004772798 4.5931076e-05 5.5832385e-05 5.8674428e-05 8.856171e-05 0.00011414009 0.0017798521 0.002034719 6.004961e-05 0.00020563553 0.00017556488 0.00042786493 0.00016172139 0.0009746372 0.00051716005 0.00018638298 0.0001751065 6.628377e-05 0.00011762389 7.966887e-05 3.190422e-05 0.0001366014 0.00065733696 0.002247964 0.000118173964 0.00022763845 0.00023451436 0.00051523483 0.0002351561 0.0007945801 0.00046141937 8.443617e-05 9.442915e-05 6.692552e-05 7.508493e-05 7.673515e-05 5.390713e-05 7.856872e-05 0.0002679771 0.0010192848 0.00012908374 0.00016089628 0.0015607398 0.00024918295 0.00015622066 0.00030840747 0.00020664399 0.00015411204 0.00013375936 0.00012083265 0.000115606956 0.00012954214 0.00012715849 0.00011349835 0.0001967427 0.00060618017 3.850509e-05 7.0500995e-05 0.00022855523 0.00015612898 7.655179e-05 0.00021205304 0.00012734185 0.00016896402 5.326538e-05 4.9964943e-05 7.425982e-05 7.196785e-05 4.0613704e-05 6.0324644e-05 0.00021792049 0.0052743726 0.0009158711 0.00060205464 0.0009686781 0.0016661704 0.0017863613 0.00079549686 0.0013074313 0.0034403384 0.00026394325 0.0002676104 0.00042548127 0.0024276543 0.00053109525 0.001423955 0.002875322 0.0051685753 0.0011943913 0.0008334519 0.0013033974 0.0019920885 0.0021884644 0.0010614571 0.0018146901 0.0037796416 0.0002983228 0.00036589007 0.00043547427 0.0021541766 0.000763501 0.0016207894 0.0030016555 0.056142993 0.056155004 0.05603582 0.055970453 0.05602757 0.0557485 0.05618049 0.056555822 0.056092296 0.055996306 0.055629134 0.056389607 0.056281153 0.056152526 0.056543995 0.056896683 25160.0 6.6493244 167297.0 0.013204062 0.008541696 0.009551874 0.008236848 0.009922473 0.008039595 0.008015685 0.0087269945 0.008463989 0.008493876 0.008195006 0.008607446 0.009372553 0.009258983 0.013227972 0.009318757 0.012743803 0.010669648 0.010179501 0.010179501 0.010119727 0.009946383 0.01008984 0.009492101 0.00965349 0.010024088 0.009808903 0.009575784 0.010496303 0.010119727 0.010149614 0.010334914 0.011679827 0.010281117 0.009324734 0.010496303 0.010185478 0.009025864 0.009342666 0.009420373 0.010316981 0.009874654 0.008673198 0.008732972 0.009994202 0.008738949 0.008918271 0.008320532 0.011345093 0.00841617 0.009468191 0.010239275 0.009970292 0.009360598 0.010083863 0.0096116485 0.009551874 0.008446057 0.008165119 0.008386283 0.010532168 0.0081471875 0.008601469 0.00953992 0.008924249 0.016085166 0.00928887 0.013556728 0.012570458 0.023843823 0.009617626 0.010173524 0.009868677 0.017256735 0.008936203 0.008619402 0.017095346 0.012534594 0.016150918 0.016838318 0.011243477 0.008183052 0.018428303 0.015553178 0.019426528 0.010890811 0.010544122 0.0088047 0.0101376595 0.010024088 0.008212939 0.008224893 0.008798723 0.008039595 0.008230871 0.007943956 6.5412083 0.0 38.0 0.0 82.0 5455616.0 5459968.0 1.0 0.0 213.0 1.0 1.0 1.0 1.0 0.0 1539002000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14.0 5.0 1.0 5.0 1.0 267776.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -267776.0 0.0 5071872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.04463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4490194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6177993 0.0 7.9764686 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 71814.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14452.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -267754.0 0.0 5071524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 140.0 341188.0 5071524.0 364544.0 0.0 0.0 16640.0 5438976.0 16640.0 5439488.0 84.0 320384.0 0.0 0.0 0.0 0.0 24.0 320632.0 64.0 320472.0 0.0 0.0 876.0 274432.0 0.0 0.0 0.0 0.0


