Input: 0.45784912 0.012054443 0.0049377442 0.004547119 0.006750488 0.0028503418 0.0024902343 0.002581787 0.007232666 0.0012451172 0.0012329102 0.00097045896 0.0045410157 0.0018981934 0.0010925293 0.003149414 0.0047424315 0.0009765625 0.0006164551 0.000579834 0.0020446777 0.0027709962 0.00052490237 0.00042114258 0.002380371 0.00087280275 0.00045776367 0.0010131836 0.0014282226 0.0005065918 0.00041503907 0.00057373045 0.014508056 0.001184082 0.0019042969 0.0008239746 0.0040527345 0.0016174316 0.00055541995 0.00040893554 0.0033447265 0.0028564453 0.0004699707 0.001159668 0.00079345703 0.00072631834 0.00097045896 0.0014648438 0.0043945312 0.0030273437 0.0037780763 0.0033691407 0.0024230957 0.0026306151 0.0008239746 0.00081787107 0.0064453124 0.001751709 0.000994873 0.0027404786 0.00088500977 0.0008911133 0.0003845215 0.0005187988 0.005200195 0.011791992 0.0014099121 0.0024414062 0.0041870116 0.00748291 0.0026733398 0.0022399903 0.0023986816 0.003967285 0.00097045896 0.0007751465 0.0019409179 0.0046936036 0.0021972656 0.00065307616 0.0053649903 0.0013000488 0.0027282715 0.0029296875 0.001159668 0.00178833 0.004425049 0.0026062012 0.0014526367 0.0031860352 0.00033569336 0.00095214846 0.000592041 0.0021972656 0.002416992 0.001739502 0.00091552734 0.0046142577 0.0013854981 0.0042907717 0.0040161135 0.013122559 0.002001953 0.0012145996 0.004296875 0.006304932 0.0036804199 0.00042114258 0.0064208983 0.0018127442 0.0051879883 0.005761719 0.0044555664 0.0015075684 0.006134033 0.0052978517 0.015856933 0.009710694 0.0014526367 0.0011352539 0.0012756347 0.0015869141 0.00023803712 0.00032958985 0.00092773436 0.0015258789 0.00087280275 0.000579834 0.0052368166 0.0010009765 0.00046386718 0.0085083 0.001965332 0.004345703 0.0030029297 0.00014038086 0.0012939454 0.0058410643 0.0011169433 0.015808105 0.00042114258 0.0057739257 0.00039672852 0.00037841796 0.00072631834 0.00012817382 0.00025634764 0.00054321287 0.00048828125 0.00036621094 0.00017089843 0.00010375977 0.0003173828 0.00025024413 0.00022583008 0.00010986328 0.00034179687 0.0003112793 0.00016479492 0.0001586914 0.00046386718 0.0008239746 0.00026245118 0.0006225586 0.0005065918 0.00042114258 0.00017700196 0.00012207031 0.0006469727 0.00025024413 0.00012817382 0.00018310547 0.00056762696 9.765625e-05 0.00022583008 0.00012817382 0.00052490237 0.00018310547 0.00018920898 0.00017089843 0.00040893554 0.00028686522 0.0006164551 0.00042114258 0.0014343262 0.00039672852 0.00025634764 0.0002685547 0.00059814454 0.00059814454 0.00039672852 0.00033569336 0.0045532226 0.0016052246 0.0015869141 0.0032714843 0.0015441894 0.00025634764 0.002166748 0.0020812987 0.0013000488 0.0015686036 0.00028686522 0.0003845215 0.0017578125 0.00020751954 0.00091552734 0.0004333496 0.00092773436 0.00059814454 0.00055541995 0.0005126953 0.0005493164 0.000115966795 0.00037841796 0.00048828125 0.001397705 0.00021972656 0.00025634764 0.00050048827 0.00056762696 0.00010375977 0.0002685547 0.0003112793 0.0016296387 0.00034790038 0.00024414062 0.00017700196 0.0011230469 0.00016479492 0.00034790038 0.00025634764 0.009283448 0.0019714355 0.0003173828 0.0031433105 0.0023254394 0.00048828125 0.00041503907 0.0004943848 0.00234375 0.0013244629 0.00021362305 0.0005065918 0.0011291504 0.00023193359 0.0014099121 0.0010131836 0.002319336 0.00087280275 0.00045776367 0.0008361816 0.0036254884 0.00061035156 0.003161621 0.035473634 0.26415095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012157896 5.5277123e-05 5.5277123e-05 6.1419023e-06 4.606427e-05 1.8425708e-05 0.000116696145 5.5277123e-05 1.5354757e-05 6.1419023e-06 1.2283805e-05 9.212854e-06 3.0709512e-06 3.0709512e-06 1.8425708e-05 0.0 0.0057119695 1.8425708e-05 0.0001381928 6.1419023e-06 4.2993317e-05 2.456761e-05 1.5354757e-05 3.9922368e-05 0.00013512185 1.8425708e-05 3.0709512e-06 3.0709514e-05 2.456761e-05 6.1419023e-06 2.1496659e-05 5.220617e-05 0.011116844 0.00017811517 0.00021803754 8.2915685e-05 0.00019961184 5.220617e-05 0.000116696145 0.000113625196 7.677378e-05 3.3780463e-05 0.00010441234 4.2993317e-05 6.448998e-05 4.2993317e-05 5.5277123e-05 7.9844736e-05 0.004870529 1.5354757e-05 0.00043300414 3.0709512e-06 9.212854e-06 0.0 3.0709512e-06 0.00015047661 0.00014740566 0.0 0.0 3.0709512e-06 3.0709514e-05 0.0 3.0709512e-06 0.00062033214 0.013484547 4.2993317e-05 0.00084758253 2.456761e-05 0.00010748329 5.8348072e-05 0.000945853 0.0010256977 0.00031937895 2.1496659e-05 1.5354757e-05 3.3780463e-05 5.5277123e-05 6.1419023e-06 4.606427e-05 0.0018333578 0.009252776 7.370283e-05 0.00021189563 0.00023646325 0.00040229462 0.00018118613 0.00073395733 0.00039615273 0.0001381928 2.456761e-05 5.220617e-05 9.827044e-05 8.905758e-05 3.3780463e-05 0.00019346992 0.00046064268 0.02340065 0.0003224499 0.0013604314 0.0010871168 0.001768868 0.00072167354 0.0047691874 0.0026594438 0.00016583137 0.00017504422 9.827044e-05 0.00012897995 8.5986634e-05 5.8348072e-05 0.00030709512 0.00062647404 0.025811346 0.00081380206 0.0024813286 