Input: 0.28004837 0.012950897 0.007984161 0.0066108704 0.013950348 0.0048179626 0.0046539307 0.0031700134 0.0134391785 0.0041542053 0.0037231445 0.0024681091 0.00976944 0.004501343 0.0023994446 0.0046195984 0.0064430237 0.002281189 0.0016937256 0.001247406 0.0041503906 0.0035247803 0.0010070801 0.001209259 0.0039367676 0.002117157 0.001159668 0.0018005371 0.0050621033 0.0009384155 0.001537323 0.00076293945 0.005054474 0.0007324219 0.00064468384 0.0005645752 0.03238678 0.0036010742 0.00064849854 0.00059890747 0.0031471252 0.0007209778 0.00065231323 0.001033783 0.0023231506 0.00065231323 0.0009498596 0.00045013428 0.002670288 0.0006904602 0.0006904602 0.003200531 0.0019721985 0.00051116943 0.00051116943 0.00049209595 0.0023918152 0.0009460449 0.0007095337 0.0038223267 0.0022773743 0.0008239746 0.00061416626 0.0010375977 0.0050086975 0.003791809 0.012016296 0.008674622 0.012187958 0.0042419434 0.003276825 0.0012016296 0.0023651123 0.0017738342 0.0006637573 0.0006752014 0.008987427 0.007698059 0.0029563904 0.000705719 0.010494232 0.004764557 0.00409317 0.002571106 0.003276825 0.0039634705 0.0045928955 0.0029716492 0.0020713806 0.0010032654 0.0008506775 0.001461029 0.0021400452 0.0022468567 0.0029449463 0.0021324158 0.0012779236 0.0018844604 0.0007972717 0.0009880066 0.0059013367 0.0026626587 0.0007095337 0.0008201599 0.004501343 0.0015144348 0.0037498474 0.0004348755 0.002445221 0.00076675415 0.0017166138 0.0017166138 0.001373291 0.0004386902 0.0018310547 0.0015907288 0.0087509155 0.0030288696 0.0013656616 0.0013275146 0.0016708374 0.0006828308 0.0005607605 0.00044631958 0.0019798279 0.00064468384 0.0013389587 0.0004386902 0.0026130676 0.0015029907 0.00048065186 0.012554169 0.0032730103 0.003967285 0.0013465881 0.00046157837 0.0020179749 0.016746521 0.0008773804 0.038219452 0.0009613037 0.012031555 0.0012664795 0.0005912781 0.017986298 0.00037002563 0.00035858154 0.0014953613 0.00089263916 0.00044250488 0.0006637573 0.00035476685 0.0008659363 0.00038146973 0.00035476685 0.0002822876 0.0008163452 0.00038909912 0.0005264282 0.00045394897 0.0017318726 0.0018234253 0.0010070801 0.00037002563 0.0005187988 0.0002937317 0.0002861023 0.00023651123 0.0014648438 0.00032043457 0.00047302246 0.00045013428 0.0005264282 0.00032806396 0.00093078613 0.0002670288 0.0021514893 0.0005607605 0.0006904602 0.0013542175 0.0016098022 0.00088500977 0.00031661987 0.00024414062 0.0027198792 0.00046157837 0.00033950806 0.00046920776 0.00046157837 0.00045776367 0.00060653687 0.0007972717 0.0046424866 0.004886627 0.0021018982 0.004333496 0.0063095093 0.0005569458 0.0052757263 0.00459671 0.0015945435 0.0024528503 0.00088119507 0.0011024475 0.013954163 0.0008583069 0.0018501282 0.0010986328 0.0010070801 0.0011444092 0.0018119812 0.0005722046 0.0034637451 0.0007324219 0.0004081726 0.00077056885 0.0008621216 0.0004348755 0.0002937317 0.00093078613 0.00088500977 0.00024032593 0.00024795532 0.00034713745 0.0017356873 0.00064086914 0.0002861023 0.0002708435 0.00090026855 0.00092315674 0.0004119873 0.00045394897 0.013465881 0.0063972473 0.00030136108 0.002948761 0.0036735535 0.00046920776 0.0007247925 0.00063323975 0.0027122498 0.0011482239 0.00092697144 0.00077056885 0.0008392334 0.00030517578 0.0006637573 0.0010490417 0.0020637512 0.0007362366 0.000415802 0.0006637573 0.0022888184 0.0042381287 0.002998352 0.039779663 0.03137255 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037090227 1.9148285e-06 1.9148285e-06 9.5741425e-06 2.6807598e-05 3.829657e-06 3.829657e-06 1.7233457e-05 3.2552085e-05 3.829657e-06 0.0 3.829657e-06 3.638174e-05 0.0 2.489277e-05 4.5955883e-05 0.00351754 0.0 6.318934e-05 2.6807598e-05 6.7019e-05 2.8722427e-05 0.00012829351 8.808211e-05 0.0 0.0 0.0 1.9148285e-06 0.0 0.0 0.0 0.0 0.0069604013 1.7233457e-05 0.00010914522 1.1488971e-05 8.808211e-05 4.2126227e-05 0.00018382353 9.191177e-05 8.999694e-05 5.7444854e-06 3.829657e-06 5.7444854e-06 7.659314e-06 5.7444854e-06 8.425245e-05 0.00013595283 0.006539139 0.00027190565 0.00021829044 0.00019722733 0.00014361214 0.000116804535 0.00012829351 4.02114e-05 1.5318628e-05 4.787071e-05 5.7444854e-06 3.0637257e-05 7.659314e-06 3.829657e-06 6.893383e-05 7.659314e-06 0.02472235 0.0012465533 0.00085784314 0.00074295345 0.0009363511 0.0006433824 0.0007065717 0.00041551777 0.00014935662 0.00011106005 0.00023935355 0.00025275737 0.00012637868 0.000116804535 5.3615197e-05 5.170037e-05 0.06438611 0.0046128216 0.0022863052 0.0018210019 0.0020737592 0.0017156863 0.0020526962 0.0013691023 0.00091911765 0.00062231923 0.0010091146 0.0010435815 0.0006452972 0.00062040443 0.00053998164 0.00055721507 0.020511642 0.0036286 0.00078125 0.00049594056 0.0011488971 0.00031403187 0.0006050858 0.0002623315 0.0003772212 0.00033509498 0.00020680147 0.00022977941 0.0003293505 0.00022020527 0.00039253983 0.0015337776 0.057958025 0.0040881587 0.0024471506 0.0013556986 0.007119332 0.0016161152 0.003092448 0.0026501226 0.0015548407 0.0023226868 0.0006242341 0.0006395527 0.000524663 0.0005112592 0.000580193 0.0070331646 0.008254825 0.0003025429 0.00029679842 0.00032743567 0.0015912225 0.00066444546 0.001072304 0.00068933825 0.0006242341 0.00040594363 7.276348e-05 0.00015127145 0.00027382048 7.467831e-05 0.00021446079 0.00067018997 0.009560739 0.00049402576 0.00087507657 0.0013135723 0.005018765 0.002154182 0.005445772 0.0032169118 0.000702742 0.00011297488 0.00014552697 0.0002948836 0.00059551164 0.00033318016 0.0004231771 0.0006855086 0.0046587777 0.0003370098 0.00022786458 0.00023169424 0.0018841912 0.00081380206 0.001160386 0.00068933825 0.0004710478 0.0001608456 0.00015893076 0.0002221201 7.0848655e-05 0.00040785846 0.00014361214 0.00012637868 0.010857077 0.0012178309 0.0010244332 0.0012599571 0.0069489125 0.002803309 0.00089996937 0.0015873928 0.0095913755 0.00047487745 0.0005533854 0.0012810202 0.008461627 0.0012637868 0.005158548 0.009361596 0.059824985 0.00909352 0.019077435 0.007153799 0.023339843 0.01757621 0.0075042127 0.006772748 0.041266467 0.008999693 0.004283471 0.004620481 0.023713235 0.0046223956 0.0152248 0.021436505 0.06451057 0.013624004 0.026072305 0.008463542 0.026099112 0.023268996 0.008961397 0.009646906 0.043489583 0.013087852 0.003762638 0.0053730085 0.021917127 