Input: 0.120661534 0.015253947 0.011078582 0.003245694 0.009080604 0.0022426278 0.0051702764 0.004876696 0.0033639418 0.002373108 0.014132633 0.0020876827 0.002487278 0.0021121476 0.00192866 0.0026055258 0.0017859472 0.0034821895 0.003196764 0.0026829985 0.0018430323 0.0028134787 0.0027808587 0.0024832007 0.0021039927 0.0026707659 0.0022956354 0.0018674973 0.0032742368 0.0025688282 0.0022426278 0.0039184825 0.004477101 0.0021529228 0.0019041949 0.0024342707 0.0035148095 0.0024016507 0.0025239757 0.002760471 0.0040204204 0.0029276488 0.0029969662 0.0030295863 0.0025606733 0.0035882045 0.0033435542 0.0029806562 0.003131524 0.0032946242 0.0028868737 0.0027563935 0.0027563935 0.002976579 0.002348643 0.003090749 0.0030173538 0.0030622063 0.0032538492 0.0029847338 0.0031356015 0.0038002348 0.00390625 0.0037594598 0.0025321308 0.0033680194 0.0025688282 0.004574961 0.0033394769 0.00400411 0.00406935 0.003995955 0.003131524 0.0057085073 0.0032783141 0.0032987017 0.0034577243 0.0049827113 0.003229384 0.00403673 0.0032375392 0.0030214314 0.0046483558 0.0054026945 0.0041712876 0.0035392744 0.003624902 0.0039266376 0.003082594 0.0029154161 0.003543352 0.0033027793 0.0031845316 0.0039755674 0.0034740344 0.004301768 0.0021203028 0.0053619193 0.0032579268 0.0049582464 0.0038124674 0.009908338 0.0032171516 0.0037798474 0.003090749 0.0070010764 0.0029439589 0.00397149 0.0060917926 0.0056636548 0.0060999477 0.015147932 0.007005154 0.0033150117 0.009308944 0.008004143 0.00954544 0.0055576395 0.0034414143 0.0036697546 0.0037594598 0.0035718945 0.002752316 0.008183553 0.003229384 0.0038206223 0.0032212292 0.003445492 0.003404717 0.0029521137 0.0021773877 0.0021773877 0.0020958376 0.0022303953 0.0020509851 0.0025198981 0.0023527206 0.0022752478 0.0024342707 0.0022711705 0.0026381458 0.002744161 0.0025484408 0.0028094011 0.0016717771 0.0021529228 0.0020265202 0.0023445655 0.001969435 0.0029276488 0.002381263 0.002503588 0.002373108 0.0021080703 0.0028257112 0.0019653575 0.0025158208 0.0024913556 0.0024301931 0.0026585334 0.0016554671 0.0023771855 0.0022793254 0.002422038 0.0021488452 0.0025443633 0.0019082724 0.0026259134 0.0018838074 0.0026829985 0.0019775901 0.0022630154 0.003355787 0.0031886091 0.0025729057 0.0026993086 0.0021366128 0.002695231 0.0019898226 0.0022793254 0.003090749 0.002736006 0.0019041949 0.0021039927 0.0025688282 0.0026585334 0.002348643 0.002283403 0.0025565957 0.0020142875 0.0022467053 0.0021488452 0.0021243803 0.0021366128 0.0021406903 0.0023241779 0.0028460987 0.0023690306 0.0022018529 0.0029643462 0.0023078679 0.0020754503 0.0020836052 0.0019816675 0.0020061326 0.0019612801 0.0016636221 0.0023037905 0.0017981798 0.0020632176 0.0021162252 0.0021773877 0.0021936977 0.0021284577 0.0031274464 0.002373108 0.0017981798 0.0020795276 0.002629991 0.0019979775 0.0021080703 0.0018878849 0.0018634199 0.0018674973 0.0021366128 0.0028991061 0.0025158208 0.0025647508 0.002002055 0.0020713727 0.0019490474 0.0021488452 0.0017451722 0.0020958376 0.002976579 0.0031029815 0.0033313218 0.0028624088 0.0019245824 0.0020428302 0.0028542536 0.0032334616 0.0020387527 0.001920505 0.0021936977 0.0021814653 0.0027482386 0.0021162252 0.003494422 0.0019490474 0.0022548605 0.0024179607 0.0029847338 0.0022915578 0.0036819873 