0.0009888463 0.0022817168 0.00050670694 0.0034517492 0.002398413 0.00037465605 0.00038079795 0.00022417944 0.00020268279 0.00031630797 0.00012283806 0.0005312746 0.0031385121 0.01936849 0.0010318396 0.0011485358 0.0005619841 0.0024843996 0.0013420057 0.0046893423 0.0028314171 0.0010564072 0.00015968947 0.00014433471 0.00017811517 0.0010625492 0.00016890232 0.00052513264 0.0009827045 0.025200225 0.0012775158 0.006160328 0.0055983444 0.0054233 0.0022295106 0.016245332 0.008512677 0.0015907527 0.00040229462 0.00029174038 0.00039922367 0.00028559848 0.00028559848 0.0004852103 0.0010840457 0.02669885 0.0022909297 0.0137425065 0.014863404 0.0104135955 0.0033012726 0.023901213 0.012078051 0.004802968 0.00035008843 0.0002211085 0.00010441234 0.000116696145 0.00014126376 6.7560926e-05 0.000113625196 0.003089377 0.00020268279 0.00043914604 0.0002211085 0.0008383697 0.00049442315 0.00029174038 0.00069710595 0.0013757861 0.000116696145 0.00014433471 0.0003838689 0.00040536557 0.00015968947 0.00080766017 0.0029112617 0.03857729 0.0061449734 0.004462092 0.005057857 0.015686419 0.013288006 0.0053434554 0.010484228 0.02508353 0.0014249213 0.0016767394 0.0028037785 0.010315325 0.0028621266 0.009799405 0.023090482 0.032300264 0.007244374 0.0043024025 0.006808299 0.014798914 0.012569403 0.0047415486 0.011129128 0.020203788 0.0011116844 0.0020329698 0.0022940007 0.010689981 0.003399543 0.009489239 0.020406472 0.0006817512 0.00045450078 0.0005865517 0.00031937895 0.00052513264 0.00040229462 0.00029174038 0.0003593013 0.000377727 0.00032552084 0.0003715851 0.00027331465 0.0003285918 0.00033166274 0.00034701749 0.00031323702 1198.0 18.230385 21840.0 0.07710623 0.0005952381 0.0064102565 0.00045787546 0.0005952381 0.0023809525 4.5787547e-05 0.0002747253 0.018360807 0.018543957 0.00018315019 0.00036630037 0.00096153846 0.0022893774 0.0032967033 0.008333334 0.023305861 0.019093407 0.022619048 0.005540293 0.01007326 0.010760074 0.002335165 0.0031135532 0.039331503 0.0031135532 0.003021978 0.00064102566 0.0005494506 0.00036630037 0.00013736264 0.0011904762 0.0027472528 0.012362638 0.007142857 0.011675824 0.0154761905 0.010622711 0.0037087912 0.010439561 0.008012821 0.023351649 9.157509e-05 0.00032051283 0.0041208793 0.00915751 0.0076007326 0.0017399268 0.008150184 0.0011446887 0.017307693 0.0063186814 0.0033882784 0.0024725276 0.005265568 0.0032509158 0.0057234433 0.0006868132 0.0006868132 0.00022893773 0.0005952381 0.00073260075 0.00022893773 0.0021520148 0.00041208792 0.028708791 0.008791209 0.02815934 0.020650184 0.082234435 0.007921246 0.0065934067 0.0149725275 0.038186815 0.001419414 0.00064102566 0.03956044 0.009249085 0.03191392 0.034981687 0.019505495 0.00032051283 0.03415751 0.030128205 0.06588828 0.0063186814 0.0025641026 0.0023809525 0.0038003663 0.0074175824 0.00041208792 4.5787547e-05 9.157509e-05 4.5787547e-05 0.00013736264 9.157509e-05 5.435359 0.0 0.0 0.0 6.0 163840.0 172032.0 0.0 0.0 157.0 0.0 1.0 0.0 0.0 0.0 1106691700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 4.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 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 -61440.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.988128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4646113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5569587 0.0 2.743172 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15372.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57867.0 0.0 75466.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 -1.0 -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 -2.0 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 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 77408.0 34968.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 72304.0 0.0 0.0 652.0 65536.0 0.0 0.0 0.0 0.0


Input: 0.16597518 0.012048657 0.019010318 0.006798415 0.01181475 0.003686962 0.00278447 0.0033663143 0.01390091 0.0022123721 0.0023834168 0.0016982636 0.0057248785 0.0017889027 0.001303058 0.0042844 0.007946509 0.001562305 0.0017187305 0.00087617734 0.005516311 0.0020462007 0.00091272534 0.0010988765 0.002854155 0.0007338838 0.00091516186 0.00092149683 0.0024969592 0.00062618905 0.00061887945 0.0008727662 0.003327817 0.00082793395 0.0006671228 0.00061156985 0.00513475 0.00093903986 0.00067394506 0.0006242398 0.0015545082 0.00059889985 0.00057550916 0.0011281149 0.0016777967 0.0007178027 0.0034145575 0.00058428064 0.005047035 0.0032951676 0.0032478988 0.008303218 0.003934514 0.0030183773 0.0031309451 0.002936997 0.004734184 0.0031709042 0.0033088122 0.0048750155 0.0048735538 0.0035281 0.003988605 0.0030061947 0.0146932695 0.0036153279 0.0035110444 0.008180904 0.005953425 0.013691368 0.0041815783 0.0029618498 0.005314566 0.004296095 0.0021889815 0.0016690253 0.0033409742 0.0038960166 0.0025218118 0.002472594 0.007685313 0.0029301748 0.003556851 0.010530209 0.0058364714 0.008351948 0.00594173 0.0034793695 0.002857566 0.0044408254 