Input: 0.21098226 0.029178625 0.03425332 0.0029729835 0.0047830897 0.005149378 0.002681375 0.0014687107 0.0072724298 0.0010099609 0.0033783903 0.0019274607 0.0049608997 0.0038549213 0.0009886237 0.0040042815 0.0056472463 0.014921817 0.0012624512 0.0017638754 0.0023862105 0.003389059 0.0007823641 0.00050142425 0.0017958812 0.001543391 0.0008072575 0.00041963166 0.004630173 0.0009459493 0.0010099609 0.00068634667 0.0076422747 0.001134428 0.002748943 0.0009708427 0.00482932 0.0013086818 0.001418924 0.00050142425 0.0019701351 0.0005974417 0.0062553566 0.0013477999 0.0019487978 0.0007112401 0.0018598929 0.00033428284 0.018510023 0.004825764 0.0023862105 0.0032717043 0.0010384105 0.0043527894 0.0012126643 0.009235453 0.007098176 0.0031827993 0.0016749704 0.0075355885 0.0016180712 0.0013264627 0.003353497 0.0013513562 0.0029978768 0.0026173636 0.007596044 0.0013869181 0.002023478 0.0073720035 0.0037802411 0.0021052707 0.002855629 0.011134463 0.00068990287 0.0009423931 0.0012446701 0.002855629 0.0036913361 0.0013798057 0.008108137 0.0047333026 0.002201288 0.00340684 0.0011842147 0.004025619 0.0063869357 0.003726898 0.001472267 0.0023542047 0.011269599 0.003069001 0.0018136622 0.0039260453 0.0026387007 0.0027524992 0.0008214823 0.0033499408 0.0011024221 0.0028236231 0.010597478 0.011159357 0.002588914 0.001916792 0.004662179 0.0029303092 0.00930302 0.0014046992 0.0035277507 0.0013620248 0.002716937 0.0074573522 0.0029907646 0.0010881973 0.0030121019 0.0026209196 0.008492206 0.007980114 0.0047297464 0.003140125 0.002183507 0.0012268891 0.0015860654 0.0011664337 0.0018492242 0.0035882061 0.0017496506 0.0005263177 0.0027418304 0.001507829 0.0022332938 0.005992198 0.0017247573 0.0056614713 0.00414653 0.0007432459 0.0030832258 0.0063549303 0.00061877887 0.022439625 0.0006507847 0.0043207835 0.0006578971 0.004736859 0.0011771023 0.0006116665 0.0006721219 0.0006507847 0.0008499319 0.0011557651 0.00048364326 0.00039829445 0.0014260364 0.00064011605 0.00054765487 0.00043385645 0.00075747067 0.00045519366 0.0006472285 0.0008179261 0.0017176447 0.003815803 0.0016963076 0.0035384195 0.00075747067 0.0017532068 0.0008499319 0.0014402611 0.0014864918 0.002926753 0.0009815113 0.0009743989 0.0016714142 0.0008214823 0.00047653087 0.0017140886 0.0023364236 0.00040185064 0.0010597478 0.00041963166 0.0025177898 0.0007325773 0.0017603192 0.00070412765 0.0015220537 0.0008748253 0.0009743989 0.0008357071 0.0013584686 0.00040540684 0.0009103873 0.0012482264 0.004882663 0.0013371314 0.0032681483 0.0016287398 0.00414653 0.00076102687 0.0018705614 0.002076821 0.0014651546 0.0016714142 0.00050853664 0.00042674405 0.012873446 0.0008108137 0.0012482264 0.001383362 0.0015042728 0.0010419667 0.00050142425 0.0012873445 0.0014473735 0.0010597478 0.0012375577 0.0010384105 0.004683516 0.01199862 0.00046941845 0.0017425382 0.001383362 0.0023897667 0.0011557651 0.0011024221 0.0022652997 0.00036984484 0.0009246121 0.00030227704 0.0019630226 0.00068990287 0.00096373033 0.00024182163 0.009850675 0.0019416854 0.001365581 0.0031081191 0.0036237682 0.00027027124 0.0032503672 0.00034850763 0.0014936042 0.0012446701 0.00040185064 0.00055832346 0.0013229066 0.00043385645 0.0018065498 0.0010206295 0.0027347181 0.0029552025 0.0040896307 0.00082503847 0.0026493694 0.00051920523 0.0041998727 0.04152931 0.021906478 3.577152e-05 1.788576e-06 1.788576e-06 3.577152e-06 3.577152e-06 1.9674337e-05 5.365728e-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 0.006601634 0.00022893773 0.00020747482 1.0731456e-05 1.788576e-05 1.4308608e-05 1.9674337e-05 1.4308608e-05 0.00010373741 1.0731456e-05 2.1462913e-05 8.94288e-06 1.6097185e-05 1.4308608e-05 1.6097185e-05 1.9674337e-05 0.003226591 0.00013235463 1.0731456e-05 0.0 8.94288e-06 1.9674337e-05 1.788576e-06 1.0731456e-05 3.0405792e-05 1.2520032e-05 1.788576e-05 1.788576e-05 1.0731456e-05 1.6097185e-05 3.577152e-06 0.00014308609 0.012491415 0.000105525985 9.3005954e-05 0.0039724275 1.788576e-05 1.788576e-05 0.0012931405 8.94288e-06 3.0405792e-05 3.7560098e-05 1.6097185e-05 7.154304e-06 1.9674337e-05 1.4308608e-05 6.0811584e-05 0.00012877748 0.036454756 0.00032730942 0.00067429314 0.020752847 8.94288e-05 5.365728e-05 0.007365356 0.0002164177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010452438 0.0004399897 0.00014308609 0.0003666581 0.00027186357 0.00026470926 0.00067608175 0.00048649267 0.00024324634 0.00014845181 0.000114468865 9.6583106e-05 9.837168e-05 0.00011089171 8.048592e-05 0.000658196 0.021046175 0.0014165522 0.0011786716 0.001906622 0.0006850246 0.00052405277 0.002561241 0.0010159112 0.00025040066 0.00019495479 0.00014487466 0.00013593178 0.00025576638 0.00020389767 0.00019316621 0.0012537917 0.027812356 0.002257183 0.0025844923 0.0018529647 0.00165801 0.0013020834 0.0055499515 0.0025666065 0.000624213 0.00020032052 0.00021284055 0.00018601191 0.00020210909 0.000270075 0.00014129751 0.0038615356 0.015616057 0.0028581445 0.002353766 0.0028295272 0.0031371624 0.0020210908 0.008172004 0.0051010186 0.0018780048 0.00015381754 0.00010910314 8.764023e-05 0.00018243476 0.00011089171 0.00010731456 0.0029010703 0.009053771 0.002328726 0.002269703 0.0023501888 0.0028044872 0.0016973587 0.003648695 0.0017009358 0.000270075 0.00016276042 0.0001788576 0.00010910314 0.00012162317 0.00024324634 0.00017528045 0.0021892171 0.010100089 0.0015667926 0.0014737867 0.0018422332 0.0024396176 0.0033035 0.0059076664 0.002446772 