0.07051638 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011589499 0.00059291295 0.00049443607 0.00041647517 0.00046981682 0.00020516019 0.001339696 0.0014176569 5.539325e-05 8.206408e-06 5.1290048e-05 1.025801e-05 1.025801e-05 2.2567621e-05 1.23096115e-05 0.0001107865 0.025429605 0.0019551767 0.001278148 0.0006934414 0.0011776194 0.00080627954 0.0047084265 0.0048479354 0.00012104451 0.000100528494 0.00020105699 0.00015592175 0.00011694131 0.00013540573 0.0001046317 0.00018464417 0.039263558 0.0035431164 0.002730682 0.0010196462 0.003091764 0.002654773 0.013444147 0.013916016 0.0011406906 0.00047392002 0.0007488347 0.0002995339 0.0002195214 0.00056829373 0.00040416556 0.00051495206 0.021726465 0.0020167246 0.0024516643 0.00068318343 0.000906808 0.0008596212 0.0023326713 0.003937024 0.00079807313 0.001097607 0.0009580981 0.00029337907 0.00036313353 0.00091911765 0.00042057838 0.0022526588 0.026065603 0.0026096376 0.005652163 0.0073160124 0.01209009 0.011437681 0.011000689 0.009396337 0.0040991004 0.002106995 0.0008719308 0.0012945608 0.00090885966 0.00067292544 0.0005436745 0.042589203 0.026529264 0.0021213563 0.0045832787 0.006316882 0.008706998 0.0072852382 0.008347968 0.005822446 0.0029830292 0.0012063419 0.0011488971 0.0016146107 0.0018833706 0.0007303703 0.0011345359 0.020425748 0.019457392 0.0014135537 0.0032640987 0.0034959295 0.005492138 0.0049710316 0.015362395 0.009769728 0.0030322676 0.0028209526 0.0032353762 0.0035656842 0.002065963 0.0012166 0.0044253054 0.004646878 0.0013663669 0.00014361214 0.00030158547 0.00027081146 0.00015797335 0.00017643777 0.000644203 0.00042878478 0.0001046317 7.385767e-05 7.590927e-05 0.0001107865 9.642529e-05 8.411568e-05 6.5651264e-05 0.000100528494 0.0019449185 0.00035903032 0.00062984176 0.00051495206 0.00049033284 0.00046776523 0.0006503578 0.00050469406 0.0003344111 0.0003344111 0.0003467207 0.00030158547 0.00028722428 0.0003282563 0.00034056592 0.00056829373 0.026451303 0.027427865 0.026213318 0.029596409 0.027235014 0.030780183 0.028632157 0.031857274 0.027179621 0.029321494 0.031145368 0.03031652 0.029750278 0.029744124 0.03114742 0.037991565 1330.0 12.7263155 16926.0 0.0068533616 0.0012997754 0.0027767932 0.0021859861 0.0015360983 0.0016542597 0.0012406948 0.0011816141 0.0016542597 0.0023632282 0.0014770176 0.0023041475 0.0038993265 0.0023041475 0.011107173 0.0021859861 0.007148765 0.006617039 0.007916815 0.0035448424 0.0033676 0.0047855373 0.0023632282 0.003603923 0.0027767932 0.0027767932 0.0025995509 0.0013588562 0.0027177124 0.0051991018 0.0021859861 0.0020678246 0.0010634527 0.0063216356 0.004962779 0.017428808 0.0077395723 0.0048446176 0.0043719723 0.003781165 0.0038993265 0.018846745 0.0024223088 0.0036630037 0.006262555 0.0217417 0.0040765684 0.003781165 0.008271298 0.0024813896 0.00838946 0.026704479 0.0134704 0.0037220845 0.0047855373 0.0035448424 0.0016542597 0.0014770176 0.0020678246 0.0017724212 0.0024813896 0.0021859861 0.0021859861 0.016069952 0.0008862106 0.030603806 0.012111545 0.02091457 0.017428808 0.081176884 0.010220962 0.013529481 0.00584899 0.04342432 0.0024223088 0.01092993 0.045846626 0.031726338 0.039052345 0.062271062 0.020678246 0.003190358 0.04637835 0.030544724 0.075032495 0.029599432 0.0050809407 0.006617039 0.0061443932 0.011816141 0.0031312774 0.0019496633 0.0019496633 0.0023041475 0.0018315018 0.0018315018 5.581794 0.0 0.0 0.0 5.0 245248.0 270336.