Input: 0.14208454 0.008609004 0.0041755284 0.0034153268 0.0062254686 0.003938663 0.0020238974 0.00195569 0.007863685 0.0015067619 0.0016977424 0.0015018013 0.00456245 0.001369107 0.0012277318 0.0038803767 0.0061485805 0.0015018013 0.0011843272 0.000894136 0.0024653848 0.0019780125 0.0007664023 0.0008246886 0.0023029274 0.00075400097 0.0008296491 0.00071059633 0.0016146534 0.0006039449 0.0005940238 0.00056550076 0.003882857 0.000586583 0.00065231003 0.00054317835 0.0041569266 0.0013182616 0.00046504993 0.00056178035 0.0011843272 0.0006535502 0.00058410276 0.00094374135 0.0011061988 0.0023438518 0.0006771127 0.00051837566 0.005873271 0.0027716977 0.0034376492 0.0102162175 0.0035914257 0.0020176966 0.0030110434 0.0017076634 0.0040825186 0.0020598613 0.00071555685 0.0014844395 0.0016692192 0.0009772249 0.00046629008 0.00052953686 0.011792427 0.0039349427 0.004909687 0.00884215 0.0038754162 0.0326155 0.0032739516 0.0027134113 0.003389284 0.0035542217 0.0021925555 0.0023587334 0.0027146516 0.004395032 0.0011620048 0.0015340447 0.009075294 0.0021479107 0.0020598613 0.00977349 0.0032107048 0.013862208 0.0032280667 0.0020995454 0.0019296473 0.006525581 0.002746895 0.0032652707 0.0015687685 0.004645539 0.002382296 0.0036112678 0.0057753003 0.00446944 0.0018490386 0.0033309977 0.009374167 0.006206867 0.004081278 0.0016084528 0.008026142 0.0043243445 0.0038146498 0.0014410347 0.0036137481 0.0018205155 0.0045029237 0.004112282 0.0033359583 0.0017498279 0.0049754144 0.003918821 0.010342711 0.0056215236 0.0018763215 0.0011644851 0.0029663986 0.001266176 0.00053201715 0.0005915435 0.001656818 0.0025236711 0.0010652745 0.00087677414 0.0052556843 0.0011607647 0.0010913172 0.009083976 0.003128856 0.0032342675 0.0010367513 0.0006200666 0.0026687665 0.015223875 0.0022384403 0.051847488 0.0011992088 0.011026024 0.0008594123 0.00068207324 0.002662566 0.0004452078 0.00072919833 0.0006473495 0.0011260409 0.00093878084 0.0015154427 0.00056922116 0.0011768864 0.0005903034 0.0005010138 0.00071431673 0.00095862296 0.00047745128 0.00046629008 0.00042040515 0.00089909654 0.0033371984 0.00046753022 0.0025571547 0.0014273933 0.000819728 0.00056550076 0.00045388876 0.0010491527 0.00045884927 0.00051093486 0.00048861245 0.0008494912 0.00045140847 0.00074407994 0.00065975083 0.0013281826 0.0006870338 0.0017349464 0.0005382178 0.00088049454 0.0006721522 0.00071431673 0.0015836501 0.0031586192 0.0025410329 0.0046629007 0.0008259287 0.0010032677 0.00048117168 0.0008556919 0.00071679696 0.012028052 0.0011520837 0.0022930063 0.0103761945 0.0043689893 0.0010615541 0.003566623 0.0033768828 0.0018750813 0.00176967 0.0009859059 0.0013058602 0.0016865812 0.00089537614 0.0009945869 0.00094498147 0.0028820694 0.0011533239 0.0029825203 0.0013567057 0.0018180353 0.0007701227 0.0016084528 0.0008780143 0.0033768828 0.00065603043 0.0010888369 0.0017919925 0.0015005611 0.00072051736 0.0005642606 0.0008445307 0.0024455427 0.00065975083 0.00088049454 0.0009933467 0.002439342 0.002438102 0.00055185927 0.0006957147 0.027682252 0.006041929 0.0010962777 0.0059154355 0.0065503833 0.0010454323 0.00068207324 0.00075648125 0.00726222 0.0009797052 0.0018217557 0.00092141895 0.009162104 0.0021764338 0.004107321 0.0026005593 0.010094685 0.0030618887 0.003081731 0.003622429 0.014928724 0.0040068706 0.004313183 0.06911882 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002627152 0.0 0.0 0.00078895316 0.00040068882 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009561864 0.0 0.0 0.0041298904 0.0028476862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027874275 0.0 0.0 0.0021239612 0.0014499344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055226724 3.7273378e-06 1.8015466e-05 6.709208e-05 0.00014909351 7.5789205e-05 6.2122294e-06 7.4546756e-06 1.5530573e-05 0.0 0.0 1.8636689e-06 8.075898e-06 3.1061147e-06 4.9697837e-06 0.00035906688 0.006107243 0.00020624603 0.0002137007 0.000551646 0.0019139879 0.0004889025 0.0024513458 0.0010666398 0.00019506401 0.00010063812 9.256222e-05 7.5167976e-05 0.00067278446 0.00038080968 0.00040131004 0.0028936565 0.013345733 0.00064234453 0.000947365 0.0020848243 0.0041361023 0.0036148964 0.0069781975 0.003214829 0.00045473521 0.00023606472 0.0003112327 0.00033111183 0.0020860666 0.0011063981 0.0011237924 0.009004626 0.02080662 0.0013051894 0.0012356124 0.002081718 0.0073291888 0.0025656507 0.006702996 0.0032620418 0.002396057 0.0009765625 0.0009784262 0.0013381143 0.004065283 0.0026544856 0.0026787135 0.009597895 0.020260565 0.0015648607 0.0012536279 0.0022718124 0.009445074 0.004051616 0.0058966484 0.0034142414 0.005822723 0.0014163883 0.0017822887 0.002309707 0.003870219 0.0017760765 0.004052859 0.009691699 0.07419204 0.009840793 0.0072981273 0.010105434 0.042163644 0.030677233 0.021355782 0.013986214 0.05159878 0.0053040017 0.0060699694 0.009164902 0.01682831 0.007090639 0.027507752 0.06121842 0.060404614 0.010154511 0.009140675 0.011700113 0.028188612 0.03068096 0.017714173 0.014645953 0.04994198 0.0058997544 0.0064986134 0.009172978 0.021150779 0.0109645855 0.02514462 0.04864797 0.00023420106 4.7834168e-05 8.6349995e-05 5.2182728e-05 9.069855e-05 9.939567e-05 4.348561e-05 6.5849636e-05 0.00013480538 2.919748e-05 3.354604e-05 2.919748e-05 8.4486324e-05 6.0258626e-05 7.330431e-05 0.00010747157 5347.0 16.138582 86293.0 0.0054233833 0.00012747268 0.0005562444 9.270741e-05 0.0033374666 0.00056783285 0.00012747268 0.00017382638 0.00039400646 0.00040559488 0.0007300708 0.0005794213 0.0004983023 0.014195821 0.0011240772 0.00046353703 0.026560672 0.017301518 0.027383449 0.012874741 0.023292735 0.014786831 0.024266163 0.011762252 0.02642161 0.014670947 0.0008227782 0.0005098907 0.0009502509 0.00053306756 0.00011588426 0.0001390611 0.0013558458 0.008494316 0.0073702387 0.014450766 0.007103705 0.016061557 0.0047049006 0.0030593444 0.004901904 0.0175217 0.0024451579 0.00397483 0.0067908172 0.006640168 0.0044151903 0.009178033 0.012851564 0.0026073956 0.0059564505 0.02038404 0.013013802 0.0062345727 0.005875332 0.0034765278 0.0027696337 0.0053306757 0.0015180837 0.0029782252 0.0011588426 0.002781222 0.0028971063 0.022099128 0.00025494536 0.0308368 0.0136164 0.027116915 0.026537495 0.052901164 0.012388027 0.010464348 0.019850973 0.03500863 0.008239371 0.0071152933 0.024544286 0.012318497 0.037940506 0.03430174 0.019908914 0.0029898137 0.038763285 0.028658176 0.041938514 0.011298715 0.011171242 0.006130277 0.0147173 0.0066517564 0.0010429583 0.00028971065 0.000544656 0.00025494536 0.00030129906 0.00031288748 5.7704844 0.0 2.0 14.0 4.0 806365.