0.0013342777 0.00049006986 0.0005884415 0.00020210909 0.00028974933 0.00013056606 8.94288e-05 0.0007619334 0.0095903445 0.0015256554 0.0012591576 0.001257369 0.0017617474 0.0018171932 0.0032713055 0.0022035257 0.0018315018 0.00047933837 0.0009085966 0.0005419385 0.00081559067 0.00052405277 0.0003058465 0.0012108659 0.06552627 0.0134804975 0.008799794 0.011691921 0.01200671 0.019123456 0.01204606 0.011264452 0.025149167 0.002754407 0.0076157567 0.005122482 0.013569926 0.010972913 0.011189331 0.022434108 0.06704477 0.01587719 0.014315763 0.02314775 0.02957947 0.032775655 0.016481727 0.020540006 0.036052328 0.0068752863 0.01663018 0.011454041 0.024884459 0.021461124 0.01921825 0.03194039 0.00032552084 3.9348673e-05 0.00012162317 0.00024503493 0.00027365214 0.00036308094 0.00021999485 0.0002611321 0.00020747482 0.00021105197 0.00021462912 0.00017528045 0.00012162317 0.00012520033 8.22745e-05 0.00067608175 2624.0 15.662728 41099.0 0.019684177 0.0034307404 0.00978126 0.00026764642 0.00038930387 0.0016058785 0.004987956 0.0006082873 0.0036253924 0.00087593374 0.03403976 0.0011435802 0.006374851 0.0006569503 0.0055719116 0.00053529284 0.08428429 0.028467845 0.010608531 0.0027494587 0.0012409061 0.01695905 0.0020681769 0.042799097 0.034964353 0.0029684422 0.0010705857 0.03180126 0.00085160224 0.0009245967 0.010705857 0.0026764642 0.0019465194 0.0059855473 0.045037594 0.001776199 0.0055719116 0.0017518675 0.0020681769 0.0041850167 0.0051582763 0.07043967 0.00053529284 0.0009732597 0.0014355581 0.0019465194 0.007883403 0.0013139006 0.0026521327 0.0010949172 0.0053772596 0.0048662983 0.0017518675 0.0027007957 0.0037713812 0.0026034696 0.0005839558 0.003649724 0.07141293 0.010997835 0.0023358231 0.0043310057 0.00041363537 0.007275116 0.00021898343 0.012628045 0.0026034696 0.011070829 0.04744641 0.059612155 0.0022628289 0.00717779 0.00326042 0.011095161 0.021071073 0.004404 0.012409061 0.0039660335 0.0091486415 0.040511936 0.008199713 0.0011435802 0.009586608 0.009343293 0.017567337 0.007907735 0.019951824 0.009975912 0.0020195139 0.0023844861 0.0036253924 2.4331492e-05 0.001532884 0.0048662983 0.0003649724 7.299447e-05 5.3985114 0.0 0.0 0.0 2.0 281199.0 307200.0 1.0 0.0 207.0 0.0 1.0 0.0 0.0 0.0 1091599700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 136192.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 0.0 137216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3407674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6704607 0.0 5.611288 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21156.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135980.0 0.0 136984.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 135740.0 136984.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 13248.0 184.0 584.0 860.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.14146857 0.0085716825 0.0041574268 0.0034005207 0.00619848 0.003921588 0.0020151234 0.0019472117 0.0078295935 0.0015002297 0.0016903823 0.0014952907 0.0045426707 0.0013631716 0.0012224093 0.0038635544 0.0061219246 0.0014952907 0.0011791929 0.00089025975 0.0024546967 0.0019694373 0.0007630798 0.00082111335 0.0022929437 0.0007507322 0.0008260524 0.0007075157 0.0016076536 0.00060132664 0.00059144857 0.00056304917 0.0038660238 0.00058404 0.0006494821 0.00054082356 0.004138905 0.0013125467 0.00046303385 0.0005593449 0.0011791929 0.0006507169 0.0005815705 0.00093965 0.0011014031 0.0023336906 0.0006741773 0.0005161284 0.005667534 0.0033326088 0.0032288893 0.010692995 0.0033511303 0.0025633555 0.0027695599 0.002200337 0.0038240422 0.0025559468 0.0007124547 0.001478004 0.0016619829 0.00097298843 0.0004642686 0.0005272412 0.011741304 0.0039178836 0.0048884028 0.0088038165 0.0038586154 0.032474108 0.0032597582 0.002701648 0.0033745908 0.0035388134 0.0021830502 0.0023485078 0.002702883 0.0043759784 0.0011569672 0.0015273943 0.009035951 0.002138599 0.0020509313 0.0097311195 0.0031967857 0.013802113 0.0032140722 0.0020904434 0.0019212818 0.006497291 0.0027349866 0.003251115 0.0015619675 0.0046253996 0.002371968 0.0035956122 0.005750263 0.004464881 0.0020534007 0.0033029749 0.009649625 0.0061787236 0.004266085 0.0016064188 0.008208664 0.0042883107 0.004001847 0.0014421961 0.0038771369 0.0018076842 0.0046772594 0.004078402 0.0034363286 0.0017521201 0.005197092 0.003880841 0.0105892755 0.0056428392 0.0020608094 0.0011569672 0.003230124 0.0012606868 0.0005297107 0.00058897905 0.0016496353 0.0025127304 0.0010606562 0.0008729731 0.0052329 0.0011557324 0.001086586 0.009044594 0.0031152917 0.0032202462 0.0010322568 0.00061737845 0.002657197 0.015157876 0.0022287362 0.05162272 0.0011940099 0.010978224 0.00085568655 0.0006791163 0.0026510232 0.00044327774 0.0007260371 0.0006445431 0.0011211593 0.000934711 0.001508873 0.00056675344 0.0011717844 0.0005877443 0.0004988418 0.00071121997 0.0009544671 0.0004753814 0.0004642686 0.0004185826 0.0008951988 0.0033227308 0.00046550337 0.0025460687 0.0014212052 0.0008161743 0.00056304917 0.00045192105 0.0010446043 0.00045686006 0.0005087199 0.00048649422 0.0008458085 0.00044945153 0.0007408541 0.0006568907 0.0013224246 0.0006840553 0.0017274249 0.0005358845 0.0008766774 0.0006692383 0.00071121997 0.0015767846 0.003144926 0.002530017 0.004642686 0.0008223481 0.0009989183 0.0004790857 0.0008519823 0.0007136895 0.011975908 0.0011470892 0.0022830656 0.010331212 0.0043500485 0.0010569519 0.003551161 0.003362243 0.0018669525 0.0017619982 