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1467598600.0 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 8.0 0.0 4.0 0.0 4.0 0.0 227328.0 512.0 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 -227328.0 0.0 16896.0 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 -7.3211203 0.0 5.1037717 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 -226932.0 0.0 16680.0 0.0 0.0 0.0 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 235036.0 16680.0 237568.0 0.0 0.0 0.0 0.0 12.0 262144.0 28.0 234884.0 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: 0.056881174 0.008304633 0.006182488 0.0056607854 0.005757435 0.0049634497 0.004201681 0.0054269545 0.0050497074 0.0056327255 0.00374649 0.004476042 0.0049540964 0.003168668 0.0043191155 0.004634008 0.0050372365 0.0037558433 0.004936429 0.0041549145 0.0043586073 0.0031790603 0.004110227 0.0038379438 0.0050756885 0.0033422224 0.00316555 0.0029286016 0.0041434825 0.0034399116 0.0037911776 0.0037953346 0.006175213 0.0038119627 0.0034887565 0.0030200554 0.004894859 0.004164268 0.00384314 0.0037236265 0.0047316975 0.0038919847 0.003335987 0.003093842 0.0043721176 0.0037288228 0.0037194695 0.0035822887 0.0055111335 0.0039512217 0.0030979991 0.0028943063 0.0036727034 0.0030761748 0.0026885353 0.0028516972 0.0041725817 0.0033131235 0.0035188945 0.0033391046 0.0040094196 0.003219591 0.0035012274 0.0034534219 0.006602344 0.0039512217 0.0036155446 0.0032206303 0.004156993 0.0032175125 0.0035407187 0.0030668215 0.0050008628 0.003776628 0.0037038808 0.003587485 0.0041455613 0.0031374905 0.0035583861 0.00347005 0.0051733777 0.003625937 0.0036477614 0.0033380655 0.0039273193 0.003374439 0.003361968 0.0035396796 0.004654793 0.003641526 0.0038078055 0.003500188 0.0040998342 0.003382753 0.0036830958 0.0037818244 0.0059174797 0.0036228194 0.0033494972 0.002951465 0.0040135765 0.0030574684 0.0032725928 0.0030294086 0.0049676066 0.0031624325 0.0031967277 0.0030449973 0.0035781318 0.0028288336 0.0030865674 0.0031977668 0.004509298 0.003298574 0.0032237482 0.003131255 0.0038888669 0.0033297513 0.003291299 0.0036238586 0.0046277726 0.0033006524 0.0034752463 0.003164511 0.004039558 0.0032008847 0.0034679715 0.0033484579 0.008665252 0.004595556 0.004014616 0.0035334441 0.0043648425 0.003436794 0.00301382 0.003391067 0.0045383973 0.0038317083 0.0029483472 0.0031915314 0.0037319404 0.0027893423 0.002838187 0.0029784855 0.0052388506 0.0032050416 0.0034939526 0.0030273302 0.0036664677 0.0031759427 0.0033006524 0.0032642786 0.0045425543 0.0028371478 0.0030418797 0.0026937316 0.003516816 0.0032258267 0.0029867995 0.0031510007 0.005015412 0.0034087342 0.0032777889 0.0027986956 0.003780785 0.003009663 0.0030533113 0.0031821781 0.0041372473 0.0029940743 0.003114627 0.0030158984 0.0036488005 0.0028277945 0.0029192483 0.0030449973 0.0046745385 0.0031135879 0.0038358653 0.0028485795 0.003562543 0.0031447653 0.0029878388 0.0031156663 0.0042578 0.0031426868 0.0033297513 0.0031728249 0.0036560753 0.003190492 0.0033214374 0.003341183 0.0067249755 0.0040551466 0.003725705 0.0033432615 0.004114384 0.0032559647 0.0033100056 0.0032268658 0.004333665 0.0033235159 0.0031125485 0.0030761748 0.0036477614 0.002984721 0.0030751356 0.0027945386 0.0042578 0.003281946 0.003093842 0.003001349 0.0037163517 0.0030075845 0.00293068 0.002943151 0.0039834385 0.0031094307 0.002720752 0.0026324159 0.003529287 0.0029379549 0.003579171 0.0028787176 0.004953057 0.003232062 0.00338691 0.00297225 0.0038119627 