0.0024755178 0.006340834 0.0037576214 0.0027566936 0.003261056 0.0019877239 0.001466793 0.008470851 0.0012850276 0.004273679 0.0078056776 0.018976208 0.0052083335 0.0022464837 0.0048321327 0.0069026984 0.0024287363 0.0010403997 0.009179883 0.004809229 0.008525429 0.008763722 0.0035592876 0.0004034899 0.008932331 0.008564414 0.01893235 0.0066419896 0.0020666674 0.0010784096 0.0035212778 0.005698564 0.0006018237 0.0007694572 0.0026855469 0.001705086 0.0012616368 0.00091516186 0.004861371 0.00078748754 0.0006412955 0.0063403468 0.0032425383 0.003558313 0.0005526057 0.00049559085 0.0016997255 0.008693063 0.00040933758 0.043327406 0.0011480944 0.006560609 0.00046830167 0.00059695065 0.0027264806 0.00045806824 0.0006315494 0.00052482926 0.0015657162 0.00061156985 0.0004268806 0.00041567255 0.0012538399 0.0004702509 0.00038302303 0.0005199562 0.0026748262 0.00043029175 0.0003961803 0.00051508314 0.0012986722 0.0022396613 0.00052288 0.0007835891 0.001198287 0.0007543507 0.00034891156 0.00037668803 0.0010613538 0.0003459877 0.0006252144 0.00049023045 0.0009453749 0.00039179454 0.00040836298 0.0003898453 0.002356615 0.00064470666 0.0015993404 0.000516545 0.0011217799 0.0004112868 0.0013946716 0.0008888473 0.0018931862 0.0009989786 0.0011456579 0.0006105952 0.0010633031 0.0004629413 0.00063349865 0.0007090312 0.008738383 0.0007260869 0.0014380419 0.009067315 0.0030982955 0.0005282404 0.0033443854 0.0023005747 0.0023600261 0.0015437874 0.00087617734 0.0005998745 0.001393697 0.00043955058 0.0006266763 0.0005925649 0.0019073181 0.0009088269 0.0020939566 0.0011709979 0.0012689464 0.0004946162 0.001362022 0.0008147767 0.0035110444 0.00064032094 0.0011500437 0.0017455324 0.001198287 0.00054578343 0.00054821995 0.0006218033 0.0017270147 0.00050972274 0.0006412955 0.00046537785 0.0018103442 0.0012786926 0.0008240355 0.00066224975 0.017892925 0.0032902944 0.001002877 0.004247852 0.004013945 0.00078992406 0.0008508374 0.0007061073 0.005566504 0.0011773328 0.0015725385 0.0014511992 0.0053881495 0.001088643 0.0018727194 0.0011695359 0.0054485756 0.0012450685 0.0014892091 0.0015900816 0.009197913 0.001388824 0.0019633584 0.03381372 0.0019789652 1.4138948e-05 3.6566244e-06 2.4377496e-07 0.0004992511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009346332 9.726621e-05 9.750999e-07 7.3132486e-07 0.000451715 3.9003994e-06 9.750999e-07 1.2188748e-06 7.3132486e-07 1.2188748e-06 7.3132486e-07 7.3132486e-07 7.3132486e-07 7.3132486e-07 7.3132486e-07 7.3132486e-07 0.0008693015 0.00012188748 3.1690745e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9003994e-06 0.0 0.0 2.4377496e-07 0.0014580181 0.0004926692 2.6815246e-06 2.1939748e-06 1.3895173e-05 2.9252994e-06 1.2188748e-06 2.1939748e-06 2.9252994e-06 1.7064248e-06 1.7064248e-06 1.2188748e-06 4.1441745e-06 3.4128495e-06 4.1441745e-06 1.9501997e-06 0.0004431829 7.5570238e-06 2.4377496e-06 0.00012968828 0.00035859298 3.4128495e-06 2.4377496e-06 1.9501997e-06 1.9501997e-06 2.4377496e-06 1.2188748e-06 1.9989548e-05 1.7064248e-06 1.9501997e-06 2.1939748e-06 1.7795572e-05 0.0007847116 1.6820473e-05 9.750998e-06 9.263448e-06 2.9740546e-05 2.9009221e-05 5.850599e-06 3.4128495e-06 1.1701198e-05 2.1939748e-06 1.4626497e-06 3.7541344e-05 4.875499e-06 3.1690745e-06 3.1690745e-06 4.5829693e-05 0.0025693881 5.704334e-05 4.558592e-05 5.9724865e-05 0.00024084967 2.8765446e-05 3.3640947e-05 1.51140475e-05 4.1929292e-05 1.5845373e-05 6.094374e-06 0.00015455333 1.3651398e-05 9.994774e-06 1.8526896e-05 0.00018405009 0.00612899 0.00041929295 0.00067452533 5.9724865e-05 0.0007196237 0.0003915026 0.0042543607 0.0020730624 1.29200735e-05 4.1441745e-06 8.775899e-06 8.897786e-05 2.3646171e-05 9.994774e-06 3.3640947e-05 0.0005736025 0.0053018616 0.0012293571 0.00017941838 0.0006496603 0.0015986762 0.0017437224 0.006221137 0.0035793479 6.8013214e-05 3.4128494e-05 3.6322468e-05 7.166984e-05 3.1690746e-05 1.8039347e-05 4.6073466e-05 0.001157931 0.0176281 0.0014528987 0.0003710255 0.000422462 0.0040171677 0.0024262923 0.007027301 0.0029569904 0.00026352072 0.00047926157 0.00019209467 0.00021549707 0.0002493818 0.00014675253 0.00019136335 0.0009014798 0.05157376 0.0037163494 0.0018331878 0.0016030641 0.013967818 0.006654569 0.021732537 0.01223214 0.0017144693 0.001439735 0.0008217654 0.0010869926 0.0012488591 0.0007564337 0.0011442797 0.0037860689 0.07295697 0.007732786 0.0072998414 0.045310453 0.022398775 0.01439223 0.03511042 0.023575963 0.0058186646 0.004785546 0.003927946 0.0044571813 0.00474703 0.0041334485 0.004973497 0.008474105 0.011014728 0.0010557894 0.0008761272 0.00065209804 0.0032268493 0.0026783554 0.003922339 0.002684206 0.0013934177 0.0005511752 0.00036761264 0.00059481093 0.00079080596 0.0004234371 0.0007644783 0.0019543439 0.027724283 0.003883335 0.002713459 0.0032675597 0.009658608 0.011611246 0.0057655214 0.006126309 0.017981328 0.001697405 0.0015701546 0.0025847459 0.0068781106 0.0033565375 0.0074002766 0.014091656 0.0572564 0.011424026 