0.00602405 0.0113932295 0.020188035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 737.0 12.191317 8985.0 0.021035058 0.00066777965 0.00033388982 0.00044518642 0.035169728 0.0026711186 0.000111296606 0.00022259321 0.010573178 0.00089037284 0.00033388982 0.00022259321 0.003338898 0.0021146354 0.008235949 0.00022259321 0.012020034 0.0041179745 0.0027824151 0.003672788 0.0041179745 0.00055648305 0.0013355593 0.00089037284 0.0026711186 0.005676127 0.0035614914 0.00089037284 0.001669449 0.0011129661 0.000111296606 0.01869783 0.050639957 0.027267668 0.010684474 0.014134669 0.03016138 0.014134669 0.0051196436 0.0034501948 0.0038953812 0.0065665 0.0022259322 0.002003339 0.022259321 0.0072342795 0.012242626 0.0022259322 0.025153033 0.017807458 0.016583195 0.012687813 0.013578186 0.00589872 0.016249305 0.0071229828 0.010684474 0.0014468558 0.009682804 0.007345576 0.004229271 0.0074568726 0.010350584 0.019254312 0.00089037284 0.033055093 0.008013356 0.015247635 0.023706177 0.056983862 0.00589872 0.013355592 0.011908737 0.027156372 0.0015581525 0.002003339 0.026933778 0.010907067 0.024485253 0.032943796 0.013021703 0.0 0.03372287 0.027712855 0.045075126 0.013689483 0.0021146354 0.003672788 0.0063439063 0.006455203 0.0011129661 0.000111296606 0.0013355593 0.000111296606 0.000111296606 0.000111296606 5.7592363 0.0 0.0 0.0 1.0 262144.0 262144.0 0.0 0.0 181.0 0.0 1.0 0.0 0.0 0.0 1516716500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 172032.0 4096.0 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 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -172032.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6326823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.52082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.381437 0.0 3.4801128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43538.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -168062.0 0.0 4656.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -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 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -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 -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 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 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 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 1.0 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 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 -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 -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 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 1.0 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 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 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 2.0 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 -1.0 -3.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -2.0 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 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 213056.0 4656.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1328.0 176128.0 0.0 0.0 0.0 0.0


Input: 0.15511772 0.011698968 0.006508056 0.006037799 0.01053822 0.004050379 0.004224864 0.0034641542 0.012378818 0.006978313 0.007010231 0.0065601887 0.011791529 0.0048642852 0.0014065147 0.009407263 0.029110173 0.0014352407 0.0010373312 0.0010894637 0.003963137 0.0019789087 0.0011884092 0.00083092885 0.0029970892 0.0017597392 0.0009277464 0.0009617922 0.0022182928 0.0007500702 0.0007894356 0.0013884278 0.0049057784 0.0010724409 0.0018969862 0.0010969111 0.0042429506 0.0010745687 0.00071496057 0.0006755952 0.0017522917 0.0006117594 0.0006255905 0.0023395808 0.001853365 0.0013724689 0.0011011669 0.0007309195 0.0047057597 0.0023927772 0.0023555397 0.0072411033 0.0028268604 0.0023725627 0.002199142 0.002122539 0.0034035102 0.002680038 0.0026098187 0.0046961843 0.0032662633 0.0027523853 0.002243827 0.004056763 0.006748504 0.002834308 0.0023917132 0.0020810459 0.0024927866 0.01978164 0.0034109575 0.0021055161 0.0025991795 0.0013554461 0.0017310131 0.0008511435 0.0020853016 0.010980816 0.0016278119 0.00092136284 0.0107946275 0.002669399 0.0015873826 0.0029470844 0.0024970423 0.004713207 0.0051026056 0.0040791053 0.0015278026 0.0035982092 0.00058728905 0.0016171726 0.0014969487 0.0045302114 0.0030268792 0.0031524228 0.0014820537 0.0031907242 0.0011235095 0.0019108172 0.0053558205 0.0051749526 0.0041876263 0.0018129357 0.0055569033 0.003466282 0.00617611 0.0007490063 0.0027938785 0.001295866 0.0028438834 0.003269455 0.0027662164 0.00061388727 0.004547234 0.0032311536 0.010365864 0.010764837 0.0018629404 0.0013160807 0.0019969954 0.0012830988 0.00061388727 0.0006192069 0.0013394871 0.0027460018 0.0013118249 0.0016905838 0.0034577705 0.0013458707 0.0011064865 0.014058763 0.0035609717 0.00862102 0.0008075224 0.00067027553 0.0020863656 0.0121756075 0.0013745967 0.038994078 0.0011139341 0.015426977 0.0005255811 0.00055537117 0.001611853 0.000376631 0.00041812425 0.0012011763 0.0011607469 0.0007458145 0.00046919286 0.00038195064 0.0012575645 0.00058516115 0.00044897821 0.00045004213 0.0012671399 0.0007787963 0.00038195064 0.0006234626 0.001461839 0.002820477 0.00045429784 0.0016129169 0.0010235001 0.0006160151 0.0005064304 0.00050111074 0.0015565287 0.00044046677 0.00044472248 0.0005138779 0.0010139247 0.0004159964 0.00037343922 0.00039258995 0.0016820724 0.00042876354 0.00046174537 0.00045004213 0.0012330941 0.00074049487 0.001069249 0.0013331035 0.0034226608 0.0008926368 0.0006511248 0.00055324327 0.0014788619 0.0009160432 0.0007096409 0.00076496525 0.0079486165 0.003751415 0.0031066737 0.0041589 0.0039524976 0.0015129076 0.0053568846 0.008502924 0.0054483823 0.0022534025 0.0010362673 0.0012458613 0.020514686 0.000753262 0.0017799538 0.0012596924 0.002638545 0.0013128888 0.001205432 0.0007064491 0.0016693053 0.0004553618 0.0012245828 0.000662828 0.002923678 0.00097562326 0.0005234533 0.0010490344 0.0014118343 0.000784116 0.0005457958 0.0005755858 0.004235503 0.0007341113 0.00062027085 0.00057664973 0.0020438083 0.0021448818 0.0006319741 0.000467065 0.017646333 0.0063303798 0.00065431657 0.0038705752 0.0069687376 0.00042237996 