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.582783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.006390467 0.0038250717 0.0037436916 0.0039636 0.0036043557 0.0037523748 0.0038723247 0.003972081 0.003562555 0.003773982 0.00382386 0.003827293 0.003815177 0.003839813 0.0038898932 0.0040748664 0.0034246326 0.003742076 0.0036514068 0.0038414286 0.0037297579 0.0038030606 0.0038408227 0.003949868 0.0038567756 0.003773578 0.00379256 0.0039767255 0.0037846845 0.003951282 0.0040082275 0.004177248 0.0036792739 0.0035671995 0.0036881592 0.0038648532 0.003559728 0.0037378354 0.0037600484 0.0039401753 0.003770347 0.0037378354 0.0037317772 0.0039260397 0.0037519708 0.003927655 0.003818004 0.004063356 0.003887268 0.0037976084 0.0037305658 0.0038987785 0.0037854924 0.0037497496 0.0038688919 0.0040215557 0.0037436916 0.003829918 0.0038739403 0.004022565 0.003988842 0.0039761197 0.0040782993 0.0043177954 0.0036372712 0.0037370275 0.0036467623 0.0037937716 0.0034840018 0.0037968007 0.0038182058 0.0038931242 0.0036291939 0.0036673597 0.0037826651 0.0038644492 0.0037519708 0.00377378 0.0037806458 0.0040813284 0.0036586765 0.003726325 0.0037826651 0.0037838768 0.003707747 0.0036748312 0.0038470828 0.0038765655 0.0037982143 0.0037911464 0.0038660648 0.003914731 0.0038381976 0.003836784 0.0039718794 0.0042271265 0.0036861398 0.0040433644 0.0038103303 0.0040064105 0.0037206707 0.0040300367 0.0038690937 0.003947041 0.0038915086 0.003947243 0.0037527787 0.0038725266 0.0039642057 0.0039272513 0.003927857 0.0042727636 0.0038248699 0.003836784 0.003990861 0.004081934 0.00408254 0.0038474866 0.0038830275 0.00408981 0.0041516023 0.0039668307 0.0039625904 0.004146958 0.0041980473 0.00410859 0.0042398483 0.004291746 0.0036649364 0.0038642474 0.0035777001 0.0038333512 0.0036873515 0.0038327454 0.0038107343 0.003952897 0.003657061 0.0038097247 0.003783675 0.003924828 0.0038923165 0.003928463 0.0038466789 0.0040570963 0.0036201067 0.0037119875 0.0036053653 0.0038545544 0.0037180455 0.0038250717 0.0038125517 0.003877777 0.0037243057 0.0037723663 0.0037659046 0.0038499099 0.003884441 0.0038862582 0.0040663853 0.0041659395 0.0038329472 0.0039207893 0.0035980956 0.003915741 0.0037473263 0.0038089168 0.0037091605 0.0039367424 0.0036574649 0.0037523748 0.003625559 0.0038612182 0.003739047 0.003865055 0.0039086733 0.0040304405 0.0037717607 0.003924828 0.003786906 0.0039767255 0.0038832293 0.003852535 0.0038438519 0.0039304825 0.0037652988 0.00392503 0.0038446595 0.0038878738 0.0040522497 0.0040177186 0.004124947 0.004347682 0.0038567756 0.0037652988 0.0039452235 0.003945022 0.0038489 0.003944416 0.003915741 0.0040506343 0.0037434895 0.0037820593 0.0038628338 0.003896961 0.0039167507 0.0039117024 0.003952897 0.004148573 0.0040373066 0.0038660648 0.0038218407 0.0038729305 0.0037279406 0.0038341589 0.0038218407 0.0040177186 0.0039088754 0.0038674783 0.003861824 0.0039484547 0.0038511215 0.0039165486 0.004088396 0.0043660584 0.003947243 0.0040310463 0.0040114587 0.004058106 0.0038785848 0.0039072596 0.0038898932 0.004168767 0.003997323 0.0038866622 0.0039024132 0.0039474447 0.0039260397 0.0039205872 0.003959157 0.0043064873 0.0042620613 0.004171392 0.0040086317 0.004115052 0.004077492 0.0039904574 0.004019334 0.0042142025 0.0043838285 0.004261657 0.0041625067 0.004102734 0.004354952 0.004142919 0.0043595964 0.0052848672 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00041365047 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.675155e-06 6.059333e-07 5.049444e-07 9.0889995e-07 4.0395554e-07 1.2118666e-06 3.7365887e-06 2.625711e-06 2.0197777e-07 1.00988885e-07 0.0 0.0 0.0 0.0 0.0 0.00018884921 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001326994 3.0296664e-07 1.09068e-05 7.3721885e-06 3.5346109e-06 1.4138444e-06 3.1205564e-05 1.8480965e-05 0.0 1.00988885e-07 2.0197777e-07 2.0197777e-07 2.0197777e-07 0.0 2.0197777e-07 0.0 0.0005877553 1.3128555e-06 0.000101897785 2.252052e-05 9.26068e-05 6.3421016e-05 0.00062895875 0.00035739967 2.3227444e-06 3.0296664e-07 8.079111e-07 6.059333e-07 2.0197777e-07 2.0197777e-07 5.049444e-07 6.059333e-07 0.00090152776 2.807491e-05 0.0001462319 4.887862e-05 5.796762e-05 5.2716197e-05 0.00040042092 0.00019925107 6.261311e-06 2.0197776e-06 6.160322e-06 2.1207666e-06 2.0197776e-06 2.524722e-06 1.5148332e-06 3.7365887e-06 0.0014271749 0.00026640866 0.00027610362 6.695563e-05 5.231224e-05 6.776354e-05 0.00018551658 0.00019339372 6.4430904e-05 2.9387766e-05 3.958764e-05 1.8480965e-05 2.3328432e-05 2.8781831e-05 1.353251e-05 0.00014239433 0.00046767952 6.392596e-05 3.5750065e-05 4.685884e-05 3.5548088e-05 3.1811498e-05 9.4525596e-05 5.231224e-05 2.09047e-05 2.1308655e-05 1.6764154e-05 9.290978e-06 1.625921e-05 6.968233e-06 9.795922e-06 0.00010442251 0.00018743536 4.322324e-05 2.3732387e-05 1.0199878e-05 1.0502844e-05 1.6663165e-05 2.6964031e-05 2.625711e-05 1.6865144e-05 1.0502844e-05 5.857355e-06 3.3326332e-06 1.1209766e-05 4.443511e-06 4.645489e-06 1.18156995e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.887232e-05 2.1510632e-05 2.5853155e-05 1.9692832e-05 3.4033255e-05 3.45382e-05 1.9490855e-05 2.0298765e-05 1.5148333e-05 2.2823488e-05 2.2015576e-05 1.4946355e-05 8.584055e-06 1.2522622e-05 1.8178e-05 4.514203e-05 0.059786126 0.060886398 0.059907716 0.06235882 0.05986025 0.061044145 0.061284397 0.063838914 0.061009403 0.061066866 0.06082995 0.06289931 0.06243759 0.0627658 0.06370278 0.0670144 22809.0 5.9473453 135653.0 0.009384238 0.009354751 0.009981349 0.00948007 0.009723338 0.009642249 0.009457955 0.00977494 0.009472699 0.010121413 0.010047696 0.00990026 0.009752825 0.010032952 0.010512115 0.010268847 0.009590647 0.009819171 0.009915004 0.009907632 0.0101509 0.009450584 0.010231989 0.009856029 0.009450584 0.010143528 0.009929747 0.0101582715 0.0108291 0.010010837 0.011219803 0.010548974 0.009317892 0.009819171 0.010055067 0.010032952 0.009045137 0.010416282 0.010010837 0.010519487 0.009863402 0.010313078 0.009738082 0.010526859 0.009988721 0.010091926 0.009715967 0.010394167 0.009413725 0.009546416 0.010335193 0.010423655 0.009715967 0.009465327 0.010342565 0.01027622 0.009406353 0.00956116 0.010099297 0.009907632 0.009878145 0.010202502 0.010593205 0.011883261 0.00948007 0.01263518 0.010290963 0.011367238 0.011573647 0.016335798 0.010290963 0.011418841 0.010858588 0.013372354 0.009317892 0.010548974 0.012266592 0.010512115 0.011728454 0.012539347 0.010652179 0.010084554 0.01326915 0.012789986 0.01419799 0.011249291 0.009465327 0.0101582715 0.010453141 0.011662109 0.010689038 0.0101582715 0.010136156 0.009856029 0.01065955 0.010961792 6.577095 1.0 0.0 0.0 65.0 4952064.0 4980736.