Input: 0.05362099 0.004452354 0.004015471 0.0037070827 0.0042403373 0.0035464638 0.0038227283 0.00364926 0.003931949 0.0035271896 0.0035978619 0.0034436677 0.0037649055 0.0036878083 0.003565738 0.00508198 0.004503752 0.00404117 0.0034179688 0.003777755 0.00404117 0.0037327816 0.0034693668 0.0029553864 0.0037070827 0.0036878083 0.0035464638 0.0036813836 0.0042146384 0.0038612767 0.0035785877 0.0036235608 0.0046193977 0.0038355778 0.004876388 0.0038484272 0.0037520558 0.003777755 0.0039961967 0.0034757915 0.0034693668 0.003250925 0.0034757915 0.0036878083 0.0037199322 0.0035271896 0.0037970291 0.0035271896 0.005942897 0.005409642 0.0058208266 0.0058529503 0.0055831107 0.0044330796 0.0047350433 0.0044909026 0.004612973 0.0049470603 0.0045615747 0.00429816 0.0056987563 0.004850689 0.0046772202 0.004400956 0.0055895355 0.004914936 0.004850689 0.004484478 0.0058722245 0.004914936 0.004741468 0.0044138054 0.0047800164 0.004638672 0.004291735 0.004188939 0.004895662 0.0047093444 0.004593699 0.004452354 0.004484478 0.0051205284 0.0038934005 0.0039704978 0.0037713302 0.004086143 0.0035978619 0.003437243 0.003989772 0.0036107113 0.0037970291 0.0036428352 0.0049277856 0.004445929 0.0036042866 0.0036428352 0.004054019 0.0044652037 0.0036107113 0.0038098786 0.004169665 0.0047735916 0.0037584808 0.0037584808 0.0032380756 0.0042339126 0.0036235608 0.0031417042 0.004137541 0.0033986946 0.0039126747 0.004266036 0.0033729954 0.0034565174 0.0041953637 0.0037520558 0.0043302835 0.0038034539 0.0037199322 0.0033858449 0.0033729954 0.0034436677 0.0034757915 0.0034243935 0.0038934005 0.004015471 0.0041246917 0.0035978619 0.0043110093 0.003957648 0.0029104133 0.0033215974 0.0030838817 0.002993935 0.0030967311 0.0031031559 0.0031931023 0.0034500926 0.003199527 0.0033986946 0.0032123767 0.0035336143 0.0029039886 0.0028975636 0.0034436677 0.0031417042 0.0031481292 0.003045333 0.0030967311 0.003071032 0.0031352795 0.002659848 0.003019634 0.003045333 0.0030774567 0.00312243 0.0031288548 0.003205952 0.002833316 0.003231651 0.0034693668 0.0032380756 0.004015471 0.004266036 0.0038098786 0.0030324836 0.0031738281 0.0027433697 0.0031031559 0.003019634 0.00312243 0.0027626439 0.0033151726 0.0032766243 0.004169665 0.0034243935 0.003199527 0.0031802529 0.0030132092 0.0030132092 0.0034565174 0.0032123767 0.0031738281 0.003019634 0.0033858449 0.00312243 0.0031866776 0.003745631 0.003071032 0.0031031559 0.002968236 0.0030646073 0.0044716285 0.0039126747 0.003488641 0.004355983 0.002993935 0.0026405735 0.003360146 0.0029875103 0.003540039 0.0031802529 0.0030774567 0.0033794201 0.0030903064 0.003071032 0.00312243 0.0031417042 0.0036428352 0.0035271896 0.00312243 0.003026059 0.0035850124 0.003250925 0.0034179688 0.003199527 0.0037070827 0.003617136 0.0034243935 0.0031931023 0.0031866776 0.003957648 0.0035336143 0.003026059 0.0038420025 0.0035143401 0.0029104133 0.0030389084 0.0034051193 0.0028268914 0.0032252262 0.003308748 0.0037327816 0.004291735 0.003250925 0.0034693668 0.0034051193 0.0029618114 0.0032123767 0.0033858449 0.0033922698 0.002942537 0.0033665707 0.0031160053 0.0032252262 0.0028718647 0.0029875103 0.0032766243 0.003360146 0.0032445004 0.0031674034 0.003154554 0.003334447 0.0032380756 0.003437243 0.008519223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010464094 0.00014874793 0.0002425238 6.467301e-05 0.00039773903 3.2336506e-05 0.0002231219 0.00038803808 0.00046241205 3.2336506e-05 0.00022635555 3.2336506e-05 0.0001843181 9.700952e-06 0.00031689776 1.9401905e-05 0.0108488975 0.0 3.2336507e-06 0.011152861 0.011026748 3.2336507e-06 6.1439365e-05 1.6168253e-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 0.0016491618 3.5570156e-05 4.527111e-05 0.0031301738 0.0012384882 1.6168253e-05 0.00011641142 0.000119645076 9.700952e-06 1.6168253e-05 4.203746e-05 2.9102855e-05 1.9401905e-05 0.0 0.00012611237 2.9102855e-05 0.0016814984 0.0 9.700952e-06 0.0010541701 0.0015262831 0.00018108444 0.0014648438 0.00070493587 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052255793 0.0007857771 0.00024575746 0.00019078539 0.0009991981 0.00052708504 0.002535182 0.0012190863 0.00019401904 0.00015198159 0.00020371999 0.00015521524 0.00018755173 0.0001843181 0.00020371999 0.0002360565 0.007935379 0.00013904698 0.00064349646 0.00046887936 0.0013548996 0.0007469733 0.0012384882 0.000333066 0.0007146368 0.0003589352 0.0006628984 2.5869205e-05 0.0006467301 0.0004462438 0.00086338475 0.0032886227 