0.0030689 0.0031988062 0.0029036596 0.004445904 0.005451896 0.0034648536 0.003122941 0.0037849422 0.0030751356 0.003240376 0.0031915314 0.0046204976 0.0033120841 0.003420166 0.003038762 0.0037475291 0.0030928028 0.0033089665 0.0032434938 0.0043565286 0.003030448 0.0031821781 0.002860011 0.004018773 0.0030865674 0.004227662 0.0045311223 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045980685 0.00028890843 0.0002842234 0.00026600398 0.00031285398 0.0002420584 0.00034148456 0.0003066073 0.00032951176 0.00035293677 0.00032690898 0.00034929288 0.0005148296 0.00015304338 0.00018583839 0.0007423124 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09933088 0.062009636 0.062463563 0.05528822 0.060614027 0.05954012 0.05492071 0.05446991 0.060447447 0.05312375 0.05210138 0.052903034 0.05640898 0.050503273 0.056611475 0.0538265 4016.0 5.703934 22907.0 0.017199982 0.010477147 0.009385778 0.008643646 0.013402017 0.012485267 0.01178679 0.011437552 0.012572576 0.00969136 0.008512681 0.008599991 0.013925875 0.010520802 0.01178679 0.0099096345 0.016807089 0.011874099 0.008687301 0.007508622 0.009822325 0.008469027 0.00785786 0.008338063 0.010346183 0.008425372 0.009735015 0.008818265 0.0115685165 0.008992884 0.009647706 0.009254813 0.018029423 0.010957349 0.010346183 0.009036539 0.010826385 0.008905575 0.010651765 0.008338063 0.014275112 0.011612171 0.009735015 0.008992884 0.011437552 0.009342123 0.011655826 0.009560396 0.01479897 0.009604051 0.010040599 0.009036539 0.0120487185 0.009429432 0.009604051 0.009822325 0.013751255 0.009211158 0.010520802 0.009516741 0.011131968 0.00986598 0.010389837 0.01069542 0.017985769 0.011001004 0.009735015 0.008163444 0.013096433 0.008250753 0.009385778 0.008338063 0.015453791 0.009298468 0.008905575 0.008687301 0.011437552 0.00794517 0.009953289 0.00785786 0.013227398 0.00794517 0.00877461 0.008730955 0.011481207 0.009429432 0.008207099 0.00794517 0.010913694 0.00886192 0.011917754 0.008425372 0.011262933 0.008992884 0.009953289 0.00877461 6.554401 0.0 0.0 0.0 14.0 962234.0 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: 0.22132337 0.003655511 0.0029098922 0.002454603 0.0034179688 0.0028175148 0.002540382 0.0025337837 0.0044011297 0.0025139886 0.0032860008 0.0031804265 0.002804318 0.0035961254 0.0026459566 0.0034311656 0.0024414062 0.0023424304 0.003187025 0.0023622254 0.0027515308 0.0024150126 0.0026789485 0.0025931695 0.0027647277 0.002421611 0.0024743981 0.0022500528 0.0024348078 0.0023886191 0.0027251372 0.002170872 0.0077597126 0.003556535 0.0020389042 0.0023754223 0.0047838367 0.0022566512 0.002586571 0.0020521008 0.003318993 0.0025931695 0.0021774704 0.0028834988 0.002269848 0.0025337837 0.005311708 0.002421611 0.004229571 0.0027317356 0.0040448164 0.0026657516 0.0026987437 0.0042823586 0.0024150126 0.002586571 0.0026657516 0.0027053421 0.0020982898 0.0023424304 0.0029824746 0.0027581293 0.0024150126 0.0026789485 0.004757443 0.0032991976 0.0026657516 0.0024809965 0.004222973 0.0048234267 0.0029164907 0.0027845227 0.0033453864 0.0031012457 0.00283731 0.0026987437 0.0034179688 0.0040778085 0.0029956715 0.0026987437 0.0031474344 0.0034971496 0.0038072742 0.0045462945 0.0030088683 0.003965636 0.003239812 0.0026393582 0.0036093222 0.0036159207 0.002355627 0.0020982898 0.0024282094 0.0025997676 0.0023424304 0.002421611 0.0022962415 0.0050015836 0.0021180848 0.002540382 0.0035499367 0.006341058 0.0034311656 0.0051203547 0.0029626794 