0.0009816318 0.0013001991 0.0016792694 0.0008914945 0.0009902751 0.00094088475 0.002869575 0.001148324 0.0029695905 0.001350824 0.0018101536 0.00076678407 0.0016014797 0.0008742079 0.003362243 0.0006531864 0.0010841166 0.0017842237 0.0014940558 0.00071739376 0.0005618144 0.00084086944 0.0024349405 0.0006568907 0.0008766774 0.0009890402 0.0024287668 0.002427532 0.0005494668 0.00069269864 0.027562244 0.0060157357 0.0010915251 0.0058897906 0.006521986 0.0010409001 0.0006791163 0.0007532017 0.007230737 0.00097545795 0.0018138579 0.0009174244 0.009122384 0.0021669983 0.0040895147 0.0025892854 0.010050922 0.0030486148 0.003068371 0.003606725 0.014864004 0.0039894995 0.0042944844 0.06881918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0035306015 0.0 0.0 0.0009456195 0.0005934876 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011500292 0.0 0.0 0.005924974 0.004120995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013930559 0.0 0.0 0.0014419459 0.0009672796 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055016734 3.7131654e-06 1.7946966e-05 6.6836976e-05 0.00014852661 7.550103e-05 6.188609e-06 7.4263307e-06 1.5471522e-05 0.0 0.0 1.8565827e-06 8.045192e-06 3.0943045e-06 4.950887e-06 0.0003577016 0.0060840216 0.00020546182 0.00021288815 0.0005495485 0.0019067104 0.00048704352 0.002442025 0.0010625841 0.00019432232 0.00010025546 9.221028e-05 7.488217e-05 0.00067022635 0.00037936174 0.00039978413 0.002882654 0.013294988 0.0006399022 0.0009437629 0.002076897 0.004120376 0.0036011515 0.0069516646 0.003202605 0.00045300619 0.00023516714 0.0003100493 0.00032985286 0.0020781348 0.0011021913 0.0011195194 0.008970389 0.020727508 0.0013002268 0.0012309144 0.002073803 0.007301321 0.0025558956 0.0066775093 0.0032496385 0.0023869465 0.0009728493 0.0009747059 0.0013330263 0.004049826 0.0026443927 0.0026685281 0.009561401 0.02018353 0.0015589106 0.0012488613 0.0022631744 0.009409161 0.004036211 0.0058742277 0.0034012594 0.0058005834 0.0014110028 0.0017755119 0.0023009249 0.0038555034 0.0017693234 0.0040374487 0.009654849 0.07390994 0.009803375 0.007270378 0.01006701 0.042003326 0.030560588 0.021274582 0.013933035 0.051402587 0.0052838344 0.00604689 0.009130055 0.016764322 0.0070636785 0.02740316 0.060985647 0.06017494 0.0101159 0.009105919 0.011655626 0.028081432 0.030564303 0.01764682 0.014590264 0.049752083 0.005877322 0.006473904 0.0091381 0.021070357 0.010922895 0.025049014 0.048462998 0.00023331057 4.765229e-05 8.602167e-05 5.1984316e-05 9.035369e-05 9.901774e-05 4.3320262e-05 6.5599255e-05 0.00013429282 2.9086463e-05 3.3418488e-05 2.9086463e-05 8.416508e-05 6.0029506e-05 7.3025585e-05 0.00010706294 5347.0 16.795212 89804.0 0.005211349 0.00012248897 0.0005344974 8.908289e-05 0.0032069841 0.00054563273 0.00012248897 0.00016703042 0.0003786023 0.00038973766 0.00070152775 0.0005567681 0.00047882056 0.013640818 0.0010801301 0.00044541445 0.023896486 0.021791901 0.024564607 0.01707051 0.02035544 0.019208498 0.021257404 0.015812213 0.02321723 0.018651731 0.0007906107 0.0004899559 0.0009130996 0.0005122266 0.00011135361 0.00013362434 0.0013028373 0.00816222 0.00708209 0.013885796 0.0068259765 0.015433611 0.004520957 0.0029397355 0.004710258 0.016836667 0.0023495613 0.003819429 0.006525322 0.006380562 0.004242573 0.008819207 0.012349116 0.0025054563 0.0057235756 0.019587101 0.012505011 0.0059908247 0.005645628 0.0033406084 0.0026613513 0.0051222662 0.0014587323 0.0028617878 0.0011135362 0.0026724867 0.0027838403 0.021235134 0.00024497794 0.029764822 0.014999332 0.025934257 0.02835063 0.05082179 0.013729901 0.010099773 0.021034697 0.03348403 0.009754577 0.006903924 0.026101287 0.011792348 0.038205426 0.03281591 0.02016614 0.0029620063 0.03944145 0.027348448 0.042926818 0.011268985 0.012471605 0.0058683353 0.01663623 0.0063916976 0.0010021825 0.00027838405 0.00052336196 0.00024497794 0.0002895194 0.00030065476 5.7734966 0.0 2.0 14.0 4.0 809876.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5889564 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24388057 0.0070242067 0.005187565 0.0049329274 0.005336555 0.0044453233 0.008952952 0.0043559293 0.00893128 0.0034078103 0.0028443567 0.0020831528 0.00510088 0.0019802141 0.001433014 0.007268009 0.004941054 0.001370709 0.0014140516 0.0013490377 0.0023052834 0.0019287448 0.0018095527 0.001191921 0.0024217668 0.0013842536 0.0011377428 0.0012460991 0.0017526656 0.0011241982 0.0011621229 0.0015115725 0.0047433036 0.001313822 0.0016659804 0.0014194695 0.0038547807 0.0011350338 0.0010320952 0.0010700199 0.0018176794 0.000915612 0.0009264476 0.0022971567 0.0013680002 0.0021183686 0.0012542258 0.0009129031 0.0022240162 0.0011702497 0.0012488081 0.004244864 0.0014059249 0.004060658 0.0011160715 0.0009860437 0.0016416002 0.0019775052 0.0011756675 0.0029202064 0.0015224081 0.0013192397 0.0011404516 0.001370709 0.0038764519 0.0037003728 0.00470267 0.006160064 0.004147343 0.008923153 0.0022104715 0.0018068438 0.0052607055 0.0017960082 0.001373418 0.0011702497 0.002467818 0.0035486738 0.0015196992 0.0013327843 0.004515755 0.0017472478 0.0012325546 0.002440729 0.0016659804 0.0027089112 0.003023145 0.0027116202 0.0017174497 0.0033834302 0.001159414 0.0014980279 0.004426361 0.0029391686 0.001953125 0.0020912795 0.0016443091 0.003023145 0.0016009666 0.0021183686 0.0021752557 0.0041933944 0.003694955 0.0012596437 0.0026140993 0.0025517943 0.0038574897 0.0012379724 0.0023567528 