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1536954000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 4948992.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4948992.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9976892 0.0 4.2002797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4948692.0 0.0 1608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 4956780.0 1608.0 4964352.0 0.0 0.0 0.0 0.0 12.0 4972544.0 28.0 4956468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.26163477 0.018385243 0.009089935 0.013170583 0.008482749 0.0029555683 0.005964712 0.0030270019 0.0048396313 0.0032948782 0.002169798 0.0024376742 0.002901993 0.0026787627 0.0025358954 0.003375241 0.0047324807 0.0028037718 0.0016519037 0.002348382 0.0027412672 0.0030002142 0.0018483463 0.0016072576 0.0022412315 0.0016608329 0.0016697621 0.0018304879 0.0017590543 0.0024823202 0.0019733552 0.0017947711 0.0047414103 0.001026859 0.0019108508 0.0012590186 0.006741553 0.0025001785 0.0013393813 0.0013750982 0.0020626474 0.0011072219 0.0018304879 0.0017679834 0.0015001071 0.0028127008 0.015322523 0.01377777 0.0075987573 0.003241303 0.0025269662 0.0027234089 0.0016340453 0.0017679834 0.0013929566 0.0016697621 0.0020001428 0.0018662048 0.0019912138 0.0018929924 0.0018126295 0.0028752054 0.014402814 0.015054647 0.0057414817 0.0028305594 0.0017947711 0.0024376742 0.0034645332 0.002384099 0.0025805414 0.0016876205 0.0028930637 0.002303736 0.0015447532 0.001321523 0.0028037718 0.0018572755 0.0025448247 0.001750125 0.0034288163 0.0022858775 0.002053718 0.0029734266 0.003071648 0.003419887 0.0035716838 0.003116294 0.0020358597 0.0018929924 0.0019019216 0.0015715408 0.0018037002 0.00158047 0.0025537538 0.003884206 0.0021251517 0.005062862 0.0020001428 0.0040270733 0.0033038075 0.005678977 0.0022858775 0.0024019573 0.0037770555 0.004527109 0.002857347 0.0018483463 0.0033216658 0.00395564 0.004277091 0.0050182156 0.0033395241 0.0020626474 0.005518251 0.0051878705 0.008277377 0.0033573827 0.0019376384 0.002134081 0.0026698336 0.0026698336 0.0015179656 0.0012590186 0.0016340453 0.0015447532 0.0015893993 0.0021876562 0.005205729 0.0019019216 0.002518037 0.0033841704 0.0020805057 0.0025358954 0.0026609043 0.0013572398 0.0021162226 0.0039377813 0.0014465319 0.007848775 0.0019465676 0.00350025 0.0011697264 0.0015715408 0.0022590898 0.0013929566 0.0012411601 0.001535824 0.001410815 0.0014197442 0.0012768769 0.0015447532 0.0021519393 0.007688049 0.0012322309 0.0012500893 0.0015090364 0.0013572398 0.0013483106 0.001491178 0.0017858419 0.0013840274 0.0012500893 0.0016608329 0.0014197442 0.0013304522 0.0010536467 0.0012500893 0.0014554611 0.0012233016 0.0012233016 0.0011607972 0.001151868 0.0012590186 0.0010000714 0.0014376027 0.0013304522 0.0011697264 0.0009018501 0.0011697264 0.0014018859 0.0012411601 0.0012679477 0.0010982928 0.0015893993 0.0013840274 0.00092863775 0.0012322309 0.0012768769 0.0013036645 0.0012858062 0.0016876205 0.0035984714 0.0015983285 0.0019554968 0.0031252233 0.0020269305 0.0012500893 0.002098364 0.0022412315 0.0014554611 0.0016251161 0.0012411601 0.0011161511 0.01163476 0.0012768769 0.0012411601 0.0014822488 0.0015715408 0.0010804343 0.0011429387 0.0010179299 0.0010715051 0.0012590186 0.0013750982 0.0012858062 0.001196514 0.0010804343 0.0012143725 0.0011607972 0.0015983285 0.0011161511 0.0011697264 0.0014376027 0.0023573113 0.0012947354 0.0011786557 0.0011607972 0.0016340453 0.0009643546 0.0013393813 0.0015536824 0.0030270019 0.001410815 0.0013393813 0.0016072576 0.0016340453 0.0010625758 0.001491178 0.0014554611 0.0094828205 0.0019822845 0.0013393813 0.0014018859 0.0011697264 0.0012411601 0.0012411601 0.0019554968 0.0024108866 0.0015268947 0.0012500893 0.0014643903 0.0024198156 0.003116294 0.030180728 0.044896062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016967773 0.00024414062 0.00047019677 0.00037525318 2.7126736e-05 0.0 0.0 0.0 4.0690105e-05 5.4253473e-05 7.233796e-05 7.233796e-05 4.0690105e-05 0.0 0.0 0.00015371817 0.016710069 0.00034812646 0.00031195747 0.000108506945 6.781684e-05 1.808449e-05 4.973235e-05 7.233796e-05 0.00014467593 6.781684e-05 3.1647858e-05 2.2605613e-05 6.781684e-05 2.7126736e-05 6.3295716e-05 0.00040690103 0.023351599 0.00056514033 0.0003797743 0.00020345052 0.00019440828 0.00015823929 0.00021701389 0.000257704 0.0002803096 0.00015371817 0.000113028065 0.00012207031 0.00018536604 1.3563368e-05 0.00016276042 0.0014196326 0.014621311 0.00020797165 0.00066460506 0.000736943 9.94647e-05 5.4253473e-05 8.138021e-05 9.94647e-05 0.00017632378 9.042245e-05 9.042245e-05 8.138021e-05 0.00017180266 4.5211227e-06 7.233796e-05 0.0012659143 0.0063205296 0.000108506945 5.4253473e-05 6.781684e-05 3.616898e-05 3.616898e-05 6.3295716e-05 5.4253473e-05 0.00024866176 6.3295716e-05 5.4253473e-05 4.5211225e-05 0.00013563369 3.1647858e-05 0.00021701389 0.0017225477 0.035630967 0.00044307002 0.0010850695 0.0013020834 0.0008454499 0.0007866754 0.002581561 0.0012839988 0.0016049986 0.0041956017 0.00026674624 0.00037073207 0.0006510417 0.000113028065 0.00042950665 0.0039650244 0.040052626 0.00033004195 0.0041910806 0.0049280236 0.00075050635 0.00038429542 0.0007595486 0.0010986328 0.0015733507 0.0030246312 0.00036621094 0.00048376012 0.00066912617 0.00022605613 0.00074598525 0.014490198 0.06296115 0.0008409288 0.012785735 0.013920537 0.0033049406 0.0022650824 0.0044487845 0.0033908421 0.0027443215 0.0031150535 0.00076859083 0.0007098163 0.0007866754 0.0003797743 0.00088161894 0.025585033 0.04164858 0.0010624639 0.009715892 0.011705186 0.007948134 0.00664605 0.016420718 0.009254738 0.0016411676 0.00094039354 0.0005741826 0.00047019677 0.0004973235 0.0004159433 0.0005967882 0.020091869 0.01655635 0.001107675 0.001916956 0.0018627025 0.0010172526 0.0013020834 0.0012478299 0.0013020834 0.0014060691 0.0007098163 0.00068268954 0.00050636573 0.0017270689 0.00041142217 0.0005244502 0.004756221 0.007039388 0.0015281395 0.0011257596 0.00056966144 0.0014151114 0.00173159 0.0003978588 0.0010534216 