0.004922403 0.0051137563 0.0025997676 0.0038204708 0.00300227 0.0053710938 0.0038732581 0.0038864547 0.0027185387 0.0046452703 0.004361539 0.0048630172 0.006994299 0.004038218 0.0028637035 0.002923089 0.0028439083 0.0028505067 0.0027845227 0.0027911211 0.0042625633 0.0022434543 0.003992029 0.0037544868 0.003305796 0.0027581293 0.0034971496 0.0027449324 0.0036291175 0.002170872 0.0023622254 0.002520587 0.0059385556 0.002652555 0.00567462 0.0025073902 0.0027581293 0.0023424304 0.0031474344 0.0039260453 0.0023094383 0.0033585832 0.003503748 0.0028175148 0.0025073902 0.0023226351 0.0021246832 0.0027911211 0.002151077 0.002085093 0.0016891892 0.0020586993 0.0023688239 0.0023886191 0.0020323058 0.0023952175 0.0026855469 0.0024678 0.0026393582 0.0026129645 0.0036291175 0.002520587 0.0025271855 0.0024282094 0.0027581293 0.0024941934 0.002355627 0.0025931695 0.0021774704 0.0021642738 0.0027185387 0.004025021 0.0025799726 0.0026459566 0.0024612015 0.0034971496 0.0032464105 0.0040118243 0.0037148965 0.0031342378 0.0040778085 0.0036357157 0.0024743981 0.002540382 0.003721495 0.0024414062 0.0024678 0.0032860008 0.002586571 0.0024743981 0.0027779243 0.0027779243 0.0024084144 0.002170872 0.0037148965 0.004189981 0.0027647277 0.0025601774 0.002355627 0.0029956715 0.0023952175 0.0025007918 0.0033981735 0.0027845227 0.002335832 0.00230284 0.0023952175 0.0029956715 0.0036753062 0.0023952175 0.0021312817 0.0025007918 0.003655511 0.002619563 0.0037412902 0.0025733742 0.0020059121 0.002151077 0.0022236593 0.0024414062 0.0024743981 0.0022500528 0.0021312817 0.0027779243 0.0027119406 0.002203864 0.002454603 0.0032200168 0.0025931695 0.003919447 0.0039590374 0.0030616554 0.0026591532 0.0034971496 0.0037544868 0.0035829286 0.0023754223 0.0039722337 0.0027119406 0.0027581293 0.0023292336 0.0038336676 0.004058013 0.0037346918 0.002553579 0.0025733742 0.0024084144 0.003404772 0.002335832 0.0028439083 0.007819098 0.08840216 0.0 3.321641e-06 3.321641e-06 0.0 0.0 0.0 3.321641e-06 6.643282e-06 0.0 0.0 6.643282e-06 3.321641e-06 3.321641e-06 0.0 3.321641e-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 0.024148332 0.0002092634 0.00018269026 0.00013286565 0.0004583865 0.00023251488 0.00076397747 0.0003221992 0.000106292515 6.311118e-05 9.6327596e-05 0.00010961416 0.00011957908 6.975447e-05 0.00010297087 9.3005954e-05 0.011074352 7.30761e-05 0.0001129358 0.0013751595 7.30761e-05 8.636267e-05 0.000106292515 7.30761e-05 7.30761e-05 8.636267e-05 0.000106292515 9.3005954e-05 5.978954e-05 5.3146257e-05 7.30761e-05 8.636267e-05 0.005344521 4.982462e-05 0.00022919325 5.3146257e-05 0.00040191857 3.9859693e-05 3.3216413e-05 4.6502977e-05 0.00017272534 2.6573129e-05 2.3251489e-05 1.9929847e-05 5.978954e-05 1.9929847e-05 4.982462e-05 0.00023251488 0.0051352573 8.636267e-05 0.00012622237 0.00012622237 0.0002823395 0.00010961416 0.00035873725 0.00021590668 2.989477e-05 3.653805e-05 1.9929847e-05 6.311118e-05 5.64679e-05 5.64679e-05 3.9859693e-05 5.978954e-05 0.022314785 0.00015943877 0.0031854538 7.9719386e-05 0.0009300595 0.0006045387 0.008516688 0.004175303 0.0001129358 4.982462e-05 9.964923e-06 1.9929847e-05 0.00011625744 4.3181335e-05 0.0002258716 0.00027237457 0.024600074 0.0002923044 0.0020029496 0.00040191857 0.0024945524 0.001860119 0.0041420865 0.0017239318 0.00061782525 0.00025244473 6.6432825e-05 0.00019597683 0.0009367028 0.00013618729 6.975447e-05 0.0010230655 0.010360199 0.00010961416 0.0014914168 