0.0014573942 0.0028253945 0.0029202064 0.0021183686 0.0009670813 0.003665157 0.0030664876 0.007947946 0.006921268 0.0017743369 0.0013625823 0.0014492675 0.0015359527 0.0011025269 0.0009887526 0.0015034458 0.0022023448 0.0017553745 0.0018122616 0.0035324201 0.0022700676 0.0017309943 0.0078856405 0.0020398102 0.0063903215 0.0009806259 0.0010429309 0.002194218 0.0069375215 0.001403216 0.01910866 0.0011160715 0.0057483097 0.00085601595 0.0010456397 0.0012786061 0.000793711 0.00088581396 0.0008912318 0.0010185506 0.004052531 0.0008722694 0.000823509 0.0012704794 0.0009941704 0.00082621793 0.0008316357 0.0014275962 0.0013463289 0.00077745755 0.0016686893 0.0014465586 0.0013327843 0.00097249914 0.0014465586 0.0012786061 0.0011052358 0.0010239684 0.0009345744 0.0014167606 0.0010916912 0.00092915655 0.0011783764 0.0010916912 0.00097520807 0.0009914616 0.0009643724 0.0015034458 0.0009670813 0.001037513 0.0011079446 0.0013896715 0.0011783764 0.0023648795 0.002075026 0.0020398102 0.0015332438 0.001495319 0.0013192397 0.0012298457 0.0011512872 0.0012542258 0.0012569348 0.0059189713 0.0033698855 0.002047937 0.0036163966 0.0026655686 0.0012244278 0.002530123 0.0032263133 0.0033834302 0.0037653865 0.0022727766 0.0022673586 0.0071271453 0.0022185983 0.0026438974 0.0026736953 0.0037355886 0.0032154776 0.0037978936 0.0037653865 0.0041690143 0.0038601984 0.0043152957 0.0044697034 0.005168603 0.0046539097 0.0044046897 0.004892294 0.0044101076 0.0040146066 0.003751842 0.003629941 0.0049220915 0.003451153 0.003294036 0.0030989945 0.003475533 0.0033048717 0.0024976162 0.0023567528 0.012523296 0.0031504638 0.002232143 0.004450741 0.004020024 0.0022619409 0.0027712162 0.0025870102 0.0044697034 0.0026601509 0.0024759448 0.0026926578 0.0037410064 0.0034348995 0.0055180523 0.004997941 0.005425949 0.0027576715 0.0023432083 0.0016551447 0.0036218143 0.0033725945 0.0032263133 0.06937793 0.0027855153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052704453 0.0 6.8005747e-06 8.1606895e-06 1.3601149e-06 5.4404595e-06 1.3601149e-06 2.7202298e-06 1.3601149e-06 5.1684365e-05 2.3121953e-05 9.520804e-06 9.520804e-06 8.1606895e-06 9.520804e-06 0.00016185368 0.005054187 5.4404595e-06 4.0803448e-06 1.2241034e-05 1.3601149e-06 5.4404595e-06 1.3601149e-06 8.1606895e-06 6.8005747e-06 3.2642758e-05 4.7604022e-05 1.0880919e-05 2.4482068e-05 4.0803448e-06 1.4961264e-05 0.0003373085 0.009732982 2.4482068e-05 4.3523676e-05 4.7604022e-05 5.7124827e-05 2.3121953e-05 5.4404598e-05 4.4883793e-05 1.9041609e-05 7.208609e-05 0.00015233287 2.4482068e-05 3.8083217e-05 2.1761838e-05 0.00026114206 0.00052500435 0.017797103 0.0001917762 5.032425e-05 8.5687236e-05 0.00015641321 1.2241034e-05 3.400287e-05 7.480632e-05 8.296701e-05 9.928839e-05 0.0004488379 0.00024210045 0.000119690114 0.00016185368 0.00045699862 0.0022700317 0.012207031 0.00010744908 5.032425e-05 8.432713e-05 4.6243906e-05 5.1684365e-05 3.128264e-05 6.664563e-05 8.160689e-05 6.936586e-05 0.00029922527 0.00060117076 0.00014825253 9.792827e-05 0.00023666 0.002533894 0.016729413 6.800574e-05 0.00033050793 5.7124827e-05 0.00021761839 9.928839e-05 0.002498531 0.0011384161 2.7202299e-05 8.296701e-05 0.00025162127 0.0008827146 0.0007671048 0.0021816243 0.00090855674 0.0043999716 0.0537531 0.0010445683 0.0018402354 0.0009847232 0.0023271565 0.0007303817 0.0032520348 0.002048333 0.0004923616 0.00049644196 0.00083511055 0.0018334349 0.00651087 0.026663693 0.010920363 0.025542958 0.03306303 0.0005454061 0.0010132856 0.00060389104 0.0017436673 0.00058212917 0.0026930275 0.0014444421 0.00033866861 0.00037131135 0.00078342616 0.0014607634 0.003184029 0.011540575 0.010017246 0.022537105 0.018781826 0.00043523678 0.0004842009 0.0004637992 0.0019776071 0.0007208609 0.0027528726 0.0015070073 0.00035771023 0.00026930275 0.00038627264 0.000627013 0.0019925684 0.0063408557 0.0047005573 0.008341584 0.0071909274 0.00043115643 0.0008949556 0.00037811193 0.0017042239 0.0004474778 0.0035594206 0.0019585656 0.00014417218 7.888667e-05 0.000115609764 0.00014145195 0.00021217793 0.0008215094 0.00030738596 0.001112574 0.022533024 0.0014403617 0.0017844707 0.0013451537 0.0022523503 0.0014852454 0.0029337679 0.0022768322 0.0017055841 0.0011465768 0.0011316156 0.001018726 0.0012567461 0.0011098537 0.0012825883 0.002650864 0.021983538 0.0018973603 0.0020782556 0.0017368668 0.0024998912 0.0018891996 0.0019436042 0.0018089528 0.0029174464 0.0015614119 0.0013927576 0.0015464507 0.0020646544 0.0013410733 0.0017001437 0.0045631854 0.031651232 0.0050936304 0.0035907032 0.0050936304 0.010433441 0.009209338 0.0043006833 0.008066841 0.019113695 0.0019164019 0.001585894 0.0026835068 0.008827146 0.0023121953 0.00840143 0.016995996 0.031890616 0.006417022 0.004865131 0.006219805 0.01349778 0.011690187 0.0059369016 0.009896196 0.022201156 0.0025529356 0.0021993057 0.003016735 0.011748672 0.0044230935 0.009099169 0.015905183 0.025182527 0.010425281 0.010867318 0.012504896 0.017276179 0.012397448 0.00959017 0.009962842 0.017006876 0.011026451 0.0085741645 0.008852988 0.014162877 0.009280064 0.012175749 0.014056788 976.0 11.202868 10934.0 0.037955 0.0012804097 0.004115603 0.002835193 0.0075910008 0.0015547832 0.0010060362 0.0050301813 0.0038412292 0.0023779038 0.0018291568 0.0030181087 0.0032010244 0.0024693615 0.006584964 0.0023779038 0.004389976 0.0031095664 0.0034753978 0.0034753978 0.003292482 0.008505579 0.0018291568 0.002194988 0.0026522772 