0.0006309101 0.00071070483 0.006720842 0.001371405 0.000903276 0.00084582384 0.0038673833 0.0005564351 0.0036588532 0.0027364264 0.0045419144 0.0027449378 0.0016905838 0.0012160713 0.010265855 0.002337453 0.0041046394 0.055686064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026183815 0.000137529 8.2090955e-05 3.731407e-05 7.356202e-05 4.5309942e-05 2.5053732e-05 2.7719023e-05 7.24959e-05 1.0661162e-05 2.3987615e-05 1.439257e-05 1.6524802e-05 1.5458685e-05 1.705786e-05 5.757028e-05 0.011317357 0.0011130254 0.00040085972 9.0619884e-05 0.00025000426 0.00016631414 0.00067378546 0.0003768721 0.00012580171 0.00023401252 0.0001311323 5.6504163e-05 6.130168e-05 5.0107465e-05 7.729343e-05 0.0012505543 0.035645597 0.0048012547 0.0015549306 0.00048774818 0.00080491777 0.0006849797 0.0019792449 0.0012825378 0.0005762358 0.0010165418 0.00045096717 0.000495211 0.00037953738 0.00046376057 0.00053039286 0.005614701 0.023100074 0.0040107295 0.0011290171 0.00079212437 0.0015927777 0.00074414915 0.002677018 0.00085236 0.00054158707 0.00075534335 0.00046162834 0.00030011171 0.00050693826 0.0004850829 0.0003438225 0.002100249 0.010613721 0.0014803024 0.0011428767 0.0006860458 0.002162617 0.000999484 0.005596577 0.0029190264 0.00032409935 0.00021162408 0.00017964058 0.00014445875 0.0001732439 0.000106611624 9.914881e-05 0.0004530994 0.010062538 0.0015703893 0.0012857362 0.0010917031 0.003246857 0.0017281745 0.006814082 0.0035869482 0.00037580598 0.0001631158 0.0002089588 0.00020789268 0.0002366778 0.0002622646 0.00019296704 0.0006252772 0.012914932 0.002851861 0.0024270136 0.024308518 0.0030378983 0.0026903444 0.005721846 0.00390625 0.001953658 0.001724443 0.001706319 0.0018577076 0.0018950216 0.001842249 0.0017958728 0.0025101707 0.0075155864 0.0018187944 0.00088807486 0.0016013066 0.0015469347 0.0013827528 0.0019925714 0.0015943769 0.0041317334 0.00061301683 0.00062207883 0.0007814632 0.0021338316 0.0007377525 0.0016375546 0.0059366683 0.104204334 0.021291409 0.009841319 0.012475693 0.034998465 0.028200908 0.01572255 0.017408613 0.06469887 0.0037665889 0.006365247 0.007103 0.051116012 0.008146195 0.02832351 0.057953015 0.04214251 0.0126590645 0.0064675943 0.009178728 0.015451756 0.01663088 0.008000136 0.014220391 0.03249949 0.0029360843 0.0033635967 0.005124821 0.015595148 0.005978247 0.015113264 0.026079336 0.0018310547 0.00068284746 0.0007649384 0.0011386122 0.0008646203 0.0006849797 0.0010469261 0.000834236 0.00071269873 0.00070843427 0.0006060871 0.0006860458 0.00055118214 0.0005725044 0.0005911615 0.00082410785 3436.0 17.869034 61398.0 0.02791622 0.00087950745 0.0010749536 0.0014332714 0.0132089 0.0014332714 0.0016124303 0.0018893124 0.0044952603 0.0013029741 0.0007980716 0.0017264406 0.004983876 0.0024430763 0.009055669 0.0032085737 0.019137431 0.013892961 0.013876674 0.011580181 0.014528161 0.011563894 0.012117659 0.010733249 0.0146910325 0.010326069 0.014528161 0.010244633 0.0146910325 0.009316265 0.01014691 0.019740056 0.043177303 0.010847259 0.0026222353 0.010212059 0.0069220494 0.003990358 0.003811199 0.0032900095 0.004544122 0.0040555065 0.0011238151 0.0013355484 0.009853741 0.0024593635 0.006563732 0.0017264406 0.009821167 0.0023616403 0.0039252094 0.008615916 0.008843936 0.0044952603 0.013062315 0.012231668 0.004560409 0.0014821329 0.0016124303 0.0012215382 0.007801557 0.00096094335 0.0013355484 0.0121990945 0.0043161013 0.03447995 0.008827649 0.019609759 0.022378579 0.049252417 0.008111013 0.018730251 0.010961269 0.039919868 0.0031271377 0.003045702 0.02594547 0.010212059 0.029496076 0.038796052 0.015505391 0.0010098049 0.03311183 0.026662106 0.048226327 0.01216652 0.009625721 0.0037786248 0.0077526956 0.0069709113 0.0013192613 0.0007654973 0.003990358 0.0005211896 0.0007166357 0.0010260921 5.9211073 21.0 39.0 0.0 4.0 939912.0 937984.0 1.0 5.0 171.0 1.0 1.0 1.0 1.0 0.0 1540466200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 12.0 6.0 0.0 6.0 0.0 658944.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -44032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 179200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -658944.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5892286 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0802484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.943165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.578674 0.0 4.7916765 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -43880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 178844.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -658632.0 0.0 17304.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 2.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 192.0 838336.0 200.0 838528.0 17304.0 872448.0 0.0 0.0 16264.0 923648.0 43880.0 892928.0 112.0 740848.0 0.0 0.0 0.0 0.0 24.0 741120.0 64.0 740960.0 0.0 0.0 720.0 663552.0 0.0 0.0 0.0 0.0


Input: 0.24573044 0.011472205 0.005054288 0.00670951 0.013919303 0.0034590997 0.003407642 0.0034362297 0.011395018 0.0024842625 0.0033876307 0.0016066232 0.006875318 0.0023298895 0.0012921595 0.0069324933 0.0068495893 0.0014808377 0.0012006792 0.0009433908 0.0042709876 0.004193801 0.0011006226 0.0006603736 0.0028330314 0.0011149164 0.00084905175 0.0009834134 0.0019525331 0.0008947919 0.0006375035 0.0009548259 0.010771808 0.0006517973 0.0010891876 0.00069753744 0.008976507 0.0012407019 0.0006232097 0.00067466736 0.0019725445 0.0006117747 0.00085476926 0.0020325785 0.0015694593 0.00096911966 0.0020754598 0.0008176054 0.003839315 0.0010405887 0.0006889612 0.0067952727 0.0011406452 0.0009405321 0.00064036227 0.0004859892 0.0018924992 0.0025786017 0.00069181994 0.004882762 0.0013636285 0.0014093687 0.00068610243 0.0009233795 0.0082075 0.004851316 0.006114888 0.009256666 0.0066323234 0.010417322 0.003885055 0.00283589 0.0040337103 0.0028530427 0.001275007 0.00070611376 0.0027787148 0.0060234074 0.0033533257 0.0008804981 0.010637446 0.0026357768 0.0013779224 0.004708378 0.002132635 0.0031960937 0.0066694873 0.004959949 0.0027072458 0.004371044 0.00056317577 0.001549448 0.0012521369 0.0026757994 0.003576309 0.0024356637 0.0012006792 0.005039994 0.0009005094 0.0026129067 0.003959383 0.009668327 0.0040537217 0.001560883 