0.009004803 0.012247254 0.025339676 0.036257382 0.0121170785 0.014078004 0.056111634 0.004995924 0.0052509126 0.0071421186 0.023692 0.011127596 0.026150715 0.044269778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27626.0 12.924274 357046.0 0.002669124 0.0008990438 0.0007954157 0.0006749831 0.003610179 0.0007422013 0.001153913 0.0007422013 0.002226604 0.00066097925 0.00082062255 0.00069458835 0.003159257 0.0015516208 0.017557962 0.00059376104 0.008472297 0.0075788554 0.007060715 0.0071139294 0.008220229 0.0067946427 0.007685284 0.0068254513 0.009250909 0.0074360166 0.006861861 0.0068282518 0.012544602 0.008085793 0.010984579 0.006368927 0.0026971314 0.009194894 0.005254225 0.019619321 0.010110742 0.007027106 0.010060328 0.0058451854 0.015208124 0.013040337 0.000733799 0.0012911501 0.0066910144 0.0057639633 0.0038118337 0.0051533976 0.008150211 0.0018120914 0.007721694 0.016787753 0.020672407 0.0033076971 0.0066321986 0.0033076971 0.002106171 0.003657792 0.0014928048 0.0033160993 0.0019857385 0.0031704598 0.0034673403 0.0034869458 0.002226604 0.04255474 0.0052934354 0.020798441 0.01942887 0.08833595 0.008096996 0.010542059 0.009715835 0.035281166 0.0015320155 0.003632585 0.033018153 0.023728035 0.04471693 0.0435126 0.013919775 0.0008990438 0.045489937 0.04237829 0.06962128 0.015729066 0.003968676 0.0033413062 0.009242507 0.017941665 0.0016020344 0.0004929337 0.0019857385 0.00057135493 0.0005881595 0.00057135493 5.653902 1.0 0.0 0.0 2.0 2052096.0 2105344.0 0.0 0.0 510.0 1.0 1.0 0.0 1.0 0.0 1541232500.0 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 5.0 0.0 5.0 0.0 1821696.0 1024.0 4096.0 10.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -168448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1816576.0 -13824.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.957747 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.7469152 -6.3202057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.342281 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.473384 -5.261373 4.1440125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64.0 0.0 0.0 -167866.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -4940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21616.0 0.0 0.0 -20544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1816360.0 -13688.0 25600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 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 -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 1.0 2.0 -2.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 3.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -4.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 3.0 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 0.0 1.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -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 -3.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 1.0 -3.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 -1.0 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 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 3.0 1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -3.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13688.0 1880064.0 25600.0 2076672.0 0.0 0.0 0.0 0.0 165396.0 1908736.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 1904640.0 0.0 0.0 0.0 0.0 2116.0 1882580.0 2470.0 1896448.0 0.0 0.0


Input: 0.056619916 0.008295454 0.006172712 0.0056575434 0.0057620252 0.0049541 0.0042030714 0.0054144417 0.005047203 0.0056296126 0.0037541094 0.0044710007 0.0049561695 0.0031675622 0.0043168636 0.004641689 0.0050347894 0.003774799 0.004929273 0.004157555 0.004352036 0.0031675622 0.004101693 0.0038430742 0.0050678924 0.0033506642 0.0031665277 0.0029358398 0.004151348 0.0034406635 0.003786178 0.0037872125 0.0061675394 0.003820316 0.003481008 0.003025839 0.0048899627 0.004160658 0.0038451431 0.0037241096 0.004731688 0.0038937635 0.0033299748 0.0030961833 0.004369622 0.0037282475 0.003725144 0.0035823865 0.0055116825 0.0039516944 0.0031096316 0.0029037711 0.003670317 0.0030692872 0.0026834279 0.0028654954 0.0041689337 0.0033206644 0.0035285938 0.0033579057 0.004007556 0.0032275617 0.00350687 0.0034572151 0.006597881 0.003945487 0.0036196278 0.003221355 0.004158589 0.0032244583 0.0035399732 0.0030682527 0.0049934103 0.0037758334 0.003709627 0.00358549 0.004125486 0.0031210107 0.0035627317 0.0034706632 0.005166168 0.003628938 0.0036496276 0.0033403195 0.0039372114 0.0033827329 0.003365147 0.0035410076 0.0046530683 0.0036382482 0.0038058332 0.003504801 0.004111003 0.0033930778 0.0036941099 0.0037882472 0.0059047826 0.0036258346 0.003337216 0.0029513568 0.004009625 0.003051701 0.0032710098 0.003032046 0.004979962 0.003160321 0.0031965275 0.0030568733 0.0035803176 0.0028323922 0.003091011 0.003195493 0.0045030694 0.0032896302 0.0032223894 0.0031458382 0.0038937635 0.0033351472 0.0033030785 0.0036299725 0.0046147928 0.003299975 0.0034799736 0.0031685967 0.004037556 