0.0042070607 0.003292482 0.0042985184 0.0034753978 0.0018291568 0.002926651 0.0057618436 0.015456375 0.009603073 0.0031095664 0.008688495 0.0072251693 0.011798061 0.0059447596 0.0090543255 0.009877446 0.0072251693 0.0025608195 0.002286446 0.0064020487 0.0057618436 0.004572892 0.0038412292 0.017925736 0.0042985184 0.003932687 0.014541796 0.006219133 0.0040241447 0.010334736 0.013261386 0.0038412292 0.00338394 0.0024693615 0.0026522772 0.007133711 0.0025608195 0.0024693615 0.014450339 0.0072251693 0.040790197 0.011980977 0.029083593 0.026339857 0.0746296 0.011157856 0.0090543255 0.009511615 0.03301628 0.0104261935 0.005578928 0.030089628 0.012895555 0.036583137 0.050210353 0.015090543 0.0023779038 0.049661607 0.036125846 0.058533017 0.020029267 0.008779952 0.0048472653 0.006676422 0.010334736 0.0035668556 0.0012804097 0.0020120724 0.0021035303 0.002926651 0.004389976 5.785096 1.0 0.0 0.0 5.0 369152.0 425984.0 1.0 0.0 108.0 0.0 1.0 0.0 0.0 0.0 1415181300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 156160.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156160.0 0.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8069696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.978425 0.0 5.7837687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156010.0 0.0 134744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 214996.0 134744.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164416.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 209176.0 0.0 0.0 452.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.017229144 0.0044354205 0.003942596 0.0043434263 0.0042317193 0.0043697106 0.003975451 0.003732324 0.0043368554 0.003896599 0.0038177469 0.0043828525 0.0038243178 0.003758608 0.0035417653 0.0044025653 0.003660043 0.003922883 0.003830889 0.003719182 0.0036994691 0.0035286231 0.0038900278 0.0040148767 0.0040148767 0.00383746 0.003765179 0.003896599 0.00383746 0.00383746 0.00383746 0.0040280186 0.0039031699 0.003692898 0.0039031699 0.0036731851 0.0053093624 0.003936025 0.0042645745 0.003758608 0.0040214476 0.00383746 0.0039491667 0.0043959944 0.003896599 0.003936025 0.0038243178 0.003745466 0.0036666142 0.003627188 0.003995164 0.0038900278 0.003686327 0.0038900278 0.003811176 0.0035154813 0.003863744 0.003719182 0.003804605 0.0041594384 0.0036731851 0.0038900278 0.003719182 0.003752037 0.0038177469 0.003896599 0.003870315 0.003738895 0.0043828525 0.0041594384 0.0038177469 0.0038243178 0.003936025 0.003738895 0.0038177469 0.0035746202 0.0043302844 0.003660043 0.0036009043 0.003725753 0.0038506018 0.003844031 0.0037914629 0.003870315 0.003988593 0.003686327 0.003686327 0.003765179 0.0040740157 0.0037914629 0.003798034 0.0036994691 0.003732324 0.0034957682 0.003988593 0.0035746202 0.0039688796 0.0041528675 0.003778321 0.0038506018 0.0039491667 0.0038506018 0.003995164 0.0035680493 0.003745466 0.0040608738 0.0035483362 0.003830889 0.0041265837 0.003798034 0.0041265837 0.0039031699 0.003660043 0.0038834568 0.0038834568 0.003719182 0.0038834568 0.003982022 0.0036074752 0.00370604 0.004054303 0.003686327 0.0035089103 0.003798034 0.003922883 0.0034694844 0.003719182 0.0036666142 0.0036009043 0.0039491667 0.0035811912 0.003725753 0.003798034 0.003798034 0.003660043 0.003909741 0.003909741 0.0041462965 0.003620617 0.004658834 0.003804605 0.0041791517 0.0036731851 0.0039557377 0.0040805866 0.0040805866 0.0038177469 0.00377175 0.003870315 0.003686327 0.0038900278 0.0038177469 0.0036009043 0.0041002994 0.0036994691 0.003804605 0.003778321 0.0040674447 0.0039557377 0.0038768859 0.0038834568 0.0038177469 0.003594333 0.003646901 0.003863744 0.003594333 0.0036994691 0.003863744 0.0035680493 0.0041462965 0.0038900278 0.003594333 0.0040345895 0.003752037 0.003752037 0.003784892 0.00377175 0.003844031 0.0038177469 0.00370604 0.0036666142 0.003594333 0.0038900278 0.0040345895 0.0040280186 0.0038900278 0.00383746 0.00383746 0.0039623086 0.003804605 0.003830889 0.004041161 0.0041594384 0.004606266 0.003653472 0.003660043 0.0040083057 0.003936025 0.0039491667 0.0040280186 0.003844031 0.003863744 0.003916312 0.003712611 0.0036074752 0.003620617 0.0039688796 0.0036337592 0.003870315 0.003732324 0.0040674447 0.003975451 0.003922883 0.0040937285 0.0038900278 0.003870315 0.003725753 0.003745466 0.0038834568 0.0033643483 0.003646901 0.003863744 0.003811176 0.003738895 0.003784892 0.0036666142 0.0035286231 0.003798034 0.0034826263 0.0036666142 0.003929454 0.003646901 0.003712611 0.0035549072 0.003765179 0.0038243178 0.003758608 0.003745466 0.0038900278 0.003936025 0.003995164 0.003909741 0.0036994691 0.003719182 0.0039491667 0.003679756 0.0038571728 0.004054303 0.003804605 0.0039557377 0.0038571728 0.003712611 0.0041265837 0.0036009043 0.0038506018 0.0040674447 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046569407 0.00011625744 0.00030891263 0.00016276042 0.00031555592 0.00010961416 0.00021922831 0.00015943877 0.0002889828 2.3251489e-05 2.6573129e-05 4.982462e-05 0.00011957908 2.6573129e-05 7.6397744e-05 0.00014283057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027137809 0.00016608206 0.00068093644 0.00015943877 0.0004583865 0.00015943877 0.00025244473 0.00023915817 0.0007174745 5.978954e-05 6.311118e-05 0.00012622237 0.00039195365 6.6432825e-05 0.0002092634 0.0003388074 0.0018435109 0.00014283057 0.0007872289 0.00020262011 0.00055471406 0.00017936862 0.00036538052 0.00029562606 0.000906808 6.975447e-05 