0.00014283057 0.0008569834 0.0005779656 0.0027735704 0.0018235809 0.000916773 0.00012622237 2.6573129e-05 0.00021258503 0.00027569622 0.00013618729 0.0003221992 0.00025576638 0.013781489 0.00026240965 0.0007108312 0.00063443347 0.0012721886 0.0011791826 0.0020195579 0.0013054049 0.0005912521 0.0006776148 0.00037202382 0.0013186915 0.00055803574 0.00061118195 0.00081380206 0.0011027849 0.0025709502 1.6608206e-05 0.0005414275 0.00073076104 0.0002424798 0.00019597683 0.0010297088 0.00068093644 9.6327596e-05 5.64679e-05 5.978954e-05 0.00015611714 0.00018269026 0.000106292515 7.6397744e-05 5.978954e-05 0.0030293367 0.00017604697 0.00014947385 0.00022919325 0.0006543633 0.00034545068 0.00025244473 0.00018601191 0.00015943877 0.00021922831 0.00022254996 0.0002424798 0.000259088 0.00015943877 0.00027237457 0.00024580144 0.004477572 0.00019929848 0.00096327596 0.0010031356 0.0012323288 0.0005846088 0.00068757974 0.00055471406 0.0008436969 0.00031887754 0.0002923044 0.0004617081 0.0006576849 0.0003321641 0.00037202382 0.00062446855 0.0063144397 0.0012456154 0.0031123778 0.001730575 0.004470929 0.0033814306 0.0015977094 0.0022553944 0.007975261 0.00094666774 0.00055803574 0.0017471833 0.0030592314 0.0017671131 0.0031987405 0.004258344 0.041739743 0.037737165 0.038368277 0.039939415 0.039985918 0.040414408 0.04003574 0.046034623 0.04040112 0.037836816 0.03956739 0.04634354 0.03928173 0.039271764 0.04078311 0.045320474 622.0 6.734727 4189.0 0.010026259 0.004058248 0.0050131297 0.005729291 0.012174743 0.0064454526 0.006922893 0.0064454526 0.010981141 0.012174743 0.0047744093 0.0071616136 0.00525185 0.006684173 0.017426593 0.0064454526 0.025304368 0.006922893 0.011936023 0.009310097 0.0076390547 0.0131296255 0.0059680115 0.006206732 0.01026498 0.008832657 0.010981141 0.0059680115 0.008116496 0.008832657 0.00525185 0.006684173 0.0059680115 0.0105037 0.008593936 0.011219862 0.014084507 0.009787539 0.011697303 0.010026259 0.009071377 0.011936023 0.0064454526 0.0078777755 0.006206732 0.009787539 0.008832657 0.011936023 0.008832657 0.011697303 0.011936023 0.011219862 0.009787539 0.012413464 0.0076390547 0.013368346 0.0054905703 0.008355216 0.0054905703 0.008593936 0.0071616136 0.008832657 0.0071616136 0.008116496 0.006206732 0.016232992 0.006922893 0.011697303 0.011458582 0.027691573 0.012652184 0.012652184 0.010026259 0.019336358 0.017665314 0.010981141 0.019097637 0.020052519 0.019813798 0.02052996 0.012890905 0.011458582 0.014800669 0.01551683 0.025065647 0.018858917 0.006922893 0.006684173 0.008116496 0.009548819 0.008832657 0.006922893 0.0071616136 0.0076390547 0.0074003343 0.010026259 6.4545474 0.0 0.0 0.0 4.0 151552.0 159744.0 1.0 0.0 40.0 1.0 1.0 0.0 0.0 0.0 802771300.0 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 -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 12.0 0.0 5.0 0.0 5.0 0.0 0.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0928788 0.0 0.0 0.0 0.0 0.0 5.015614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8942595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.683047 0.0 3.8580692 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97895.0 0.0 0.0 0.0 0.0 0.0 2350.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9730.0 0.0 16704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 17416.0 16704.0 135168.0 0.0 0.0 0.0 0.0 420.0 155648.0 56.0 16592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196.0 16384.0 64.0 83328.0 0.0 0.0