0.0036349827 0.00016728154 0.00013563369 0.00019440828 0.0062165437 0.00023057725 0.00040237993 0.0019350405 0.020788122 0.0070936414 0.0061396845 0.003137659 0.0049370658 0.0064064306 0.003942419 0.0043312353 0.010755751 0.0006510417 0.0007821542 0.00089066115 0.008947302 0.0010082104 0.0026403356 0.010140878 0.023166232 0.008205838 0.008685077 0.011131004 0.005239981 0.0066957828 0.0127179185 0.010158963 0.0066144024 0.0030834058 0.0035626446 0.002988462 0.0047200522 0.0030698422 0.0034993489 0.0068314164 0.020467123 0.013929579 0.013581453 0.014512803 0.013983833 0.01458062 0.013192636 0.014341001 0.014386212 0.013902452 0.01345034 0.0132921 0.014282227 0.013888889 0.014286748 0.015403465 489.0 17.736197 8673.0 0.027672086 0.0008071025 0.0033437104 0.0010377032 0.011068834 0.0020754065 0.001614205 0.002306007 0.002882509 0.0017295054 0.0013836042 0.001960106 0.0017295054 0.005880318 0.01614205 0.013144241 0.02882509 0.015450248 0.013374842 0.0063415198 0.001960106 0.005188516 0.004150813 0.002306007 0.004150813 0.0036896113 0.010031131 0.0008071025 0.0027672085 0.0013836042 0.0018448057 0.014527845 0.03874092 0.011991237 0.004266113 0.011299435 0.0073792227 0.0072639226 0.002882509 0.0053038164 0.004266113 0.0063415198 0.0011530035 0.001614205 0.0031131096 0.003574311 0.0047273147 0.0024213076 0.006687421 0.004150813 0.0027672085 0.014758445 0.008532226 0.005419117 0.010031131 0.013836043 0.0043814136 0.002306007 0.0065721204 0.001614205 0.0031131096 0.001268304 0.0017295054 0.02248357 0.0018448057 0.041162226 0.008186325 0.03482071 0.021099966 0.05119336 0.003574311 0.012106538 0.01302894 0.034244206 0.00322841 0.0047273147 0.01925516 0.02582728 0.03574311 0.040470425 0.016718552 0.0011530035 0.04104693 0.04266113 0.063299894 0.008993428 0.004612014 0.008762827 0.0063415198 0.01291364 0.0014989047 0.00046120142 0.0006918021 0.0010377032 0.00092240283 0.0008071025 5.7501335 1.0 34.0 0.0 8.0 111992.0 106496.0 1.0 0.0 135.0 0.0 1.0 1.0 0.0 0.0 1536662800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 73216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.393784 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.197366 0.0 5.727842 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1276.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23974.0 0.0 73156.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 2.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 23428.0 73156.0 32768.0 0.0 0.0 13176.0 98816.0 0.0 0.0 28.0 4704.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 6584.0 0.0 0.0 572.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.0650432 0.007344194 0.0050009573 0.005178708 0.006132411 0.0039652153 0.0041310024 0.0039515425 0.005802546 0.003274721 0.0033823971 0.0036319322 0.0052402373 0.0035003282 0.0029687842 0.0066913012 0.004862516 0.0037618272 0.0026782297 0.0029978396 0.0037857553 0.0036456054 0.0030696236 0.0028935818 0.0041036564 0.003179009 0.002813252 0.0027722325 0.0037737912 0.0030576596 0.0028525623 0.002991003 0.0041361297 0.0027448863 0.0027585593 0.0029568202 0.003534511 0.0030764602 0.002799579 0.0030080946 0.0029704934 0.0025261156 0.0025261156 0.0031123522 0.0031533719 0.003712262 0.0031055158 0.0028542716 0.0056435955 0.0040728915 0.0034900734 0.005409443 0.0035652756 0.003378979 0.0029602384 0.003192682 0.00361655 0.0034781094 0.0029602384 0.005130852 0.0034575996 0.003842157 0.003202937 0.0038096833 0.006241796 0.00407631 0.0032542113 0.0067066834 0.003073042 0.0065391874 0.0036832066 0.00309697 0.003180718 0.0027824873 0.002799579 0.0025808082 0.0029414378 0.0044266847 0.0031414079 0.0028064155 0.005600867 0.0033943611 0.002799579 0.0038831765 0.0028371802 0.0043993383 0.0042796982 0.0038131017 0.0032456657 0.0038797583 0.0027346313 0.0032217377 0.0028918728 0.0044967593 0.0038883039 0.0038814675 0.0031755907 0.0036814974 0.0027004485 0.0032764303 0.0036387688 0.004481377 0.0051205973 0.0030098036 0.004030163 0.003842157 0.0044728313 0.002731213 0.0034695636 0.003180718 0.0035533116 0.0042318422 0.0039891433 0.0028576897 0.0044215573 0.004307044 0.008417537 0.007009202 0.003320868 0.0032798485 0.0030115128 0.0030713328 0.0029123824 0.002707285 0.0029516928 0.0034575996 0.0030747512 0.003214901 0.003532802 0.0034952008 0.0031978094 0.008518376 0.0036199682 0.008747402 0.0029448562 0.0027671051 0.0031738814 0.0071100416 0.002751723 0.015467758 0.003061078 0.006903235 0.0026919027 0.002645756 0.0028679445 0.0025278248 0.0025329522 0.0025996089 0.0029226374 0.0027961605 0.0023193092 0.0025568802 0.0027739417 0.0023295642 0.0024731322 0.0025825175 0.0028423076 0.0030542414 0.0024970602 0.0026765205 0.0028850362 0.0032080645 0.0025312433 0.0028303436 0.0026867753 0.0026269553 0.0024628774 0.0025671353 0.0030439866 0.0025602987 0.002493642 0.0025021876 0.002661138 0.002421858 0.0025449162 0.002671393 0.0031362805 0.0024081848 0.0024662956 0.002553462 0.0027363405 0.0027243765 0.0028423076 0.003390943 0.0030115128 0.0029089642 0.0029568202 0.0027500137 0.00277736 0.0031841365 0.0029021276 0.0030764602 0.005877748 0.004440358 0.0034524722 0.004763386 0.0040506725 0.0025620079 0.0034114528 0.0052778386 0.003758409 0.00355673 0.002741468 0.0028286343 0.0066964286 0.0026919027 0.0031653359 0.0030713328 0.003486655 0.0030935518 0.003132862 0.0026901937 0.0027551411 0.0024406584 0.002671393 0.002825216 0.0032644663 0.0028679445 0.0026884845 0.0029978396 0.0027910331 0.003073042 0.0027705233 0.0028525623 0.0036507328 0.0028081245 0.0025876448 0.00263721 0.0035772396 0.0033772697 0.0025910633 0.0027380497 0.008309861 0.0035943312 0.002649174 0.0046369093 0.0045070145 0.0026679747 0.002955111 0.0030918426 0.0044489033 0.0029448562 0.0027859057 0.003013222 0.0036080042 0.002883327 0.0046420367 0.0034883642 0.004717239 0.0033516325 0.003378979 0.003358469 0.004717239 0.003806265 0.005106924 0.02727282 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014374314 4.7114856e-05 5.4824563e-05 2.5699014e-06 4.283169e-05 2.5699013e-05 4.797149e-05 3.169545e-05 7.709704e-06 1.7132676e-06 1.1992873e-05 4.283169e-06 2.5699014e-06 8.566338e-06 5.139803e-06 2.2272478e-05 0.0022983484 1.5419408e-05 0.00016019051 0.00021758498 2.9982182e-05 2.2272478e-05 0.0003674959 0.00022957785 1.9702577e-05 1.5419408e-05 2.4842378e-05 1.7132676e-05 1.4562774e-05 2.5699013e-05 1.8845943e-05 3.169545e-05 0.0053685238 0.00010193942 0.0005336828 