0.0040708743 0.004937079 0.005814718 0.0011091989 0.0042967163 0.0018610528 0.005088593 0.0047140955 0.0036163316 0.000643221 0.0057118027 0.0047484003 0.016732322 0.014528219 0.0027015284 0.0016380695 0.0020811774 0.0014150862 0.0007804415 0.0005174356 0.0016666572 0.0035562976 0.0019010755 0.0012349844 0.0046054623 0.0019553918 0.0008633456 0.012858703 0.0022498441 0.0074642226 0.00071754877 0.00044310783 0.0021555051 0.011420746 0.0010577412 0.03057444 0.00088335684 0.00970835 0.0007975941 0.00050028303 0.0011063402 0.00045454287 0.00046026037 0.00057746953 0.0008690631 0.0005288706 0.00028873477 0.00039450888 0.000846193 0.0011778092 0.00025442964 0.00028873477 0.00076900644 0.000428814 0.000428814 0.00088335684 0.0009519671 0.0014808377 0.00051171804 0.0019410981 0.0007204075 0.0012721482 0.0003001698 0.0002572884 0.0012921595 0.00035448626 0.00042595525 0.0005460232 0.00090908573 0.00034590997 0.00030302856 0.00033447493 0.0010977639 0.00024871214 0.00045168409 0.00026872344 0.0007918765 0.00040022642 0.0015808943 0.0012578544 0.0030645907 0.0007575714 0.0005803283 0.0006718086 0.0011063402 0.00067466736 0.0010320124 0.00070611376 0.007635748 0.0028416074 0.0036163316 0.005122898 0.0032704216 0.000857628 0.003716388 0.0046769315 0.0024442398 0.002429946 0.00078330026 0.0008690631 0.00599482 0.0007518539 0.0021669401 0.001132069 0.0018095952 0.0013493347 0.0022269741 0.0010434474 0.0013607698 0.00052029436 0.0008318992 0.0009433908 0.0017095385 0.00068610243 0.00064036227 0.0013178884 0.0011492216 0.0004373903 0.0006232097 0.0006060571 0.0023613358 0.0006546561 0.0005145768 0.00046883666 0.0028444664 0.0004859892 0.00057746953 0.00052029436 0.018619105 0.003084602 0.0004974243 0.0052486835 0.004771271 0.00042023775 0.00052029436 0.0005288706 0.0045797336 0.0020868948 0.0012092555 0.0009462496 0.0018439003 0.00048884796 0.0033761957 0.0019039342 0.0039936877 0.0011806679 0.0007375601 0.0011120577 0.005019983 0.0016666572 0.0040308516 0.05353314 0.01764706 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010812557 3.0158548e-05 0.00052131206 3.0158548e-05 3.0158548e-05 3.0158548e-05 3.0158548e-05 3.159467e-05 3.159467e-05 3.159467e-05 3.159467e-05 3.159467e-05 3.159467e-05 3.0158548e-05 3.0158548e-05 3.0158548e-05 0.007816808 0.000112017464 0.00021398207 2.8722427e-05 0.004505113 0.0015107996 8.473116e-05 0.00010483686 8.329504e-05 3.3030792e-05 3.159467e-05 2.7286305e-05 2.8722427e-05 3.8775277e-05 4.5955883e-05 4.02114e-05 0.005055147 5.6008732e-05 0.00020536534 3.159467e-05 4.02114e-05 1.7233457e-05 6.318934e-05 5.313649e-05 1.7233457e-05 6.893383e-05 3.5903035e-05 4.7392004e-05 4.308364e-05 1.2925092e-05 0.00011632583 1.8669578e-05 0.004777976 0.00011919807 0.000100528494 2.5850184e-05 0.00014648438 2.7286305e-05 1.8669578e-05 3.3030792e-05 0.00022547104 6.7497705e-05 4.7392004e-05 5.0264247e-05 7.036995e-05 4.5955883e-05 4.02114e-05 8.616728e-05 0.014786305 0.00054141774 0.00043227253 0.00029296876 0.00034466913 0.0002685547 0.00046673944 0.00042652804 0.0004236558 0.00015797335 0.0001407399 0.00013786765 0.00016515395 9.191177e-05 0.0006735409 0.0012379366 0.03544491 0.00066492415 0.0023983226 0.0009578929 0.0029928768 0.00058450137 0.004852654 0.002462948 0.0006189683 0.00044663373 0.0002427045 0.0005888097 0.00054859836 0.00026711856 0.00038200826 0.0053696577 0.034981042 0.0007640165 0.002722886 0.00095502066 0.0050479663 0.0016702091 0.00804946 0.004545324 0.00097369024 0.00031451057 0.000343233 0.0005256204 0.00046243105 0.00028866038 0.00045381434 0.0026079963 0.028955078 0.0006318934 0.0036247703 0.0013542625 0.0031968062 0.002225988 0.013881548 0.007424747 0.0012020336 0.00029296876 0.0002900965 0.00050551473 0.0008487477 0.00033892464 0.0008616728 0.002012006 0.023532284 0.0006462546 0.003103458 0.0014476103 0.00423943 0.0016615924 0.010648839 0.0062298942 0.0007553998 0.0003518497 0.00046386718 0.0004437615 0.00078555837 0.00044088924 0.0004839729 0.00064769073 0.012853286 0.00053998164 0.0009363511 0.0011589499 0.003926356 0.0010469324 0.0029828239 0.0017118566 0.0012695312 0.00089326745 0.0003834444 0.0003834444 0.0012838924 0.00045094208 0.0008487477 0.0016831342 0.0023825252 0.00018956802 0.0003245634 0.00011632583 0.00045381434 0.00017089843 0.00038918888 0.00028866038 0.00024414062 0.00017664292 0.00016946232 0.0001752068 0.0001953125 0.00018095129 0.00018095129 0.00024414062 0.050927736 0.009588982 0.007255285 0.0063993568 0.019317267 0.015413891 0.005800494 0.013126149 0.031858914 0.002260455 0.0035199334 0.0047047334 0.015451229 0.0046458524 0.013337259 0.025804227 0.079322726 0.016987879 0.013648897 0.017022345 0.030026425 0.030909639 0.013529699 0.027078068 0.05074391 0.0045625577 0.0061853747 0.0069867303 0.028486902 0.010406135 0.02473001 0.04819623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1242.0 15.433977 19169.0 0.02608378 0.0007303459 0.0019823674 0.00062601076 0.0042255726 0.0004173405 0.00046950806 0.002764881 0.002399708 0.000834681 0.0009911837 0.000834681 0.002399708 0.003338724 0.0094423285 0.0030257185 0.016328447 0.0035473942 0.0026083782 0.003703897 0.00213887 0.0014606918 0.0019301998 0.0010433513 0.002034535 0.0043820753 0.0022432052 0.0020867025 0.0019823674 0.0017736971 0.0013563567 0.0041212374 0.0117377015 0.03443059 0.0020867025 0.01476342 0.05075904 0.006781783 0.005842767 0.029005164 0.0036517293 0.02801398 0.0007303459 0.0012520215 0.005373259 0.0053210915 0.024414418 0.0036517293 0.034743596 0.0035473942 0.005373259 0.02545777 0.007042621 0.0056862645 0.024466587 0.023579739 0.023214566 0.004434243 0.0011476864 0.0032343888 0.002869216 0.0032343888 0.0037560645 0.0063644424 0.0029213836 0.028379153 0.006155772 0.02311023 0.015702436 0.06160989 0.0069382857 0.010590015 0.008816318 0.033648077 0.003808232 0.002869216 0.024362251 0.01283322 0.03083103 0.035839114 0.013772236 0.00062601076 0.03568261 0.025353435 0.050602537 0.014972091 0.0064687775 0.005477594 0.006520945 0.006520945 0.001199854 0.00036517295 0.0010955188 0.0004173405 0.0017215295 0.0015128592 5.6951337 0.0 13.0 0.0 4.0 349802.0 737280.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1161590500.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 561152.0 4096.0 4096.0 5.0 0.0 0.0 1.0 2.0 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 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -561152.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.195825 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 115228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -560139.0 0.0 29940.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8476.0 672000.0 280.0 660332.0 29940.0 704512.0 0.0 0.0 5784.0 729088.0 0.0 0.0 28.0 567280.0 0.0 0.0 0.0 0.0 24.0 622408.0 64.0 622336.0 0.0 0.0 1572.0 565248.0 0.0 0.0 0.0 0.0