0.0031944585 0.0034737668 0.0033485952 0.008634762 0.0045992755 0.004021004 0.003524456 0.004367553 0.0034282499 0.0030237702 0.0033858365 0.004542379 0.0038327295 0.002964805 0.0031923896 0.003731351 0.0027972201 0.0028510129 0.0029823913 0.0052354774 0.0032161826 0.0035037666 0.0030310114 0.0036579033 0.0031706656 0.0033030785 0.0032668717 0.004543414 0.0028458405 0.0030403219 0.0027061864 0.0035213525 0.0032244583 0.0029865291 0.0031530794 0.005016169 0.0034127326 0.0032699753 0.002803427 0.003774799 0.0030113566 0.0030589423 0.003184114 0.0041378997 0.0029999772 0.0031261833 0.0030185978 0.003642386 0.00282722 0.0029192881 0.0030382527 0.0046727234 0.0031158384 0.0038420397 0.0028572197 0.0035616972 0.003147907 0.0029844602 0.0031189418 0.004245485 0.0031530794 0.003339285 0.0031820447 0.0036516965 0.0031903207 0.0033351472 0.003343423 0.0067168456 0.0040613483 0.003731351 0.003341354 0.0041213483 0.0032492857 0.0033072163 0.003221355 0.004332381 0.0033258367 0.0031189418 0.003086873 0.0036496276 0.0029865291 0.0030827352 0.0027961857 0.004249623 0.0032710098 0.0030961833 0.003010322 0.0037075581 0.003027908 0.002931702 0.0029513568 0.0039806594 0.003099287 0.0027289449 0.0026410145 0.003524456 0.0029368743 0.0035803176 0.002888254 0.0049541 0.003230665 0.00339825 0.0029751498 0.0038006608 0.0030744595 0.0032037687 0.0029151503 0.004442035 0.005447545 0.0034727324 0.0031334246 0.0037903162 0.0030785974 0.0032472168 0.0031944585 0.00460962 0.003315492 0.0034199741 0.0030382527 0.003735489 0.003091011 0.00331963 0.0032492857 0.0043447944 0.0030310114 0.0031892862 0.0028737714 0.004009625 0.0030961833 0.00422583 0.0045103105 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09914388 0.062000845 0.06245081 0.055340957 0.060598653 0.0595874 0.05495261 0.05450679 0.06048267 0.05318641 0.05214875 0.05296376 0.056441274 0.050552383 0.05666341 0.053836245 4035.0 5.701363 23005.0 0.017083243 0.010519452 0.009345794 0.008693762 0.013431863 0.012605955 0.011866986 0.011562704 0.012605955 0.009737014 0.008519887 0.008563356 0.013953488 0.010475984 0.011736579 0.009910889 0.016648555 0.0119973915 0.008737231 0.0075201043 0.009780482 0.008432949 0.007867855 0.008302543 0.010302108 0.00838948 0.009650076 0.008911107 0.011606173 0.009084982 0.009650076 0.009258857 0.017996088 0.010910671 0.010389046 0.00912845 0.010823734 0.008824169 0.010736796 0.008259074 0.014170832 0.011562704 0.009693545 0.008911107 0.011388829 0.009345794 0.01169311 0.009519669 0.014735927 0.009606607 0.009910889 0.009041512 0.012040861 0.009345794 0.009606607 0.009780482 0.013692675 0.0092153875 0.010519452 0.009563139 0.011084547 0.009780482 0.010345577 0.010649859 0.017865682 0.010954141 0.009650076 0.008172137 0.013084112 0.008215605 0.009389264 0.008302543 0.015387959 0.009258857 0.008867637 0.008737231 0.0114322975 0.007998262 0.010084764 0.007824386 0.01317105 0.007954792 0.008737231 0.008867637 0.011562704 0.009519669 0.008259074 0.007998262 0.010910671 0.008954575 0.012040861 0.008563356 0.0114322975 0.008954575 0.010128233 0.008693762 6.5547676 0.0 0.0 0.0 14.0 966674.0 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: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.0011160715 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.00055803574 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.002232143 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.00027901787 0.0013950893 0.0025111607 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.0013950893 0.0013950893 0.002232143 0.0027901786 0.0016741072 0.0 0.0016741072 0.0011160715 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.003627232 0.00027901787 0.0013950893 0.001953125 0.0078125 0.00027901787 0.00027901787 0.001953125 0.0013950893 0.003627232 0.00027901787 0.0055803573 0.0008370536 0.0025111607 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.0066964286 0.00055803574 0.00027901787 0.0011160715 0.00027901787 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.0 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.020019531 0.024169922 0.0061035156 0.024902344 0.034423828 0.034423828 0.03466797 0.028076172 0.0014648438 0.00390625 0.008544922 0.014404297 0.0014648438 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.03065134 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0038314175 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.011494253 0.0 0.011494253 0.011494253 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.049808428 0.0038314175 0.01532567 0.026819924 0.107279696 0.0 0.0038314175 0.0038314175 0.01532567 0.0038314175 0.0038314175 0.053639848 0.011494253 0.03448276 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.022988506 0.0 0.0 0.01532567 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 5.2723413 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1294145400.