4.8828126e-05 0.000495991 0.00018331963 0.0008891859 0.0005602385 5.1398027e-05 1.3706141e-05 1.3706141e-05 1.5419408e-05 1.9702577e-05 5.9964364e-05 2.0559211e-05 0.0003957648 0.0060675372 0.00018931607 0.0004565858 0.00027069627 0.00062876916 0.00020130894 0.0011119107 0.0006613213 7.281387e-05 4.1975054e-05 3.169545e-05 5.9964364e-05 5.9964364e-05 9.9369514e-05 3.5121986e-05 0.000537966 0.0069918446 0.00030581825 0.00051826343 0.00042403373 0.0024114242 0.00060821 0.0022066885 0.0011281867 0.00016276042 0.000106222586 0.00011821546 0.00015505071 0.000121642 0.00014562774 0.00010022615 0.00028525904 0.0024765283 0.00010879249 0.0002741228 0.00017903646 0.0004231771 0.00017560992 0.00065875135 0.0004411664 8.138021e-05 6.59608e-05 5.5681194e-05 5.225466e-05 8.2236846e-05 5.5681194e-05 5.7394464e-05 7.5383774e-05 0.0065858006 0.00071614585 0.0010399534 0.0069687157 0.0010031181 0.0010459499 0.0025724713 0.0016867119 0.00067674066 0.0005705181 0.00053282623 0.0005713747 0.0005910773 0.00063990545 0.00053282623 0.0005816543 0.007435581 0.00087376643 0.00083093473 0.002306058 0.0014442846 0.0010810718 0.0010939214 0.0010904948 0.005213473 0.0007238555 0.0005619518 0.0008720532 0.001983964 0.0007606908 0.0010913514 0.0077242665 0.029971046 0.0051406594 0.0029194078 0.0052014804 0.007892167 0.007737973 0.0043191477 0.0072205663 0.018893914 0.0013423451 0.0014562774 0.0027823464 0.009725363 0.0022863555 0.0067031593 0.017986739 0.028186677 0.0074450043 0.0047911527 0.006853927 0.009351014 0.010226494 0.00649928 0.008898712 0.017697196 0.0016061884 0.0019479851 0.002629009 0.011170505 0.0036107113 0.007857902 0.01508789 0.037778407 0.03832151 0.037404913 0.038724985 0.03766019 0.037984 0.038736124 0.040068187 0.03787692 0.037928317 0.037979715 0.03870443 0.0386753 0.03876182 0.04004506 0.040893983 2759.0 8.797752 24273.0 0.019857455 0.0050673587 0.0051085567 0.005438141 0.007086063 0.0050261607 0.0045729824 0.00440819 0.0057677254 0.0056853294 0.004325794 0.005273349 0.006591686 0.007127261 0.013306967 0.009022371 0.022082148 0.018868702 0.01491369 0.011947432 0.012441807 0.010464302 0.01091748 0.010958678 0.011535451 0.010299509 0.00968154 0.010258311 0.010793886 0.008074815 0.008775182 0.010093519 0.008692786 0.010958678 0.0050261607 0.013595353 0.007415647 0.0068388744 0.007580439 0.007992419 0.007086063 0.008898776 0.0051909527 0.0044905865 0.0072508547 0.009763936 0.008445598 0.0051909527 0.014584105 0.006014914 0.008445598 0.012359411 0.009763936 0.006385696 0.01071149 0.009475549 0.007456845 0.0051497547 0.0058501214 0.0056029335 0.004943765 0.005520537 0.0056029335 0.0099699255 0.006385696 0.021917356 0.008033617 0.017715156 0.018168336 0.03402958 0.01198863 0.00988753 0.011082272 0.02624315 0.007456845 0.005273349 0.016479217 0.014213324 0.019651465 0.032876033 0.014872492 0.004325794 0.03003337 0.023276892 0.034565154 0.011823838 0.006468092 0.007580439 0.0072920527 0.0072920527 0.0056029335 0.005520537 0.005973716 0.0056441315 0.004943765 0.005355745 6.348884 2.0 20.0 0.0 9.0 585088.0 585728.0 1.0 0.0 117.0 1.0 1.0 1.0 0.0 0.0 1541677300.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 5.0 1.0 193536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193536.0 -3584.0 359424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7406106 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9598532 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509344 -5.5316076 7.9967904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -193208.0 -3338.0 359288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 209384.0 359288.0 212992.0 0.0 0.0 15744.0 569344.0 8336.0 573440.0 84.0 29216.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8864.0 0.0 0.0 484.0 208896.0 0.0 0.0 0.0 0.0


Input: 0.048470426 0.0051155193 0.0041111736 0.0042166887 0.0045879446 0.0038219846 0.0034859001 0.0037672732 0.004775527 0.0034546363 0.003599231 0.0034780842 0.0039274995 0.003497624 0.003579691 0.004533233 0.0041854247 0.0036656663 0.0035367035 0.0032240667 0.0036226786 0.004435534 0.003302226 0.0031615393 0.003286594 0.0033608454 0.0033491214 0.0035210717 0.0033764772 0.0030872882 0.0033725693 0.0033373977 0.0040603704 0.0032670544 0.003587507 0.0033608454 0.003775089 0.0035484275 0.0032514224 0.0032162508 0.0035249796 0.003489808 0.003208435 0.0033803852 0.0033373977 0.003396017 0.003489808 0.0033334896 0.0033803852 0.0035445194 0.0034272806 0.0036187707 0.0036500343 0.0037594573 0.003583599 0.0036226786 0.0033569373 0.0036578502 0.0034585444 0.0037907208 0.0035249796 0.0034468204 0.003286594 0.0033491214 0.006131589 0.004068186 0.004474614 0.003583599 0.0037281937 0.0054711434 0.0037203776 0.00369693 0.0035171637 0.0032279748 0.003106828 0.003306134 0.0035210717 0.0039392235 0.0034350967 0.0033569373 0.0048771338 0.0035171637 0.0034585444 0.004556681 0.0034390045 0.003583599 0.0041463454 0.004279216 0.0033608454 0.0033569373 0.0035171637 0.0033295816 0.0034780842 0.0038024448 0.003403833 0.003583599 0.003396017 0.0040173824 0.0035718752 0.0036656663 0.003700838 0.0052796537 0.00390796 0.003599231 0.0044199023 0.0042440444 0.0047012754 0.0032592383 0.0040212907 0.003489808 0.004005659 0.0042245043 0.004177609 0.003794629 0.0047208155 0.004177609 0.0057017133 0.0054789595 0.0035249796 0.0042245043 0.003986119 0.0037164697 0.0037399174 0.003403833 0.0036344025 0.004173701 0.0034859001 0.0035445194 0.00448243 0.0038454323 0.0034116488 0.0044120867 0.0037203776 0.004373007 0.0033217657 0.0033647534 0.0038532482 0.0044277185 0.0034272806 0.0061394046 0.00369693 0.0039353156 0.0033452136 0.0032905021 0.0035757832 0.0033764772 0.0033882011 0.0033413055 0.0033803852 0.0035288876 0.003497624 0.0032475146 0.0034859001 0.003298318 0.0032709623 0.0034663603 0.0032396987 0.0036539424 0.0035445194 0.0034233727 0.0035406116 0.0034741762 0.0033764772 0.0036148627 0.0035132559 0.003392109 0.0035288876 0.0035367035 0.003782905 0.003392109 0.003384293 0.0034468204 0.00367739 0.0034585444 0.0034429126 0.0032748703 0.0034624522 0.003399925 0.0034859001 0.0034194647 0.003497624 0.00350544 0.0034546363 0.0034116488 0.003501532 0.00367739 0.0034116488 0.0033491214 0.0036109549 0.0032826862 0.003489808 0.0034390045 0.0046817358 0.0038180766 0.003603139 0.0035679673 0.003392109 0.003493716 0.00367739 0.0038258927 0.0037516414 0.0036734822 0.0036304947 0.0035210717 0.0038102607 0.0032748703 0.0033413055 