6.311118e-05 0.00016276042 0.00049160287 8.304103e-05 0.000259088 0.0003952753 0.0035375478 0.0005248193 0.0009200946 0.0005879305 0.0008935215 0.00060121703 0.0007672991 0.0006576849 0.00095663266 0.00049824617 0.00048163798 0.0006443984 0.0007108312 0.0005082111 0.0006543633 0.0006610066 0.061742667 0.060583413 0.061586548 0.059679925 0.05974636 0.059842687 0.060895648 0.059072066 0.059410874 0.06156994 0.060148276 0.06086243 0.060769424 0.060795996 0.058743224 0.06053691 729.0 5.6666665 4131.0 0.009440813 0.0072621643 0.008472525 0.0099249575 0.01694505 0.0075042364 0.012345679 0.009198741 0.010409102 0.014282256 0.0113773905 0.012345679 0.01016703 0.009198741 0.010651174 0.009440813 0.009682885 0.0077463086 0.012587751 0.013313968 0.008956669 0.010893246 0.0113773905 0.008714597 0.009682885 0.008230452 0.01016703 0.0099249575 0.008956669 0.012103607 0.008714597 0.0113773905 0.010893246 0.010893246 0.009198741 0.008230452 0.0113773905 0.012587751 0.011861535 0.01016703 0.011135318 0.0099249575 0.01016703 0.0099249575 0.012345679 0.01355604 0.009682885 0.012829823 0.008714597 0.005567659 0.011861535 0.0113773905 0.008956669 0.008230452 0.009682885 0.01355604 0.009682885 0.0113773905 0.0113773905 0.010409102 0.012587751 0.01016703 0.009440813 0.008714597 0.011135318 0.012103607 0.010409102 0.01016703 0.010651174 0.012587751 0.008956669 0.008472525 0.012829823 0.012829823 0.010651174 0.009440813 0.012829823 0.0113773905 0.011135318 0.0099249575 0.008956669 0.0113773905 0.010893246 0.0072621643 0.012345679 0.01355604 0.009440813 0.008472525 0.009440813 0.010893246 0.008472525 0.009440813 0.010409102 0.006535948 0.010409102 0.008714597 6.5630255 0.0 0.0 0.0 4.0 152184.0 380928.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1365764200.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.45448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 372736.0 552.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 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 372836.0 0.0 0.0 0.0 0.0


Input: 0.0057925736 0.0038989554 0.0037106927 0.0038663791 0.0035921792 0.003752462 0.003767651 0.0038729743 0.0036791158 0.0037380727 0.0036741195 0.0038070225 0.0038070225 0.003860783 0.0039023529 0.0040264623 0.00359098 0.0036641266 0.003640344 0.0038096204 0.003732077 0.0038477927 0.0038411974 0.003944322 0.0037574586 0.0038346022 0.0037786432 0.003897756 0.0038427962 0.0039505176 0.003949718 0.004033857 0.003647139 0.0036877093 0.0036137635 0.0037626547 0.0035757911 0.003759657 0.0037240828 0.0038298059 0.0037104927 0.003759657 0.0037384725 0.0038859649 0.0037960303 0.0038493916 0.0039129453 0.003926735 0.0037200858 0.00371429 0.0037446679 0.0038505907 0.003767651 0.0038018262 0.0038827672 0.0039389264 0.0038258086 0.003855587 0.0039033522 0.004022865 0.0039137444 0.0039864914 0.004091415 0.004112799 0.0036359471 0.0037232835 0.0037164884 0.003884166 0.00361836 0.003838 0.0038569858 0.0039251363 0.0036891084 0.003785638 0.0038060232 0.003952916 0.0037166884 0.0038803688 0.003869177 0.0039886897 0.0038132179 0.003831005 0.003770649 0.0039243368 0.003696303 0.0038184142 0.0038701764 0.0039521167 0.0037792427 0.0038479925 0.0038827672 0.003928334 0.0038338029 0.0039894893 0.004008875 0.00415277 0.0037470663 0.0038417971 0.0037428692 0.003907749 0.0037394718 0.0039645075 0.0038449946 0.0040000817 0.003896557 0.0039561135 0.0038975563 0.003870576 0.0039003543 0.00393333 0.0039191404 0.0040768255 0.0037598568 0.0038865644 0.003907749 0.003954115 0.004017069 0.004021466 0.0039743003 0.0040736278 0.003983094 0.0039237374 0.0040122727 0.00402966 0.0040574395 0.0040870183 0.0041579665 0.0042471015 0.0038487918 0.003770649 0.0036425423 0.0039243368 0.0037408706 0.0039273347 0.0038154162 0.003934529 0.0036943047 0.0038631815 0.0037866372 0.004121793 0.0038312047 0.003978098 0.0038611828 0.0040688314 0.0037001004 0.0037440683 0.0037234833 0.0038326038 0.0037620552 0.003811619 0.0038214119 0.003970303 0.0037770444 0.003826808 0.003866579 0.0039043515 0.0038012266 0.003953316 0.003929733 0.004076226 0.0037466665 0.0038975563 0.0037510633 0.0039193407 0.0037906345 0.003973301 0.003806423 0.0039888895 0.0037598568 0.003811819 0.0038038248 0.00394772 0.0038671785 0.003957513 0.0039221384 0.004051444 0.0038451946 0.003911746 0.0038148167 0.0038879632 0.0039257356 0.0039415243 0.0039137444 0.0040348563 0.0038332033 0.003922738 0.0039335303 0.0040052775 0.0039621093 0.0039836937 0.004071629 0.0042389072 0.003873174 0.003818614 0.0038477927 0.0039385264 0.0038272077 0.0038785702 0.003940325 0.00398789 0.0038270077 0.0038439955 0.0038647803 0.0039511174 0.0039549144 0.0038941589 0.003982894 0.004108003 0.003883167 0.0039015533 0.0038973566 0.0039401255 0.003916143 0.003928134 0.0038673785 0.004027861 0.003927934 0.0039605103 0.0039201397 0.0040220656 0.003910347 0.004035256 0.003931931 0.004226916 0.0038188137 0.003922938 0.0039467206 0.0040194676 0.003915543 0.00391994 0.0038529888 0.00405684 0.004017069 0.004019867 0.00396111 0.004028061 0.0041207937 0.0040386533 0.0040488457 0.0041665602 0.0040262626 0.0040042787 0.003953116 0.004080223 0.0040580393 0.0040924144 0.0040290602 0.004192341 0.004115797 0.0041257897 0.0042089294 0.0041277884 0.004144376 0.0041963384 0.004275281 0.004651007 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00017282258 7.996418e-07 1.5992836e-06 1.5992836e-06 2.8987013e-06 2.7987462e-06 7.396686e-06 