Input: 0.39030096 0.01723398 0.012317649 0.059641264 0.023923546 0.03298301 0.008314748 0.00076538365 0.0009503048 0.0041112835 0.0011184658 0.012921017 0.00060727884 0.0005346512 0.00065700087 0.0004072735 0.0016179205 0.0010704198 0.0010536596 0.0019207218 0.0012815986 0.0018955816 0.0033693642 0.0019587118 0.0014938948 0.0019341301 0.0019436275 0.00078437856 0.0006061615 0.00054750073 0.00023073245 0.00028213047 0.004059327 0.00046872767 0.00066873303 0.0035654588 0.012003115 0.00055588083 0.00029553866 0.00039498266 0.00030727082 0.002424646 0.00038380918 0.00037431173 0.000913991 0.002446993 0.0032917084 0.00031956163 0.009323155 0.010536595 0.008553861 0.007658306 0.0065783886 0.006247095 0.0056733363 0.0054772417 0.0050984607 0.0054705376 0.00028659985 0.00029721466 0.00024302327 0.00030336008 0.00041509492 0.0002815718 0.0004676103 0.009914232 0.007241535 0.017393203 0.008665036 0.018685976 0.0036190914 0.0058057425 0.0019106658 0.015003754 0.005185614 0.0028537079 0.011528242 0.00619849 0.011790261 0.011760092 0.0068370546 0.0005368859 0.008716435 0.00778736 0.013427176 0.011503101 0.0036654614 0.0020693291 0.0014659611 0.0012028256 0.0005352099 0.00027654372 0.00034693666 0.0002620182 0.00032067898 0.011093593 0.0041146353 0.0013173538 0.00039107195 0.0024207353 0.0006994601 0.0017380355 0.00056649564 0.00042962047 0.00040559747 0.0010234911 0.00025754882 0.00028883456 0.00073744997 0.0007899653 0.00080281484 0.0012709838 0.00067711313 0.00036034486 0.0010944428 0.0009329859 0.0008631516 0.0006078375 0.00047375573 0.00034246728 0.0002877172 0.00041509492 0.0003162096 0.000420123 0.009597464 0.00027430904 0.00026313556 0.00035028873 0.0006989014 0.00042124034 0.0004268271 0.00097265176 0.00026928095 0.0003486127 0.0025145926 0.00036425557 0.0003078295 0.0003011254 0.00026928095 0.00027151566 0.0023408448 0.00030056672 0.0002340845 0.00025475543 0.00021955896 0.00027598505 0.00028548253 0.00023184979 0.00021117885 0.00024581666 0.00020615078 0.00023240846 0.00020615078 0.00024414062 0.00020112272 0.0003201203 0.0004072735 0.00035140608 0.00018603851 0.00018715586 0.0012022669 0.00044302864 0.00027207434 0.0028067792 0.00019665332 0.00026034217 0.00033241115 0.00023520183 0.00022346967 0.00022123498 0.0001687196 0.00025363808 0.00018212778 0.00021229619 0.00021732427 0.00021508956 0.00021341354 0.00023911256 0.00030894682 0.00022905642 0.00021676559 0.00023520183 0.0001882732 0.0001949773 0.00020615078 0.0002379952 0.00019553598 0.0002402299 0.00020279874 0.00024637533 0.00029833202 0.00031676827 0.0003184443 0.0002553141 0.00019777067 0.0017436221 0.00019832935 0.00020335741 0.000296656 0.00023687787 0.00021062017 0.00027151566 0.0002078268 0.0002664876 0.00020894416 0.0002558728 0.00018156912 0.00019832935 0.00020950282 0.00020335741 0.00018380382 0.00020615078 0.0002078268 0.00032850043 0.00020503343 0.00021955896 0.00029777334 0.00023184979 0.00019777067 0.00023184979 0.00023017377 0.00026090085 0.00033855657 0.00021900029 0.0009933227 0.000296656 0.00037710508 0.0042084926 0.00030838815 0.00023911256 0.0010603636 0.00024637533 0.00024525798 0.00023743653 0.00019162525 0.00021788293 0.00022402835 0.00026090085 0.0003078295 0.00021788293 0.00026928095 0.00033017644 0.0002100615 0.00022346967 0.00018994923 0.00025810747 0.00027598505 0.0002145309 0.00019888801 0.00026425289 0.0002944213 0.00044917405 0.00047263838 0.0010463968 0.0023743655 0.0124550825 0.008572732 0.0 1.117988e-06 1.9564789e-06 8.3849096e-07 8.3849096e-07 5.869437e-06 2.515473e-06 0.0 0.0 0.0 2.79497e-07 0.0 0.0 0.0 0.0 0.0005452986 8.105413e-06 3.9129577e-06 8.3849096e-07 3.074467e-06 1.397485e-06 2.515473e-06 2.79497e-06 1.117988e-06 2.79497e-07 0.0 8.3849096e-07 2.79497e-07 2.79497e-07 8.3849096e-07 8.3849096e-07 0.00051623094 0.0 6.7079277e-06 3.3539638e-06 3.3539638e-06 4.192455e-06 2.683171e-05 1.1738874e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01996419 0.0002507088 0.00013443806 9.363149e-05 0.00057017384 0.0008085848 9.950093e-05 7.881815e-05 0.00028480744 8.133362e-05 7.183073e-05 5.7017387e-05 7.322821e-05 7.350771e-05 5.8135374e-05 0.00019648639 0.28603444 0.005777762 0.002386066 0.0021401085 0.009988105 0.011290002 0.0021728096 0.002094271 0.005674907 0.0017558001 0.0015280101 0.0015925738 0.0015780401 0.0014659617 0.0015204636 0.0053017787 0.095628776 0.0045032557 0.00083346 0.00084967085 0.002796647 0.0020235581 0.00094218436 0.0010070277 0.0019777208 0.00087119214 0.00068979856 0.0006308247 0.00070349395 0.0007197048 0.0008289881 0.004627352 0.021602044 0.00072836917 0.0019984036 0.00010760634 0.00014729492 0.00030213626 0.001029108 0.00020347381 0.00023757244 3.68936e-05 0.00076610124 5.114795e-05 0.00028061497 6.1768835e-05 0.0011014977 0.0016836899 0.05482054 0.001579158 0.008585868 0.01285211 0.010485609 0.0016490322 0.0035716922 0.0018846482 0.0007118788 0.00011543226 0.0020193658 0.00012996611 0.0009567182 0.00015008988 0.003298344 0.003657777 0.052874684 0.0035082463 0.013567902 0.04843627 0.097204864 0.04543615 0.004495709 0.008469318 0.0006160114 0.00044467972 0.0012630469 0.00039800373 0.00082367763 0.0004105811 0.0016006792 0.0020758242 0.018816017 0.0022421249 0.003812898 0.007091398 0.01505846 0.0072487546 0.0029358363 0.0022879625 0.00035887415 0.00031275713 0.00063613517 0.0003247755 0.000418966 0.0002884409 0.0006386506 0.0010654426 0.003851189 0.00065625896 0.00064927153 0.00034881226 0.0010509087 0.00067302876 0.0011881418 0.0006218808 7.155123e-05 4.4999015e-05 8.7203065e-05 4.7793987e-05 6.288682e-05 0.00010089842 0.00012437617 0.00015176687 0.0003435018 0.00011990421 