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9224098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1530524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.31962535 0.014126434 0.0069320663 0.006287904 0.009441616 0.003182992 0.0035660737 0.002863351 0.0077189696 0.0020544878 0.0035392335 0.0014591255 0.0047482583 0.0019056472 0.0012419648 0.004797058 0.0061829835 0.002886531 0.0015298858 0.001327365 0.002897511 0.0037295544 0.0011504644 0.00079910306 0.0022557885 0.0009223235 0.00089670345 0.0015006057 0.0017738867 0.0010065038 0.0007564029 0.0010638441 0.008949954 0.0007551829 0.0019983677 0.0008357032 0.004233416 0.0013871453 0.0009991839 0.0009711237 0.0017372867 0.0008649833 0.0011333843 0.0018800272 0.0013737252 0.0013517651 0.002354609 0.0013005249 0.0050483793 0.0018641672 0.0015933261 0.006080503 0.0016165061 0.0017238666 0.0010589641 0.0010052838 0.0017970669 0.0022179685 0.0010809242 0.0034928734 0.0015091457 0.001561606 0.0009406236 0.0011468044 0.0075298687 0.0055241813 0.0033196327 0.005502221 0.004969079 0.007632349 0.0028230909 0.0022753086 0.0020130076 0.0031878722 0.0010260239 0.00095404364 0.002108168 0.0043944567 0.0025546898 0.0012126847 0.008276512 0.0024448894 0.0015420859 0.004643338 0.0018434271 0.0031097918 0.0048007183 0.003949155 0.002092308 0.0032488725 0.0009394036 0.0014127654 0.0013639652 0.002108168 0.0025498096 0.0027413506 0.0012724649 0.005008119 0.0012688049 0.0029877913 0.003145172 0.009331816 0.0038222745 0.0019324874 0.0041833958 0.0053692404 0.004453017 0.0010772641 0.0043688365 0.0022899488 0.005516861 0.0052606603 0.0035892536 0.0007002827 0.0061354036 0.004909299 0.0125233475 0.0104432395 0.0020300879 0.00263399 0.0018897873 0.0017446066 0.00083082315 0.0007564029 0.0014322855 0.002407069 0.001311505 0.0011346043 0.004529877 0.0016653064 0.0010357839 0.007625029 0.0020715678 0.006002423 0.0010272439 0.0006234224 0.0033513529 0.006235444 0.0012590449 0.017410686 0.0009699037 0.007439588 0.00072712277 0.0012468448 0.0014457055 0.00055510213 0.0005697422 0.0006356224 0.0008625433 0.00069662265 0.0005782822 0.0005636421 0.0008918234 0.0026754702 0.00077104295 0.00048434184 0.0009808837 0.00067100255 0.0005868222 0.000785683 0.0011407044 0.0012114646 0.0006722226 0.0010126039 0.0010943442 0.0011980446 0.000514842 0.0005636421 0.0011004442 0.00076860294 0.0011675445 0.00078934303 0.001316385 0.0009174435 0.00064538245 0.0005990223 0.001041884 0.0006307424 0.00061488233 0.0005782822 0.0009137835 0.0007466429 0.0012322047 0.0011699845 0.0020520478 0.0007417628 0.00064782245 0.00092598354 0.001309065 0.0008344832 0.0009918638 0.00077348296 0.0061890837 0.0018580671 0.0022240684 0.0034343132 0.0024680693 0.00072468276 0.0022179685 0.0027413506 0.0017543667 0.0021764883 0.0009406236 0.0007344428 0.006501405 0.0007722629 0.0015555059 0.0010174839 0.0014786456 0.0012590449 0.0013712853 0.001044324 0.0012151246 0.0006441625 0.0011516844 0.0009113435 0.001581126 0.0008052031 0.0006100023 0.0011455844 0.0011492444 0.0006771026 0.00064050243 0.0006039023 0.0022887287 0.0006307424 0.00056730217 0.0005636421 0.002086208 0.0005538821 0.0010650641 0.0007307828 0.011605904 0.0020178878 0.00067588256 0.0035941338 0.003644154 0.0005526621 0.00066490256 0.0008369232 0.0035611936 0.0014469256 0.0009894238 0.0015018258 0.0017592467 0.0007381028 0.0029328912 0.0021862483 0.003652694 0.0012017046 0.0009979638 0.0013944653 0.004516457 0.0014847456 0.0033476928 0.06583145 0.037378877 4.2166965e-05 1.4666771e-05 8.555617e-06 1.2222309e-05 7.3333854e-06 1.2833425e-05 1.4666771e-05 1.7111233e-05 4.2778083e-06 6.1111547e-07 4.2778083e-06 4.8889237e-06 1.2222309e-06 1.2222309e-06 2.2000157e-05 0.013243483 3.1778003e-05 5.377816e-05 5.8667083e-05 4.4611428e-05 4.2166965e-05 8.800063e-05 4.4611428e-05 2.6277965e-05 1.2833425e-05 7.3333854e-06 1.9555695e-05 2.016681e-05 1.5889002e-05 1.4055656e-05 4.4000313e-05 0.019497639 0.00011244525 0.00036055813 8.800063e-05 0.00023161276 7.150051e-05 0.00014300102 8.9222856e-05 7.7611665e-05 5.1944815e-05 5.8055968e-05 5.561151e-05 5.072258e-05 5.8055968e-05 5.072258e-05 0.00027989087 0.012059141 9.533401e-05 0.0001698901 9.411178e-05 0.0010181183 0.00037033597 0.00017539013 0.00020044587 0.00012466755 5.13337e-05 6.172266e-05 4.950035e-05 5.500039e-05 5.7444853e-05 7.211162e-05 0.0003642248 0.01133497 0.00012894536 0.0002841687 0.00013138982 0.0010333962 0.00041555852 0.00057200406 0.00032144674 7.944501e-05 3.0555773e-05 5.500039e-05 4.5222543e-05 4.2166965e-05 3.5444697e-05 7.700055e-05 0.00043205862 0.01169675 0.00016561229 0.00045222545 0.00033061346 0.00023772391 0.0001582789 0.0006160044 0.0003795027 0.00025483515 8.1278355e-05 0.000105722975 7.455608e-05 9.47229e-05 9.594513e-05 8.31117e-05 0.00019189026 0.013693264 0.00038500273 0.00031839116 0.00019433472 0.00041311406 0.00026583523 0.00051517034 0.0004033362 0.00025544627 0.0001460566 0.0001698901 0.0001228342 0.00016683452 0.00014116766 0.0002841687 0.0012986204 0.03756527 0.00066611584 0.0024811288 0.0008952841 0.0033146902 0.0011886195 0.0069801607 