3.1985671e-06 2.4988806e-06 1.4993283e-06 0.0 5.997313e-07 1.2994178e-06 5.997313e-07 1.9991044e-06 3.0986118e-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 0.0002439907 1.6992387e-06 7.896462e-06 3.1985671e-06 1.9691179e-05 1.1494851e-05 6.936892e-05 3.388482e-05 4.39803e-06 2.29897e-06 1.9991045e-07 9.995522e-07 2.199015e-06 9.995522e-07 2.0990597e-06 4.997761e-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 0.000370534 8.79606e-06 2.318961e-05 1.3393999e-05 5.2876312e-05 3.408473e-05 0.00017562132 9.185885e-05 8.296283e-06 1.0495298e-05 8.896014e-06 2.8987013e-06 3.4984328e-06 4.7978506e-06 3.4984328e-06 6.0972684e-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 0.00013354018 5.0977164e-06 1.0795164e-05 8.396239e-06 5.5675057e-05 2.8087417e-05 7.546619e-05 4.4879893e-05 6.297179e-06 1.0195433e-05 9.895567e-06 4.1981193e-06 5.5974924e-06 3.9982087e-06 2.7987462e-06 4.4979847e-06 7.866476e-05 4.997761e-06 7.296731e-06 2.9986566e-06 1.1594805e-05 1.2394447e-05 3.198567e-05 2.069073e-05 2.9986566e-06 8.296283e-06 6.3971343e-06 1.7991939e-06 3.1985671e-06 8.9959696e-07 1.5992836e-06 8.896014e-06 0.0012914215 0.00019311349 0.00019481272 0.00019011484 0.00024099204 0.00036333723 0.00017442186 0.0002470893 0.0007223764 4.078173e-05 6.60704e-05 0.00012884228 0.00041781281 0.00010555271 0.00020660744 0.0007390689 0.0002517872 4.158137e-05 3.8182894e-05 4.6978952e-05 5.1077117e-05 5.3775908e-05 4.3180655e-05 5.5974924e-05 9.535728e-05 3.138594e-05 3.408473e-05 3.498433e-05 7.5566146e-05 3.768312e-05 4.9477832e-05 8.2463055e-05 0.06013146 0.060860634 0.059900865 0.061870683 0.060454216 0.061598405 0.061662775 0.063600205 0.060973283 0.061401192 0.061873082 0.06305925 0.062037606 0.063151605 0.06359331 0.06543838 23001.0 5.714491 131439.0 0.009669885 0.009837263 0.009875303 0.009882911 0.010004641 0.009936168 0.009228615 0.01028614 0.009822046 0.009936168 0.010172019 0.010065505 0.0104383025 0.010248099 0.011054558 0.009875303 0.009936168 0.010187235 0.009920952 0.009898128 0.009913344 0.010347005 0.010149195 0.009867695 0.00964706 0.010057897 0.010400262 0.010552424 0.00989052 0.01008833 0.010331789 0.01040787 0.009182967 0.010324181 0.009624236 0.010301356 0.010499167 0.010385046 0.010811099 0.01112303 0.010027465 0.01060568 0.010012249 0.010042681 0.009753574 0.010133979 0.011252368 0.010461126 0.010811099 0.0102404915 0.010004641 0.011138246 0.009936168 0.01124476 0.010316573 0.010354613 0.010339397 0.009981817 0.010879572 0.010248099 0.010385046 0.010316573 0.010468734 0.01144257 0.009974209 0.0109023955 0.0102252755 0.010643721 0.010871964 0.012637041 0.010278532 0.010666545 0.010514383 0.011967529 0.010301356 0.010080722 0.011221936 0.010499167 0.011434962 0.011708854 0.009936168 0.009920952 0.011457787 0.010681761 0.012340325 0.0111002065 0.010582856 0.01076545 0.01040787 0.010194844 0.010948044 0.010278532 0.010689369 0.010575248 0.011221936 0.010392654 6.58266 1.0 0.0 0.0 79.0 5003648.0 131072.0 1.0 0.0 123.0 0.0 1.0 0.0 0.0 0.0 1198222000.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 2.0 7.0 10.0 5.0 2.0 4.0 0.0 34304.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34304.0 0.0 587544060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.51515704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.562249 0.0 3.8423312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33822.0 0.0 4136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 39064.0 4136.0 122880.0 0.0 0.0 6944.0 587579900.0 0.0 0.0 28.0 8736.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 9976.0 0.0 0.0 520.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.12745805 0.3005288 0.009565874 0.0029102673 0.008317427 0.0039367676 0.0068081943 0.0029102673 0.0052379263 0.0039978027 0.010409269 0.0018310547 0.0020613237 0.002704967 0.003548362 0.0011263761 0.0023664995 0.0035178445 0.004197554 0.0028325862 0.0018366034 0.0017922141 0.0023914685 0.0021112615 0.0012650923 0.0018005371 0.0010209517 0.0009099787 0.0013316761 0.0017894398 0.0011846368 0.0016534979 0.0036204944 0.004580411 0.00320712 0.0010459207 0.0011236017 0.0024192117 0.0072715064 0.0005409934 0.0031821511 0.0021029385 0.004461115 0.0016840155 0.0018643466 0.002721613 0.0039950283 0.0010292747 0.002421986 0.0023054644 0.0023942427 0.0021445535 0.0020252576 0.0016479492 0.0017755682 0.0019586736 0.0019392534 0.0032431863 0.0022527522 0.00040227716 0.0013344504 0.0010181774 0.0014204546 0.001057018 0.0006048029 0.0019808682 0.0035289417 0.0043473677 0.001986417 0.0013427734 0.0016174316 0.00097378815 0.0009904341 0.0021722966 0.0039534136 0.0027021929 0.0015647195 0.0021362305 0.001833829 0.00089610706 0.0016174316 0.0008433949 0.0018809926 0.0025967686 0.0024552778 0.0011985085 0.0009876598 0.001151345 0.0031266646 0.0009099787 0.0014093573 0.00060202857 0.0012650923 0.00067416107 0.00036343661 0.0019309304 0.0008905584 0.0058399546 0.002524636 0.005185214 0.0062339087 0.009560325 0.0028076172 0.004461115 0.0023859197 0.0045166016 0.0015980114 0.0038119229 0.011926824 0.0035622336 0.005448775 0.012134898 0.007959539 0.007310347 0.0079623135 0.006011963 0.008544922 0.0071189185 0.0017838911 0.00937722 0.0017755682 0.0031904741 0.0017117587 0.016623758 0.0005271218 0.0013483221 0.00046331232 0.040818647 0.0010431464 0.0013178046 0.0007684881 0.00068525836 0.0017727938 0.0020613237 0.0006048029 0.00046886096 0.001176314 0.00054376776 0.00042169745 