0.00020515079 0.00019061695 0.00035999212 0.00025406276 0.00041281705 0.00025490127 2.235976e-05 1.565183e-05 4.3601533e-05 1.7049317e-05 1.2577365e-05 1.0900383e-05 1.0900383e-05 1.565183e-05 0.0021800767 0.0020489926 0.00021018174 0.00024428038 0.00023617496 0.00024819333 0.00026160918 0.00026216818 0.0002512678 0.0002417649 0.00024987033 0.0003091237 0.0002507088 0.0002973848 0.00027530454 0.0004466362 0.00081724924 0.0005721304 9.3352e-05 0.00012381717 0.00019369142 0.00014533843 0.000116829746 0.000102016405 9.30725e-05 9.30725e-05 9.195451e-05 0.00021185873 9.30725e-05 0.00019397092 0.00017915758 0.00031387512 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39505.0 12.034097 475407.0 0.008237152 0.00030710528 0.0014787329 0.00010096612 0.043085188 0.00026082914 4.206922e-06 0.00021875993 0.00018931147 0.00019141493 2.3138069e-05 7.1517665e-05 0.00010306958 0.0006646936 0.003811471 3.9965755e-05 0.028527135 0.034774415 0.028314685 0.02561805 0.020557122 0.02062864 0.019189874 0.018119212 0.01716424 0.016684651 0.0002040357 2.524153e-05 6.3103826e-06 3.9965755e-05 1.4724225e-05 4.4172677e-05 1.2620765e-05 0.02457894 0.026063982 0.047611836 0.03161081 0.069155484 0.012454592 0.020479295 0.006203106 0.046795692 0.014042704 0.0026671884 0.035617903 0.022149442 0.04317774 0.043278705 0.021592025 0.001018075 0.031991534 0.027790925 0.04293374 0.016091475 0.0061315885 0.004970478 0.0041101626 0.003437055 0.00094445393 1.2620765e-05 9.8862656e-05 4.206922e-06 4.206922e-06 0.039027613 4.83796e-05 0.0037147119 0.00048169252 0.0013483184 0.0016953894 0.0049136844 0.0005363825 0.0006121071 0.00053427904 0.0027723613 0.00011148342 0.00021875993 0.0019099425 0.0017416655 0.0021287024 0.0038493334 0.0014471811 0.00014303533 0.003117329 0.002437911 0.0023474623 0.0009802127 0.00085610856 0.00021665647 0.00024820838 0.0001451388 6.5207285e-05 4.206922e-06 0.026604572 0.0 0.0 1.0517304e-05 5.2503486 1.0 0.0 7.0 3.0 1789952.0 1789952.0 0.0 0.0 12.0 0.0 1.0 0.0 0.0 0.0 1538491600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 1.0 4.0 0.0 4.0 0.0 4096.0 4096.0 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 1769472.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.798418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.71961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9452853 0.0 5.9055033 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1769344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -289.0 0.0 4224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 480.0 1779920.0 4224.0 1781760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1780336.0 0.0 0.0 0.0 0.0


Input: 0.5689013 0.008174534 0.005676767 0.0044283727 0.0040724576 0.0029249142 0.002186648 0.001759991 0.003601495 0.0013465523 0.0015673467 0.0012811952 0.0012513316 0.0011722667 0.0012302803 0.0034340632 0.004364729 0.0012006615 0.0015416445 0.0014679647 0.0014797143 0.0014373668 0.0009431496 0.0009896584 0.0016126316 0.001222692 0.0009243013 0.00094241527 0.0009771745 0.0012767891 0.0016469012 0.0016285426 0.0045842994 0.0017230288 0.0011242891 0.0010843895 0.0048574773 0.0013367609 0.0008503768 0.00084768416 0.0015465402 0.00089321384 0.0009955332 0.0014053002 0.0011441166 0.0011296744 0.0009159787 0.00092625956 0.0027484256 0.0011103365 0.0013103244 0.0022943527 0.0014229247 0.002005019 0.0013191366 0.0009766849 0.0015015 0.0010224594 0.0009340926 0.0015088435 0.0012809504 0.0009977362 0.00081610715 0.0014887713 0.003986784 0.0040325583 0.0013081214 0.0013654006 0.003022338 0.0019749107 0.0010841447 0.0012055571 0.012444043 0.0024223744 0.0009903928 0.0010290685 0.0027954238 0.0014390803 0.00130396 0.0013338235 0.0019355007 0.0013835145 0.001429289 0.0015259783 0.0016432295 0.0013340684 0.0012545139 0.0015039479 0.0013778845 0.0011874433 0.0010941809 0.0013688275 0.0020204403 0.0012202441 0.0012417851 0.0017230288 0.0015844816 0.0015467849 0.0011996824 0.0014995418 0.0016052881 0.0018618209 0.0015181453 0.0011783863 0.0014542568 0.0015707737 0.0010058141 0.0011428926 0.0016035746 0.0012070258 0.0014672304 0.0014537673 0.0017852037 0.000992351 0.0016469012 0.0016461669 0.002931768 0.0020924066 0.0012077602 0.0012789922 0.001288049 0.0012351759 0.0010814521 0.001073619 0.0013012674 0.0010765564 0.0010087515 0.00091377564 0.001782756 0.0019298706 0.0016292769 0.0035050504 0.0021198224 0.0022106369 0.001084879 0.0012993091 0.0017151957 0.0037216835 0.0014542568 0.009609698 0.001378374 0.0034367559 0.0012968613 0.0017971981 0.002078454 0.0012195098 0.0012114319 0.0012501077 0.001198948 0.0011193935 0.0011837714 0.0012363999 0.0013230531 0.001191115 0.0011257578 0.0011331013 0.0012004167 0.00114583 0.0010998108 0.0010684786 0.001236155 0.0009808462 0.0013788637 0.0015272023 0.0010856134 0.0010785147 0.0016961027 0.0017942607 0.0016488595 0.0011867088 0.0010682337 0.0011991928 0.0011034826 0.0010063037 0.0009835388 0.0009654249 0.0013793532 0.0010422867 0.0010332298 0.001032985 0.0011144978 0.0009977362 0.0016309903 0.0011127844 0.0014887713 0.0011487674 0.0011984585 0.0010562395 0.0010851239 0.0010180533 0.0010772907 0.0010283341 0.0038653712 0.0027190517 0.0021761225 0.0028240636 0.0018422382 0.0012023749 0.0014106855 0.0018632896 0.0018747944 0.0014412834 0.0013012674 0.0016513073 0.009750448 0.0012417851 0.0012885387 0.001313017 0.0016762753 0.0012131454 0.0013977119 0.0012447225 0.0010413077 0.0010369016 0.0010912435 0.0011438718 0.0012853565 0.0011663919 0.0010506094 0.0010378807 0.0010045902 0.0009485348 0.0009666488 0.0009996945 0.0017778602 0.0013747023 0.001341167 0.0013169335 0.0013663797 0.0013541406 0.0014283098 0.0012028646 0.0034418963 0.0016006372 0.0010410629 0.0013805771 0.0015401758 0.0009869658 0.00097081007 0.0009304209 0.0013879206 0.0010733743 0.001109847 0.0010459585 0.0010202563 0.00097178924 0.0011803445 0.0011734905 0.001410196 0.0013827801 0.001373968 0.004011262 0.0010018976 0.001029558 0.0012564721 0.0070940615 0.26485547 1.3468139e-05 1.910027e-05 1.542714e-05 2.3875336e-05 9.1828215e-06 1.2243762e-05 9.3052595e-06 9.917448e-06 3.1833783e-06 2.1549022e-05 1.1141824e-05 7.958446e-06 1.0284761e-05 5.7545685e-06 1.7263705e-05 0.017207017 7.2483075e-05 4.162879e-05 