0.0034585444 0.0038063528 0.003399925 0.003396017 0.003591415 0.0036109549 0.0037438255 0.0037477333 0.0037242856 0.0036461265 0.0033452136 0.003497624 0.0034624522 0.0035132559 0.0035210717 0.0036500343 0.0033530295 0.0038493404 0.0035367035 0.0037047458 0.0034702683 0.0037125617 0.0035523353 0.0033295816 0.0035406116 0.0056040143 0.0041189897 0.003595323 0.0041854247 0.0042362283 0.0037633653 0.0037555492 0.0031537234 0.0040603704 0.0032514224 0.0033217657 0.0034624522 0.0038610643 0.0033491214 0.0036265866 0.0034663603 0.0040603704 0.0036461265 0.0036070468 0.003579691 0.0042284126 0.0034155569 0.0038024448 0.012720409 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006192115 0.00012994582 0.0006497291 0.0005591608 0.0010572864 0.0005414409 0.004002725 0.0020200668 0.00025201612 5.7097404e-05 4.1346397e-05 3.1502015e-05 9.4506046e-05 3.1502015e-05 3.3470893e-05 0.0004351216 0.0081413025 0.0001811366 0.00033470892 0.00024414062 0.0013998708 0.00071076426 0.003571541 0.0030281313 0.00054734753 0.00021263861 0.00026776714 0.00026186052 0.00031305128 0.000238234 0.00026579827 0.00044299712 0.005495133 0.00017916772 0.00011616368 0.00017326108 0.00030911353 0.0002461095 0.00042133947 0.0007816438 0.000746204 0.00037802418 0.00041740172 0.00038393083 0.0005197833 0.0003543977 0.00040558845 0.0011695124 0.0064835087 0.00019098098 0.00020870086 0.000222483 0.00056112965 0.000285487 0.00042133947 0.00074817287 0.0011931389 0.0007166709 0.0008033014 0.00076786167 0.0009549049 0.0007087954 0.00067532447 0.0011872322 0.014337355 0.0017070154 0.0007737683 0.001634167 0.0029355942 0.0026008852 0.0019196541 0.0032958984 0.004270492 0.0018192414 0.0021736391 0.0020456621 0.0031974546 0.0026107295 0.0039968183 0.0071332376 0.015217443 0.003112793 0.0022898028 0.003032069 0.005036385 0.0041543283 0.002622543 0.004807995 0.00527265 0.0014707504 0.0013644311 0.0014569683 0.0032486455 0.0016696069 0.0033116494 0.006448069 0.05146642 0.05041307 0.05086788 0.050682805 0.05109824 0.051218342 0.05057058 0.05081669 0.050879695 0.050107893 0.05086788 0.050560735 0.050210275 0.051476263 0.052523706 0.050755654 1316.0 7.8541036 10336.0 0.013061145 0.007256192 0.011126161 0.0052244584 0.0060952012 0.0080301855 0.0060952012 0.0060952012 0.0059017027 0.0062887 0.0065789474 0.0052244584 0.0060952012 0.00880418 0.010255418 0.008126935 0.0071594426 0.0066756965 0.0080301855 0.0074496903 0.006772446 0.0065789474 0.0062887 0.0074496903 0.005708204 0.007643189 0.007256192 0.006772446 0.008610681 0.0082236845 0.007836687 0.006965944 0.008320433 0.015770124 0.008320433 0.011996904 0.009674923 0.009674923 0.01006192 0.009674923 0.008320433 0.010448917 0.006965944 0.0064821984 0.008417183 0.008997678 0.0061919503 0.008513932 0.01248065 0.007836687 0.008900929 0.014125387 0.008997678 0.005127709 0.008417183 0.008513932 0.005998452 0.0044504646 0.0070626936 0.0071594426 0.006869195 0.0070626936 0.0046439627 0.006385449 0.0061919503 0.02380031 0.010352167 0.01635062 0.017705109 0.049342107 0.017027864 0.010448917 0.011029412 0.02612229 0.0074496903 0.0080301855 0.023993809 0.012770898 0.02360681 0.027960526 0.01373839 0.006385449 0.025251549 0.023510061 0.03279799 0.012770898 0.00880418 0.016447369 0.010739164 0.011126161 0.007933437 0.0066756965 0.0071594426 0.005998452 0.0054179565 0.005514706 6.3561687 0.0 1.0 0.0 3.0 255888.0 204800.0 0.0 0.0 158.0 0.0 1.0 0.0 0.0 0.0 1399838600.0 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 23552.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 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 -23552.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2720685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8712263 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4835434 0.0 6.0614696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4558.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23144.0 0.0 16592.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 29604.0 16592.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 664.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.056310017 0.008277829 0.0061677336 0.005649212 0.0057397475 0.0049578496 0.004196528 0.0054094982 0.0050350106 0.0056193764 0.0037438502 0.0044640196 0.0049413885 0.0031749166 0.004322043 0.00463686 0.0050350106 0.003777801 0.0049208123 0.0041594906 0.004348792 0.0031769744 0.0041070213 0.0038426162 0.0050679324 0.0033467284 0.0031687438 0.002937261 0.0041656634 0.0034413792 0.0037819163 0.0037798588 0.006163618 0.0038179248 0.0034845895 0.0030216237 0.0048868614 0.0041553755 0.0038487893 0.003722245 0.0047119632 0.0038919994 0.003332325 0.0031090728 0.0043631955 0.0037140148 0.0037212165 0.0035957012 0.005506207 0.0039619585 0.003107015 0.002904339 0.0036944672 0.0030823236 0.0026924035 0.002849812 0.0041708075 0.003321008 0.0035288283 0.003343642 0.0040010535 0.0032325303 0.0035247132 0.0034588692 0.006577201 0.0039526992 0.0036121623 0.0032273862 0.004140972 0.0032273862 0.0035339724 0.0030761508 0.0049918005 0.0037839739 0.0037057842 0.0035895284 0.004124511 0.0031275912 0.003547347 0.0034670995 0.005158468 0.003619364 0.0036584588 0.003327181 0.0039146333 0.0033734776 0.0033950827 0.003541174 0.004646119 0.0036450843 0.003800435 0.003509281 0.004096733 0.0033806793 0.0036944672 0.0037829452 0.005895098 0.003623479 0.003343642 0.0029578372 0.0040072263 0.0030545455 0.0032736827 0.003030883 0.004965051 0.0031759455 0.0032078386 0.0030463152 0.0035710097 0.0028580423 0.0030946692 0.003200637 0.0045020855 0.0032819132 0.0032263573 0.003140966 0.0038806824 0.0033415845 0.003294259 0.003623479 0.004635831 0.0032911727 0.0034907623 0.0031687438 0.004037062 0.003211954 0.0034773878 0.0033518726 0.008609107 0.004595707 0.0040185433 0.0035216266 0.0043529077 0.0034506386 0.00302471 0.0033899387 0.004527806 0.0038271842 0.002970183 0.003195493 0.0037201876 0.0027983712 0.002853927 0.0029825286 0.005215053 0.0032047522 0.003509281 0.0030370557 0.0036646316 0.003185205 0.003322037 0.0032767693 0.0045494107 0.0028580423 0.003052488 0.0027119508 0.0035123674 0.003239732 0.002986644 0.0031656574 0.0049959156 0.0034331488 0.0032870574 0.0028086593 0.003766484 0.003008249 0.003052488 0.0031831472 0.0041275974 0.0030133931 0.00312862 0.0030319118 0.0036656605 0.0028426102 0.0029290305 0.0030494016 0.004670811 0.0031224473 0.0038374723 0.0028734745 0.0035699809 0.0031450812 