0.00043279474 0.00078235974 0.0013538707 0.0010459207 0.00051047583 0.0005992543 0.00047718396 0.00036621094 0.00035511365 0.00079345703 0.000571511 0.00041060013 0.00048550693 0.00043834338 0.0014870383 0.000690807 0.00020252574 0.00076293945 0.0004910556 0.00021917169 0.00020530006 0.00038563123 0.0005687367 0.0017117587 0.00054376776 0.00034679065 0.0008156516 0.0008128773 0.0010126288 0.00039672852 0.00046331232 0.00027743253 0.00042447177 0.0003273704 0.00041892313 0.00067693536 0.0012983843 0.0009016557 0.0005964799 0.0005576394 0.00045498935 0.00058538263 0.00069912995 0.000460538 0.0002607866 0.00028298117 0.00029130417 0.00061035156 0.0008156516 0.00046886096 0.0077237217 0.000230269 0.00018033115 0.0006075772 0.0006630637 0.0006658381 0.00038563123 0.0002968528 0.0006380948 0.0007324219 0.00055209076 0.001756148 0.0007906827 0.00033846768 0.000460538 0.0008239746 0.0002413663 0.001040372 0.0010431464 0.0007324219 0.0019975142 0.000579834 0.00022194603 0.00034956497 0.0005992543 0.000690807 0.00024414062 0.0002607866 0.00042169745 0.000588157 0.0003606623 0.00048550693 0.00033846768 0.014631792 0.00022749467 0.0006547408 0.0006242232 0.00031072443 0.00032459607 0.00021084872 0.00033846768 0.00035233932 0.0011901855 0.0010431464 0.00053544476 0.00045221503 0.00031627307 0.00026633524 0.00019142845 0.00023581764 0.0010043058 0.0015813654 0.0007962314 0.0004411177 0.000682484 0.00046886096 0.00069912995 0.0002746582 0.00086004083 0.00045498935 0.000230269 0.0002746582 0.0007768111 0.00027743253 0.00021917169 0.0008461692 0.039545234 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0104917865 2.9213408e-05 0.0011727096 0.0031926082 0.00020032052 4.3124553e-05 0.0038366942 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01276626 0.00037142762 0.0047117053 0.0018474003 0.0023398548 0.0017667157 0.01342843 0.006392172 0.00015858708 4.3124553e-05 0.00019614717 0.0001808449 5.008013e-05 4.8689013e-05 4.0342326e-05 0.0012422655 0.07468478 0.0031411368 0.0053474447 0.0059887487 0.0066077947 0.004610154 0.019970842 0.017401453 0.0014857105 0.0009737803 0.0006927751 0.0011059361 0.00075676636 0.0013702479 0.00029074296 0.0037198407 0.26024 0.013539719 0.017761752 0.008051772 0.012304409 0.008320257 0.023447238 0.06519598 0.0071962364 0.0033790176 0.0040815305 0.008509449 0.005024706 0.0131460335 0.0035612537 0.030571137 0.114287026 0.00967103 0.010390235 0.00610282 0.0064394698 0.005067831 0.012814948 0.027066918 0.0034513555 0.0020101606 0.0034054487 0.0030034166 0.0030548878 0.0064116474 0.002160401 0.009733629 0.00474231 0.0010099493 0.0017388933 0.0006343483 0.0007289441 0.00054531696 0.0018348802 0.0012241809 0.00038255652 0.00018640936 0.00024344507 0.00016415153 0.00017249821 0.00014050258 0.00011128918 0.00038533876 0.0084051145 0.002391326 0.0012533943 0.0009042245 0.0009125712 0.0005327969 0.0021798767 0.0012255721 0.0005995704 0.0004646323 0.00047854346 0.0008708378 0.0005244502 0.0003700365 0.00055505475 0.0011240207 0.00060235267 7.790242e-05 0.00017249821 0.00014606705 0.00019058271 0.0001613693 0.0006162638 0.00031578302 8.207576e-05 7.5120195e-05 5.9817932e-05 5.4253473e-05 5.8426816e-05 5.2862357e-05 5.9817932e-05 0.00012380921 0.0019948585 0.00038255652 0.0005035835 0.00046741453 0.0005814859 0.00046741453 0.001153234 0.0006482594 0.00034360532 0.0002657029 0.0002559651 0.0002629207 0.0003130008 0.00021840501 0.00030048078 0.000388121 0.004593461 0.0014300658 0.0017152444 0.0020073785 0.0023815883 0.001552484 0.0035890758 0.002243868 0.0013159945 0.0011713186 0.0010878517 0.0010057759 0.0011031539 0.0010280338 0.0009918647 0.0012728699 1301.0 16.944658 22045.0 0.008664096 0.0004536176 0.0013608529 0.00049897935 0.006396008 9.072352e-05 0.007076435 0.0003628941 0.0010886822 0.0002268088 0.0002268088 0.0002268088 0.005307326 0.0014062145 0.01828079 0.0003175323 0.010115673 0.006259923 0.0021773644 0.004173282 0.004400091 0.004082558 0.0009979587 0.0027670674 0.0025856204 0.0016330234 0.0006804264 0.0 0.0017237469 0.005534135 0.0015876616 0.0003175323 0.00027217055 0.009299161 0.011476525 0.017691087 0.009253799 0.005125879 0.006622817 0.0029485144 0.0021320027 0.012973463 0.0003175323 0.0034928555 0.0057609435 0.007938308 0.0029031527 0.0031299614 0.008301202 0.0014515764 0.0074846903 0.02113858 0.011385802 0.0030392378 0.0048083467 0.002086641 0.001496938 0.00027217055 0.0004536176 0.00027217055 0.0009979587 9.072352e-05 4.536176e-05 0.022544796 0.00058970286 0.04767521 0.011204354 0.025946926 0.021002496 0.10233613 0.007031073 0.020548876 0.0073032435 0.042367883 0.0010886822 0.010705375 0.035200726 0.023406668 0.046087548 0.056929007 0.013835337 0.0012247675 0.053163983 0.04459061 0.07974597 0.022272624 0.004082558 0.0073032435 0.008210478 0.016557042 0.0010886822 4.536176e-05 0.0 4.536176e-05 4.536176e-05 0.00013608528 5.303508 1.0 0.0 0.0 1.0 360448.0 385024.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2569851100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 357888.0 512.0 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 -357888.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.312833 0.0 4.282556 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 -357832.0 0.0 1420.0 0.0 0.0 0.0 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 365901.0 1420.0 368640.0 0.0 0.0 0.0 0.0 12.0 376832.0 56.0 365760.0 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