3.6241538e-05 5.2770618e-05 1.8977831e-05 1.9467583e-05 1.31008255e-05 8.9379464e-05 2.3385586e-05 0.0002685057 5.0566738e-05 3.403766e-05 2.8038216e-05 3.391522e-05 6.4647065e-05 0.011234387 0.000116683055 5.9382248e-05 8.693071e-05 7.8237645e-05 3.0486968e-05 4.934236e-05 2.7181153e-05 8.901215e-05 2.6079215e-05 0.00014753734 5.1791114e-05 5.14238e-05 5.607643e-05 9.7582786e-05 8.472684e-05 0.011873512 0.00046771174 0.0001093368 0.00010590855 0.00019516557 7.897227e-05 6.6238754e-05 6.4647065e-05 0.00014215008 4.9709677e-05 0.00018598275 0.00011019386 8.2278086e-05 7.468695e-05 6.366757e-05 0.00012121325 0.019887544 0.0004350209 0.00017092293 0.00023483536 0.0003354791 0.00016357667 0.00015990355 0.00012402932 0.0001705556 0.00013823208 0.00053395046 0.00027242373 0.00036315 0.00037502646 0.0004958724 0.00046244691 0.03750436 0.0004978314 0.0003105018 0.00050223916 0.00045999815 0.00024916057 0.00024854837 0.00018500326 0.00036694558 0.00023422317 0.0012087042 0.0015625489 0.0018112198 0.0015675689 0.0016196049 0.0013204898 0.05105943 0.0014507634 0.0009512179 0.0011821353 0.0012804527 0.0009612578 0.0010181913 0.00072593265 0.001218132 0.0009110584 0.0016312365 0.0013247752 0.0017121678 0.0014688842 0.0021005399 0.001465211 0.04848616 0.0015260626 0.0013839125 0.0012985735 0.0014195418 0.0017915074 0.0022875022 0.0019161488 0.0021782878 0.0023875337 0.0018467268 0.0011523829 0.0013928504 0.0012232743 0.0021304146 0.0013002875 0.04447755 0.0026071868 0.0027051368 0.0017443688 0.0016347872 0.0023612096 0.0027385624 0.0023157853 0.002372229 0.0022685244 0.001273841 0.0008869382 0.001584955 0.0008783675 0.0010304351 0.0023397831 0.0324865 0.003208723 0.0032625955 0.0024155718 0.0014818626 0.0016425007 0.0027298692 0.0021792674 0.0015294908 0.0010833282 0.002373943 0.00089073373 0.0017971394 0.0009299138 0.0010904295 0.0030846936 0.011708832 0.00081384287 0.0008502069 0.0010156201 0.000875429 0.0007888656 0.0014499064 0.0011474855 0.0009439941 0.0006011687 0.00080429274 0.0010441481 0.0013479159 0.0005821909 0.00065749005 0.0021991022 0.013462506 0.00198251 0.0020019775 0.0034462519 0.0037536926 0.0028450831 0.003118731 0.0021655543 0.0030228626 0.0028869568 0.0035516706 0.0031865616 0.0036011355 0.0028979762 0.0030166183 0.0029836826 0.01533666 0.0018423189 0.0024196124 0.002128823 0.00566874 0.0034800447 0.0031918264 0.0032416587 0.006770801 0.003951062 0.0025408256 0.0032628402 0.0073367073 0.003259167 0.0033708303 0.0029102198 0.02682339 0.0051508285 0.0075322404 0.0054359855 0.02055899 0.0058958614 0.003554854 0.00599675 0.018139502 0.0032051723 0.0019588796 0.0031173844 0.014688597 0.0034352324 0.0056222132 0.007299364 0.0054181097 0.002558579 0.0026510195 0.0022037548 0.0030533494 0.002054381 0.001332856 0.0015421018 0.0020568296 0.0011348743 0.0009024877 0.0009655431 0.0014369279 0.00097546057 0.0012008683 0.0013553845 0.0012955125 0.0009139969 0.00089465175 0.0008857138 0.000871511 0.0008729803 0.00091779244 0.0009024877 0.0008740822 0.0008800817 0.00057447737 0.00055329566 0.00052415545 0.00054203137 0.00051852333 0.0005163195 9263.0 17.606392 163088.0 0.050150838 0.007106593 0.007339596 0.0063033453 0.011760522 0.011809575 0.0068061417 0.006941038 0.008780535 0.0062113707 0.0053161485 0.0063891886 0.0057637594 0.0074928873 0.0071127242 0.007750417 0.015059355 0.0093875695 0.008142843 0.008602718 0.006941038 0.0072414894 0.0076891 0.0065363483 0.008136711 0.007118856 0.006885853 0.0071985675 0.012539242 0.0063953204 0.0061929757 0.00680001 0.009105514 0.021742864 0.0065731383 0.00901967 0.010399294 0.010761062 0.007891445 0.0069165113 0.012612822 0.0077074952 0.005972236 0.005953841 0.008798931 0.0066405865 0.0081183165 0.009074856 0.0093078585 0.0077810753 0.009013538 0.011478466 0.010920485 0.010699745 0.011944472 0.012128421 0.00846169 0.008688561 0.008050868 0.008713087 0.013367017 0.009841313 0.009957815 0.016022025 0.0076339156 0.019609045 0.0096941525 0.015838075 0.012882615 0.026476504 0.0113803595 0.010589375 0.011282252 0.018903906 0.0068368 0.008253213 0.015083881 0.010037526 0.018536005 0.017800206 0.011319042 0.007063671 0.019376043 0.018572794 0.022098498 0.01589326 0.008682429 0.008909301 0.0078056017 0.0098474445 0.0072292257 0.0073273326 0.007903708 0.006456637 0.006885853 0.006223634 6.423303 0.0 0.0 0.0 15.0 4085248.0 4562944.0 1.0 0.0 238.0 1.0 1.0 0.0 0.0 0.0 1538635400.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 559616.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2993664.0 0.0 0.0 0.0 0.0 35328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -482304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -559616.0 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 -5.456683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7408593 0.0 0.0 0.0 0.0 5.9655385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2038817 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.325528 0.0 4.4463954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2993160.0 0.0 0.0 0.0 0.0 35220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -947968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -559407.0 0.0 872.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -2.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 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 -1.0 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 -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 -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 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 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 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3552816.0 872.0 4546560.0 35220.0 4509696.0 0.0 0.0 12188.0 4550656.0 56.0 567296.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 3473504.0 0.0 0.0 1952.0 565248.0 0.0 0.0 0.0 0.0