0.0036624148 0.00052372593 0.00029822433 0.00025666849 0.00034955805 0.00045405878 0.00024872398 0.00036544705 0.0033281348 0.028026367 0.0004943924 0.0023112386 0.0010914522 0.0020142365 0.0010016182 0.005663818 0.0035414142 0.000984507 0.0008824507 0.00057200406 0.0003837805 0.0007119495 0.00019433472 0.00028600203 0.003154578 0.038724553 0.0012576756 0.0036715816 0.0020631258 0.0034980248 0.0024114617 0.011442526 0.006650158 0.0017807904 0.0009441734 0.00079506123 0.00069789385 0.0016628451 0.000730283 0.00088795077 0.0053851493 0.028721204 0.0021022372 0.002418184 0.0021187372 0.0046756444 0.0023002385 0.008257392 0.00527026 0.0013585096 0.0013542318 0.0009857293 0.0006942272 0.002264794 0.00086778397 0.0008164502 0.0046304218 0.023539556 0.0019494583 0.0023142942 0.004483143 0.0032731344 0.002471962 0.004280864 0.0026656857 0.0017325124 0.0015485666 0.0013939544 0.00088061736 0.0018639021 0.0009716736 0.0014593437 0.007749555 0.019437138 0.0017905682 0.00186268 0.0023815169 0.0039526946 0.0033006347 0.0035609698 0.002731075 0.002974299 0.0017392345 0.0023955726 0.0020496813 0.0023619612 0.0013566763 0.0014843994 0.010450685 0.051721755 0.010560686 0.0063702674 0.008009279 0.015785724 0.015483832 0.008504283 0.012465533 0.025647905 0.0030299104 0.0036899152 0.0050056465 0.0132049825 0.005093647 0.012112308 0.03235062 0.04664583 0.010799021 0.008940619 0.011630749 0.017435124 0.017505402 0.010356573 0.015994113 0.02735475 0.0035181916 0.0040871403 0.004679922 0.014324546 0.006331156 0.014056266 0.027892532 0.00025544627 5.8667083e-05 5.072258e-05 8.738951e-05 9.777847e-05 8.188947e-05 7.394497e-05 4.5222543e-05 5.8667083e-05 4.5833658e-05 6.6000466e-05 7.027828e-05 5.255593e-05 7.455608e-05 3.9722505e-05 9.2889546e-05 3890.0 14.956812 58182.0 0.027156165 0.0010828091 0.011996837 0.0009281221 0.0029734282 0.0020109313 0.0014609329 0.0030765529 0.0022171806 0.0011687464 0.0014437455 0.0014609329 0.0024921796 0.0052249837 0.011635901 0.0044515487 0.018012444 0.006857791 0.005689045 0.007631226 0.004056237 0.0029734282 0.003196865 0.0024921796 0.0032999897 0.0047952975 0.0037640508 0.0035921764 0.0026468667 0.0030249904 0.0021484308 0.0034546766 0.006634354 0.02328899 0.0029906156 0.013578082 0.02994053 0.008439036 0.0061702933 0.017324945 0.0034031144 0.024887422 0.0012031213 0.0031624902 0.0063249804 0.0065656044 0.013887457 0.0036093637 0.021638995 0.005121859 0.00713279 0.019937437 0.007046853 0.0040906123 0.01271871 0.013818706 0.012374962 0.0024921796 0.0020968684 0.0015468702 0.0037468632 0.0014437455 0.0014093706 0.009590595 0.0021828057 0.033120207 0.007012478 0.022446806 0.019078065 0.06747791 0.008043725 0.0133374585 0.010381217 0.038396753 0.0033859268 0.0031624902 0.02799835 0.015314015 0.03667801 0.036368635 0.0157437 0.0007734351 0.041370183 0.032553025 0.048984222 0.0147640165 0.006135918 0.0153999515 0.0065312297 0.009710907 0.001770307 0.0019078065 0.0009281221 0.00082499743 0.0010484342 0.0011343715 5.8286533 0.0 60.0 0.0 23.0 819669.0 24576.0 1.0 0.0 71.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 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 -1.0 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 12288.0 4096.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.2925578 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.168624 0.0 3.4910312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10062.0 0.0 3128.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 12428.0 3128.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 592.0 312.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.004898471 0.0035755597 0.0035645606 0.0037679467 0.003601358 0.0037033511 0.0037147503 0.00386694 0.0037037511 0.0037441484 0.003659754 0.003810344 0.0037311492 0.0037963449 0.003825343 0.0039999313 0.0036645536 0.0038459415 0.0037447484 0.003882539 0.003690752 0.0038607405 0.0037989446 0.0038707398 0.003707551 0.0038611405 0.0037473482 0.0039401352 0.0038763394 0.003929136 0.003912537 0.003973333 0.003647355 0.003750348 0.0037891453 0.0038973382 0.0038285428 0.0038127438 0.003855941 0.0039217365 0.0037625472 0.0038217432 0.0038317426 0.0039357357 0.0038433417 0.0038759396 0.0038423417 0.0039969315 0.0037151503 0.0038469415 0.0038125438 0.004033129 0.0037917453 0.0038735396 0.003810144 0.003964734 0.003852141 0.003989332 0.003974333 0.0040443284 0.003944135 0.003955734 0.003955934 0.004063527 0.0036857524 0.0037129505 0.0038131438 0.0037965449 0.0038291428 0.00386974 0.0038495413 0.0039363354 0.0038045442 0.003916137 0.0038161436 0.0039617335 0.0038155436 0.0038865388 0.0039163367 0.0039521344 0.0037539478 0.0038811392 0.0038263428 0.0038937384 0.003840342 0.003914937 0.003926936 0.0039677336 0.0037475482 0.0039215363 0.0038501413 0.0038917384 0.0038311426 0.003970133 0.0039757327 0.00401293 0.00372015 0.003839542 0.0037761463 0.003911937 0.0038419417 0.0039343354 0.0038457415 0.004006331 0.003883939 0.003911937 0.003933136 