0.0030020762 0.0031265626 0.0042531127 0.003162571 0.0033487862 0.0031934353 0.0036533147 0.0031893202 0.0033199794 0.003342613 0.006692428 0.0040607248 0.0037243029 0.0033487862 0.004124511 0.003266481 0.003305576 0.0032325303 0.0043323315 0.0033364403 0.0031245048 0.0030915828 0.0036419977 0.002991788 0.0030915828 0.0028148321 0.004240767 0.0032736827 0.003107015 0.003008249 0.0037160723 0.0030113354 0.0029413763 0.0029578372 0.003964016 0.003119361 0.0027387 0.002656395 0.0035504336 0.0029557797 0.0035926148 0.002886849 0.004951677 0.0032345878 0.0034166877 0.0029876728 0.0038199825 0.003075122 0.003211954 0.0029238863 0.0044362415 0.0054331613 0.0034588692 0.0031461099 0.003789118 0.0030792372 0.0032520776 0.0031924066 0.0045946785 0.0033240947 0.0034269758 0.0030504304 0.0037520807 0.0030987845 0.0033158641 0.0032582507 0.0043642246 0.0030277965 0.0031903489 0.002871417 0.0040236874 0.0031101014 0.0042160754 0.0044856244 0.011594105 0.0 0.0 0.0 0.0 0.0 1.0301292e-06 3.0903877e-06 0.0 1.0301292e-06 2.0602583e-06 0.0 0.0 1.0301292e-06 0.0 1.0301292e-06 0.0020386258 4.1205167e-06 2.0602583e-06 6.1807755e-06 5.1506463e-06 1.0301292e-06 3.0903877e-05 1.1331422e-05 0.0 0.0 1.0301293e-05 0.0 0.0 0.0 0.0 0.0 0.0009441134 2.5753232e-06 6.1807755e-06 1.2876615e-05 9.2711625e-06 5.665711e-06 5.150646e-05 2.2662844e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028436717 3.553946e-05 2.7813488e-05 1.0816357e-05 2.2147779e-05 3.450933e-05 4.2235297e-05 1.8027262e-05 3.553946e-05 5.1506463e-06 9.786228e-06 1.5967003e-05 2.6268295e-05 7.2109046e-06 1.6997132e-05 1.2876615e-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 0.00087406463 1.1846486e-05 1.2361551e-05 8.241033e-06 1.339168e-05 1.5967003e-05 1.339168e-05 1.1331422e-05 1.0816357e-05 1.339168e-05 6.69584e-06 1.339168e-05 1.1846486e-05 1.0301293e-05 1.8027262e-05 9.786228e-06 0.0016142125 6.4898144e-05 5.6657107e-05 4.8416074e-05 4.7385944e-05 3.0388812e-05 2.2662844e-05 0.00055111916 2.9873747e-05 1.6997132e-05 1.9572455e-05 0.00027555958 2.0602585e-05 0.0002724692 1.6482067e-05 7.725969e-05 0.0007380876 3.708465e-05 3.3994264e-05 2.0602585e-05 2.2147779e-05 1.6997132e-05 1.3906744e-05 1.1846486e-05 1.6482067e-05 2.2662844e-05 1.905739e-05 1.7512197e-05 6.69584e-06 4.6355813e-06 2.2662844e-05 5.047633e-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 0.0013098093 3.708465e-05 4.2750362e-05 5.9747494e-05 4.2235297e-05 3.1418942e-05 9.116644e-05 5.8202302e-05 3.914491e-05 5.7172172e-05 4.3780492e-05 4.2750362e-05 7.7774755e-05 7.725969e-06 8.756098e-06 0.0001601851 0.0011614707 6.901866e-05 4.584075e-05 4.584075e-05 3.811478e-05 3.7599715e-05 4.7385944e-05 5.9747494e-05 5.2021525e-05 5.047633e-05 6.798853e-05 5.150646e-05 7.4684365e-05 1.4421809e-05 4.3780492e-05 0.00024980633 0.0045536864 0.0002879211 0.00026371307 0.00026422815 0.00029719228 0.00023177908 0.00032397563 0.00030182785 0.0003275811 0.000350759 0.00032861123 0.0003548795 0.0005253659 0.00015915497 0.000183363 0.00073963276 0.0031764035 0.0002719541 0.00029873746 0.00024723102 0.00028689098 0.0002807102 0.00034097277 0.00092763134 0.00040484077 0.0003492138 0.00032243045 0.0006649484 0.0004599527 0.00043265428 0.00017357677 0.0008555223 0.0022369255 0.00018078768 0.0002884362 0.00024362556 0.0002966772 0.00029307176 0.0002838006 0.0004002052 0.00044038024 0.00032088524 0.00024465568 0.00031521954 0.00045789243 0.00016070016 0.00018851364 0.0010321895 0.00034251797 5.4081785e-05 4.2750362e-05 4.4810622e-05 5.4081785e-05 4.790101e-05 5.3051655e-05 5.150646e-05 7.004879e-05 4.790101e-05 3.811478e-05 4.893114e-05 4.4295557e-05 2.6268295e-05 4.1720232e-05 4.687088e-05 0.09891868 0.062025625 0.062433556 0.055386957 0.06056902 0.059548166 0.054987267 0.054547403 0.06043871 0.053277254 0.052223947 0.05303672 0.05649486 0.05064424 0.056716856 0.05389842 4051.0 5.7008147 23094.0 0.017233914 0.010435611 0.009482983 0.008746861 0.013510003 0.012470772 0.01173465 0.011388239 0.012600675 0.00974279 0.008487053 0.008660258 0.013899714 0.010435611 0.011864553 0.009959296 0.0168009 0.011777951 0.00870356 0.0074911234 0.009829393 0.008487053 0.007837534 0.008270547 0.010305707 0.008443751 0.009699489 0.008790162 0.01143154 0.008920066 0.009656188 0.009223175 0.018013338 0.010911925 0.0102624055 0.009093271 0.010782021 0.008876764 0.010565515 0.00840045 0.014202823 0.01173465 0.009699489 0.008963367 0.011388239 0.009309777 0.011561445 0.009656188 0.0147224385 0.009569585 0.010002598 0.008963367 0.01208106 0.0095262835 0.009612886 0.009959296 0.013683207 0.009179873 0.010522214 0.009612886 0.01108513 0.009829393 0.01039231 0.0106088165 0.017796831 0.010911925 0.009612886 0.008140642 0.013033688 0.008270547 0.009353079 0.008270547 0.015328657 0.009309777 0.008920066 0.008746861 0.01143154 0.0080107385 0.0098726945 0.007794232 0.013163593 0.007967438 0.008790162 0.00870356 0.011518143 0.00939638 0.008530354 0.007967438 0.011344939 0.009006669 0.011907855 0.008616957 0.011344939 0.008963367 0.010089201 0.008790162 6.554926 0.0 0.0 0.0 14.0 971994.0 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: 0.3110852 0.035608944 0.03718028 0.008852603 0.016188957 0.0036144538 0.027050864 0.0061844415 0.0064789644 0.0042514964 0.03323803 0.006029544 0.0051688817 0.0031241274 0.0024014548 0.0022100147 0.0041576857 0.0066578602 0.0029354144 0.0050947056 0.0029392322 0.0027756083 0.0069949254 0.0035080982 0.0022880088 0.004865632 0.0016422394 0.0013864406 0.0017431409 0.0020905691 0.0019973035 0.0056357556 0.013475526 0.0020229379 0.0030739494 0.0036019094 0.0016449665 0.0032092119 0.003453557 0.0011300964 0.011595487 0.0017349597 0.005941187 0.0045732902 0.0054034097 0.0014137112 0.001175911 0.0010761004 0.003751898 0.0025279906 0.0022771005 0.0020398458 0.0019547613 0.001437164 0.0013111735 0.0020371187 0.0020223926 0.0019525796 0.0012211803 0.001437164 0.0014366186 0.00174205 0.00061686244 0.00091793056 0.00091193104 0.0044243927 0.0016384216 0.0021832895 0.007601425 0.0024167262 0.004083509 0.0013188093 0.0009801077 0.0013597154 0.0006861299 0.0008546626 0.0023970914 0.001239179 0.0014480723 0.0009784715 0.002471813 0.0006921295 0.0011710023 0.0019596699 0.0016155142 0.0010117417 0.0008862966 0.0008502993 0.0005639573 0.0012522689 0.0007014015 0.002100932 0.0007875768 0.0020251195 0.0006866753 0.007645058 0.0011590032 0.008552626 0.003818984 0.0041593215 0.0048269075 