Input: 0.0026033828 0.0034870512 0.0017050158 0.0014910069 0.025450595 0.004739944 0.0018555275 0.0024705091 0.0012276113 0.0012082094 0.0013404952 0.0019425421 0.0018220152 0.0015351021 0.0022988317 0.010007267 0.0011970387 0.0015639111 0.0011059085 0.0012499529 0.0014574946 0.0013540178 0.0012352546 0.0012911086 0.0053261165 0.032776285 0.003996204 0.004171409 0.008269327 0.0050133346 0.0017314729 0.0014816 0.0015121726 0.0014086958 0.0016356393 0.0022535606 0.0016820863 0.0014639618 0.0014092837 0.0011799885 0.0020677727 0.0051056403 0.0014092837 0.0014451479 0.027556583 0.0050574294 0.0019202005 0.0018778691 0.0014028165 0.0061980262 0.002185948 0.002618669 0.0062450613 0.003618749 0.001249365 0.0012993396 0.0017361764 0.0014045803 0.001249365 0.0012640634 0.0015256952 0.0012464253 0.0011411847 0.0012011542 0.013540765 0.0072986437 0.0020983452 0.0063791107 0.0012581841 0.006284453 0.004296052 0.0021688978 0.0027815276 0.0020436672 0.0020342602 0.0020030995 0.0012193803 0.0012852291 0.0012875809 0.001323445 0.0013751835 0.0017526386 0.002417007 0.023871984 0.0012287872 0.0013775352 0.002018386 0.0015533282 0.0022294552 0.0018026133 0.0014086958 0.0011129638 0.0012617117 0.0061539314 0.0012575962 0.0012717067 0.0026374832 0.0018749294 0.0015262831 0.0028356176 0.0015215796 0.001203506 0.010719258 0.0020319086 0.0029290996 0.0075561595 0.0015597955 0.0016909053 0.0027438996 0.0076678675 0.002230043 0.0029726068 0.03254934 0.0071299057 0.0035217395 0.0034112076 0.002248269 0.008597395 0.0019102056 0.0017973218 0.0014410323 0.0015486247 0.0024863833 0.030560939 0.0013504901 0.0014022285 0.0016485739 0.0014739567 0.004757582 0.008582697 0.0013822387 0.0012964 0.030243453 0.007130494 0.0028902958 0.0027633014 0.001305219 0.0014616101 0.0010965016 0.0014657257 0.0013428469 0.0017150107 0.002174777 0.023586247 0.0011882196 0.0012740584 0.0010524063 0.0012711186 0.0013722437 0.0018808088 0.0018766932 0.0012076215 0.0047375923 0.027809396 0.0046523414 0.0033171377 0.008153503 0.0077684047 0.002147732 0.0063261967 0.001471605 0.0013798869 0.0013181536 0.0011576469 0.001934311 0.0015298107 0.0014204546 0.0016620965 0.0022088774 0.00825404 0.0015609714 0.0012182044 0.032326512 0.006181564 0.0018114323 0.0016826742 0.0013099224 0.0074562104 0.0018672863 0.001398113 0.0027827034 0.002018386 0.0013834145 0.0013622488 0.0013845904 0.0020195618 0.001305219 0.0012523048 0.002730965 0.0012299631 0.0012652393 0.0024981422 0.0017573421 0.0017267695 0.0017197143 0.0017173624 0.0014098717 0.0074714967 0.003230123 0.0034006247 0.001536866 0.0016362272 0.0016044787 0.003035516 0.0012722946 0.0015104088 0.0013716558 0.0016620965 0.002008979 0.0018273066 0.0022323949 0.010876237 0.0012999276 0.0026545331 0.0031954348 0.0017291212 0.007232207 0.0026310158 0.0013622488 0.001277586 0.0012176165 0.004144952 0.0015386298 0.0011752851 0.0014657257 0.0013446107 0.001573318 0.0015280469 0.0016221168 0.0013163898 0.024052482 0.0022047618 0.0106545845 0.0038015973 0.0025716342 0.006106308 0.0019672355 0.0017873269 0.005584221 0.002925572 0.02313589 0.0048481245 0.0022288673 0.004017958 0.007936555 0.010685746 0.006331488 0.002389374 0.0017391162 0.0017373523 0.0021295059 0.0035317345 0.0020148584 0.0013716558 0.0017520507 0.0024128912 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010384212 0.0039194864 0.010295675 3.2355986e-06 2.647308e-06 8.9714325e-05 7.941924e-06 0.003902132 0.0039721387 0.010314206 0.0038991906 2.3531627e-06 2.0590173e-06 2.088432e-05 6.5888555e-05 0.01034715 0.00062564714 0.0030649945 0.0005815253 0.0010903968 3.794475e-05 0.002167557 6.265296e-05 0.004130977 0.0051537203 0.0005997623 0.0020204843 4.73574e-05 5.088714e-05 4.647496e-05 0.0032026544 0.00061093987 0.00075507106 0.0016463314 0.00069712446 0.00015942677 5.9123213e-05 0.00026326007 7.58895e-05 0.0017616363 0.0018695877 0.0007403638 0.0015480869 5.7652484e-05 3.2355987e-05 6.324125e-05 0.00038768354 0.00072653894 0.0014068971 0.0016748635 0.0014627847 0.0017881094 0.0032711902 0.0036953478 0.0002764966 0.0036215172 0.0037597655 0.0029202749 0.0015298498 0.00029179218 0.00012501176 0.0003250306 0.0052940277 0.0028943901 0.006588267 0.0093817655 0.0033129589 0.0036435782 0.009649144 0.0069271224 0.012344985 0.017193383 0.013655403 0.009774449 0.007813676 0.0054381588 0.0046445546 0.008369317 0.011073983 0.00814106 0.0059314407 0.013355963 0.008353434 0.0053896247 0.011022802 0.008641107 0.005485222 0.019854221 0.018451149 0.010946618 0.011876412 0.0031741222 0.0037227033 0.0057267155 0.01370276 0.010992211 0.015288497 0.017477822 0.0110581 0.007678958 0.012587655 0.011482845 0.015344385 0.026400426 0.023851952 0.016653625 0.015030532 0.007873977 0.008050757 0.012170851 0.017710196 0.017483998 0.024024026 0.02272361 0.023228068 0.015841786 0.020678416 0.018838832 0.020106304 0.026251882 0.022502119 0.02412227 0.023428675 0.016386837 0.019381236 0.019689795 0.019088266 0.027081372 3192.0 5.656015 18054.0 0.010745541 0.0116871605 0.010025479 0.019053949 0.009471585 0.009970089 0.01091171 0.008862302 0.01085632 0.0077545145 0.0069790627 0.0095269745 0.014567409 0.014068904 0.010136258 0.008253018 0.00902847 0.0115763815 0.012241054 0.0116871605 0.009748532 0.009139249 0.008917691 0.009139249 0.010357816 0.0095269745 0.010690152 0.0070898416 0.008363797 0.008529966 0.009250028 0.010025479 0.012573391 0.008640745 0.019220117 0.009582364 0.008419187 0.011964108 0.011853329 0.01174255 0.010413205 0.008363797 0.013459621 0.01539825 0.008308408 0.008640745 0.0099147 0.007865293 0.00902847 0.008973081 0.0096377535 0.016506037 0.007976072 0.009305418 0.01894317 0.011299435 0.008696134 0.0059266645 0.008197629 0.0058158855 0.0069790627 0.008253018 0.0065913373 0.007034452 0.0075329565 0.009859311 0.008363797 0.008585355 0.009582364 0.0067021158 0.027362358 0.020604853 0.0078099035 0.007477567 0.008917691 0.008197629 0.009194639 0.009360806 0.017447658 0.010745541 0.00902847 0.0067021158 0.008363797 0.012850338 0.008640745 0.010191647 0.0068128947 0.0115763815 0.009194639 0.011077877 0.01816772 0.022100365 0.0068128947 0.009305418 0.01091171 0.0068128947 6.508067 0.0 0.0 0.0 12.0 1700864.0 1708032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1542302000.0 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 5.0 12.0 4.0 0.0 4.0 0.0 1700352.0 512.0 4096.0 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 -1700352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.150338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1700084.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0