0.0038759396 0.0038549409 0.0039833323 0.003912137 0.0041037244 0.0039047375 0.0039673336 0.003928936 0.0040399283 0.0040101307 0.0040375288 0.0039089373 0.004136922 0.003972933 0.0039919317 0.0039185365 0.0040543275 0.004005531 0.0040867254 0.0040891254 0.0041927183 0.0036121572 0.0037713465 0.0037697467 0.0038431417 0.0037785461 0.0039019377 0.0038443417 0.00386954 0.003793145 0.0039507346 0.0038609405 0.003987332 0.003851541 0.0039657336 0.0039973315 0.003957134 0.0036527545 0.0038747396 0.0038589407 0.0039241365 0.0038355424 0.0039047375 0.0037965449 0.0038707398 0.0037957449 0.003911137 0.0038909386 0.0039237365 0.0039699334 0.0039695334 0.0039911317 0.0040301294 0.0036655536 0.0037893453 0.0038507413 0.0038911386 0.0038421417 0.0038543409 0.0038293428 0.0039031378 0.0038767394 0.0038433417 0.0038893386 0.003962734 0.0038939384 0.0039101373 0.0039205365 0.004074126 0.0037269494 0.0037907453 0.0039113373 0.0039361357 0.0038799392 0.003883339 0.00386754 0.003938535 0.0039359354 0.0039057375 0.0039167367 0.0039991313 0.004032729 0.0040077306 0.0040113307 0.00416792 0.003777946 0.0038129438 0.0038121438 0.0038621405 0.0039027377 0.0037835457 0.0038867388 0.0039509344 0.003899338 0.0038963382 0.0039391355 0.003929136 0.0039217365 0.0039159367 0.003991732 0.004109724 0.0038143436 0.003883539 0.0038967382 0.0039071376 0.0038323426 0.0038787394 0.003898938 0.0040097306 0.0039073373 0.003928136 0.003924536 0.0039213365 0.0039911317 0.003988532 0.0040561273 0.0041569206 0.003840742 0.0039491346 0.0039789327 0.0040101307 0.0039409352 0.003942735 0.0039475346 0.0041265227 0.0040077306 0.0039371355 0.0039363354 0.004039129 0.00401613 0.0039401352 0.0040435283 0.004125123 0.0039587338 0.00402213 0.0039865323 0.0040755263 0.00402373 0.003947335 0.004081126 0.0041141235 0.0040655266 0.004034529 0.004047328 0.00416672 0.004137122 0.004155921 0.0041785194 0.0043111104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00037336213 5.700949e-06 1.1801963e-05 7.4012314e-06 2.440406e-05 1.280213e-05 5.8209687e-05 5.5009154e-05 2.290381e-05 6.101015e-06 1.700283e-06 3.2005325e-06 4.9008154e-06 2.7004494e-06 2.7004494e-06 2.1603595e-05 9.301548e-05 1.700283e-06 8.301381e-06 4.6007654e-06 5.120852e-05 2.2103679e-05 0.0001478246 7.141188e-05 8.0013314e-07 7.001165e-07 9.0014976e-07 1.2001997e-06 1.6002663e-06 1.2001997e-06 1.400233e-06 1.700283e-06 0.00022863805 5.4008988e-06 1.2602097e-05 1.8103012e-05 3.550591e-05 1.9703279e-05 0.00013202197 0.00010391729 1.8403061e-05 3.8006324e-06 2.9004827e-06 4.700782e-06 5.5009154e-06 3.8006324e-06 2.800466e-06 1.670278e-05 0.00019193193 1.0001664e-05 8.701448e-06 1.2001997e-05 2.410401e-05 1.5102513e-05 1.070178e-05 2.9104844e-05 3.580596e-05 5.1008487e-06 2.3003827e-06 5.000832e-06 1.280213e-05 9.001498e-06 1.3302213e-05 2.4704112e-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 0.00044497405 7.381228e-05 3.2605425e-05 6.19103e-05 0.00013072175 0.00010471742 5.8009653e-05 0.00010751789 0.00017282876 2.1503578e-05 2.140356e-05 1.8303046e-05 8.4214014e-05 3.6806123e-05 0.00011171859 0.00015762623 0.00089894957 0.00023623931 0.00015262539 0.00019613263 0.00030475072 0.00025264203 0.00018173024 0.0003256542 0.00035645932 7.8113e-05 7.2612085e-05 0.000100216675 0.00019303212 0.00011351889 0.00024244034 0.00039156515 0.05865836 0.060980245 0.061191082 0.06233327 0.06099625 0.06178518 0.061748475 0.063557975 0.061153375 0.06209003 0.0619029 0.062782444 0.062095333 0.062833056 0.06341215 0.06469616 24177.0 5.780866 139764.0 0.009773619 0.009859477 0.010324547 0.009895252 0.00964483 0.009315704 0.009709224 0.009845167 0.010181448 0.010610743 0.010059815 0.010617899 0.0100526605 0.010260153 0.00999542 0.010131365 0.009787928 0.010782462 0.01008128 0.010281618 0.010310237 0.010431871 0.009888097 0.010346012 0.009816548 0.010603589 0.010539195 0.010074125 0.0100526605 0.010396096 0.009787928 0.009859477 0.00916545 0.009859477 0.009609056 0.010446181 0.010274462 0.010252998 0.010238688 0.01096849 0.010238688 0.01141925 0.0110042645 0.010696603 0.010038351 0.010596434 0.010088434 0.010539195 0.0102959275 0.010231533 0.0109112505 0.0108182365 0.01000973 0.010718067 0.010360322 0.010324547 0.0104748 0.010324547 0.010188604 0.010424716 0.010567814 0.009973956 0.010346012 0.010131365 0.009322858 0.011526573 0.010088434 0.010646518 0.010682293 0.013773218 0.010653674 0.010653674 0.011104433 0.011905784 0.010553504 0.010024041 0.011576658 0.011254687 0.0111545175 0.011111588 0.010696603 0.010145674 0.011619587 0.011512264 0.011927249 0.010861166 0.010796771 0.010617899 0.010260153 0.010281618 0.009816548 0.010303082 0.009952491 0.009859477 0.010596434 0.0098666325 6.582339 0.0 1.0 0.0 79.0 5000336.0 229376.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 4.538731 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 2528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29872.0 2528.0 225280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0