0.016592564 0.001660238 0.0031901223 0.0025492618 0.0054126815 0.00058904634 0.0016744188 0.0055212188 0.006830211 0.0061059017 0.03759643 0.009406198 0.00078866765 0.013036468 0.010569019 0.011575307 0.0038288012 0.0011022802 0.0016149688 0.0016400578 0.002550898 0.0005579578 0.010379215 0.0009975609 0.004299493 0.0015827894 0.0010515568 0.0017622303 0.0016378762 0.0006692221 0.0019416714 0.0023163701 0.0005481404 0.0017251422 0.0005088706 0.0005901372 0.00063267944 0.00049905316 0.0014328007 0.00058904634 0.000682312 0.0004805091 0.0005328688 0.0004096054 0.00051050686 0.0005366867 0.0005557761 0.00051487016 0.00046632838 0.00065449596 0.0004875995 0.0008383002 0.0005988638 0.00046960084 0.0016466028 0.0013908038 0.00062177115 0.00052305136 0.0004881449 0.00078539515 0.000820847 0.0021980156 0.00041560494 0.0004472389 0.00045160222 0.00047396414 0.0005219605 0.0005355959 0.00045487468 0.0012855391 0.00043742146 0.00050396187 0.00046414672 0.00049141736 0.0005290509 0.00076139695 0.0006403152 0.0004674192 0.00050396187 0.0006195895 0.00063431566 0.0005383229 0.00060213625 0.00071612763 0.0005405046 0.0006861299 0.0004063329 0.0011971822 0.000509416 0.0005497766 0.0010144687 0.0007199455 0.001079373 0.0004057875 0.0005737748 0.0005530491 0.00061031745 0.00038069848 0.0009402925 0.00047287333 0.00060813583 0.00049032655 0.00044942056 0.0007014015 0.00050341646 0.0005814106 0.00038669803 0.0008530264 0.0004352398 0.00038397097 0.00060540874 0.00092120306 0.00066213176 0.0004314219 0.00053123257 0.0004756004 0.0005214151 0.00041615035 0.00048269075 0.00060813583 0.00046687378 0.0014960687 0.0017180518 0.0007837589 0.0009653815 0.0011497312 0.0005508674 0.0004794183 0.00049414445 0.00051977887 0.0006599501 0.00052686926 0.00050614355 0.00038178932 0.0004237861 0.00052359677 0.002021847 0.0004134233 0.00044014852 0.0005263238 0.0005050527 0.00093374756 0.00045978342 0.00041724116 0.0005246876 0.0014889783 0.0004063329 0.00053123257 0.00040742374 0.00049032655 0.00042051365 0.00062886154 0.001648239 0.0023561853 0.0037284452 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0096482625 2.1834824e-06 0.0 0.0 1.6376118e-06 0.0 2.5382982e-05 1.8832536e-05 6.004577e-06 0.0 1.6376118e-06 0.0 5.458706e-07 0.001560644 1.7194923e-05 0.0015740179 0.013798244 0.0003681897 0.0005892673 0.00024482296 3.821094e-06 0.00030186644 0.0001924194 0.00010344248 0.00027948574 8.160766e-05 0.00012254795 0.0001678552 8.188059e-06 0.0006487672 0.00013755939 0.0008390031 0.013757576 0.0006924369 0.0010150464 0.0004953776 0.00054641644 0.0002511005 0.0004784556 0.0005529669 0.0001716763 0.00020743083 0.00025737798 0.00022762804 0.00017822675 0.0002273551 0.00026229082 0.00024263948 0.030617064 0.00197032 0.0044826893 0.0015489078 0.00474498 0.0039471905 0.023527296 0.012343499 0.0002830339 0.00014711212 0.00018041024 0.00015093322 6.332099e-05 6.277512e-05 0.0001430181 0.00019214646 0.17137553 0.014745057 0.024288785 0.009931024 0.011095093 0.01150395 0.046300743 0.02914485 0.0020860445 0.002632734 0.0017806299 0.0016149582 0.0011531516 0.0011837204 0.0012964427 0.0018963545 0.1890631 0.022386152 0.02030393 0.011437899 0.011336368 0.006008125 0.03007092 0.02227807 0.008518037 0.0040252497 0.0038909656 0.004003415 0.004082566 0.003945007 0.0044619464 0.0046633724 0.0641821 0.012098403 0.009221665 0.0030691575 0.0038868715 0.002645562 0.007410739 0.0076208995 0.0031556778 0.0020994183 0.002872371 0.0025844243 0.0023060304 0.0017841781 0.0026755848 0.0031862466 0.01290247 0.0030989074 0.0032168154 0.000742384 0.0016695452 0.0006310264 0.0008545604 0.0014148966 0.000915425 0.0005838086 0.00061956316 0.0005054762 0.00057616644 0.00051093486 0.0006501319 0.0007333771 0.0016206898 0.0003400774 0.00040858414 0.00019978864 0.00022162346 0.00017904556 0.0003973938 0.0003741943 0.00013155481 0.0001020778 0.00014574744 0.00012718784 0.000118180986 0.00010999293 0.00012254795 0.00043205658 9.880258e-05 7.260079e-05 9.088746e-05 4.4488454e-05 0.00011708924 1.0917412e-05 1.2827959e-05 1.1736218e-05 1.0644477e-05 1.2827959e-05 1.44655705e-05 1.1190347e-05 1.39197e-05 1.0371541e-05 1.5011441e-05 1.1190347e-05 0.00012855252 1.5557313e-05 4.066736e-05 3.5208654e-05 2.3745371e-05 3.0295818e-05 9.061452e-05 5.8135218e-05 2.0470148e-05 1.3100895e-05 2.156189e-05 1.5284377e-05 1.4192636e-05 1.7467859e-05 1.44655705e-05 1.9651341e-05 0.0012969886 0.0009563653 0.0008753035 0.0009380786 0.0008933172 0.0009287988 0.0008952278 0.0010742734 0.0009836588 0.00081553066 0.00091788144 0.0009861152 0.0009484502 0.00095581944 0.0010524385 0.0016919259 9140.0 15.216302 139077.0 0.0019413707 0.00014380523 0.00046017673 0.0010785392 0.00011504418 0.00012223444 6.471235e-05 5.752209e-05 7.1902614e-05 6.471235e-05 4.314157e-05 4.314157e-05 0.0015890478 0.00016537601 0.0037317458 7.9092875e-05 0.004177542 0.008649885 0.0046880506 0.0035807502 0.0039977855 0.0026244454 0.002286503 0.0025741137 0.002092366 0.0023008836 0.00015099549 0.00011504418 0.0002804202 0.0012439153 0.0002804202 0.00012223444 6.471235e-05 0.0077151507 0.0053423643 0.010907627 0.030673655 0.0044363914 0.011878312 0.0047959043 0.001955751 0.007319686 0.0004457962 0.0015027646 0.014775988 0.0034585157 0.0065215672 0.0026603967 0.0140282 0.00060398196 0.0064280936 0.011180856 0.007650438 0.0012223445 0.0029767682 0.0023584059 0.0004098449 0.0010929197 0.00015099549 8.628314e-05 0.00010066366 4.314157e-05 2.8761046e-05 0.057522092 5.033183e-05 0.055760477 0.02994025 0.025115583 0.02555419 0.13601817 0.0053207935 0.027589034 0.006909841 0.033636045 0.0009419243 0.0061117224 0.03850385 0.0220022 0.04102763 0.033039253 0.012439152 0.0014740037 0.043860596 0.04291867 0.08922396 0.025367243 0.004767143 0.003659843 0.00521294 0.013438599 0.0005033183 5.033183e-05 7.1902614e-05 0.00011504418 7.9092875e-05 2.1570784e-05 5.0143847 1.0 0.0 0.0 4.0 1833472.0 1851392.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1485198100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 0.0 4.0 0.0 6.0 0.0 1826304.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1826304.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.562528 0.0 4.7769628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1825992.0 0.0 5872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1834096.0 5872.0 1835008.0 0.0 0.0 0.0 0.0 12.0 1843200.0 28.0 1833784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0