0.004850476 0.0013775352 0.000805179 0.0028941173 0.0011026749 0.00048828125 0.0019369568 0.002379967 0.0006305619 0.0002101873 0.00042360823 0.00034276696 0.0001972527 0.0002813276 0.0015165822 0.00043007554 0.003673427 0.00096686155 0.00088278664 0.0012190863 0.0014745448 0.0014389745 0.0004850476 0.0003686362 0.00045594474 0.00021342095 0.00025869205 0.00021665459 0.00038157078 0.00045917838 0.00036216888 0.00038803808 0.0037639693 0.0004850476 0.000601459 0.0011770489 0.0010509364 0.0007211041 0.000536786 0.00050768314 0.0019175549 0.0004527111 0.00089572126 0.0009377587 0.0023185275 0.0013710678 0.001147946 0.001982228 0.059580013 0.0560424 0.05727442 0.059279285 0.056336664 0.060016558 0.053807948 0.053481348 0.048339844 0.04801001 0.051311567 0.04930024 0.04997607 0.051806316 0.049413417 0.050328538 1581.0 6.988615 11049.0 0.0057923794 0.0045252964 0.022083446 0.004977826 0.0047063082 0.0066069327 0.011675265 0.005068332 0.0053398497 0.0047063082 0.005068332 0.004796814 0.0042537786 0.0046158023 0.0066069327 0.0054303557 0.02154041 0.021178387 0.023893565 0.022173952 0.020182822 0.013937913 0.012308806 0.011765771 0.012761336 0.0119467825 0.01022717 0.0122183 0.028418861 0.012308806 0.012851842 0.0106796995 0.011132229 0.017377138 0.013575889 0.013485383 0.024165083 0.0143904425 0.013213865 0.014933478 0.012489818 0.015386008 0.011132229 0.010860711 0.015023984 0.011584759 0.0143904425 0.010770205 0.009955652 0.021630917 0.007421486 0.008598063 0.0057923794 0.005158838 0.006335415 0.0058828853 0.008326545 0.0055208616 0.0059733912 0.005158838 0.0122183 0.014028419 0.005249344 0.005158838 0.0066069327 0.013847407 0.0068784505 0.0094126165 0.012127794 0.02488913 0.0059733912 0.007421486 0.0053398497 0.014028419 0.0055208616 0.0047063082 0.013032854 0.006516427 0.010589194 0.013575889 0.0057923794 0.0054303557 0.0143904425 0.011132229 0.015204996 0.009503122 0.004796814 0.0055208616 0.0047063082 0.008055028 0.004977826 0.0042537786 0.006516427 0.0053398497 0.008236039 0.0047063082 6.3922663 0.0 0.0 0.0 4.0 155648.0 204800.0 0.0 0.0 96.0 1.0 1.0 0.0 0.0 0.0 1096501600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 6.0 4.0 5.0 0.0 4.0 0.0 10240.0 1024.0 4096.0 5.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59392.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9551644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2894754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.5294042 0.0 3.7398207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89709.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59626.0 0.0 3384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 5964.0 3384.0 40960.0 0.0 0.0 0.0 0.0 36.0 4144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.018401012 0.004663691 0.0045091505 0.004329807 0.0043805577 0.003923804 0.003972647 0.003916173 0.004629349 0.003844817 0.00383108 0.0038440537 0.004209609 0.0038356588 0.0038123825 0.004419479 0.0042611226 0.0037181317 0.0037318687 0.0036948551 0.0039009093 0.0037585795 0.003747132 0.0036952368 0.0039051068 0.0036746315 0.0037482767 0.0038341326 0.0039253305 0.0036887499 0.003724237 0.0037604873 0.004252346 0.0036044205 0.0035983152 0.0037360662 0.0040775817 0.0036315126 0.0035899202 0.003682263 0.00385283 0.0038745801 0.0035387883 0.003749803 0.0038188694 0.0039226594 0.003733395 0.003611289 0.003961962 0.0036940922 0.0037322503 0.004087121 0.0037391188 0.0036647103 0.003693329 0.0037105002 0.0038627512 0.003820014 0.003682263 0.0041115424 0.0038211588 0.0038184877 0.0037143158 0.0038371852 0.0038673303 0.004022634 0.0044343607 0.0039470806 0.0037913953 0.004231359 0.0039508967 0.0037246186 0.0037265266 0.0036483023 0.0036227363 0.0035998414 0.0036937105 0.0038959489 0.0038100928 0.0036837894 0.0042412803 0.0037906324 0.003675013 0.0038287905 0.003605565 0.0037894875 0.004005081 0.0038406195 0.0037574347 0.004010423 0.0037581979 0.0037883427 0.0037429344 0.003911212 0.004008897 0.0038058956 0.0036345653 0.0040722396 0.003692184 0.0038734355 0.0037105002 0.004353847 0.0040501077 0.0037402634 0.0040314104 0.0042531095 0.0040527787 0.003636855 0.0039768443 0.0038432905 0.003918844 0.004059266 0.0039901994 0.0036616577 0.0042985175 0.004075292 0.0047980077 0.0046469015 0.0038100928 0.003855501 0.0041187922 0.0037082105 0.0036551708 0.0037028685 0.0037440793 0.003774606 0.0038131454 0.0035261961 0.00397837 0.0037650664 0.0037673558 0.004945298 0.003955094 0.0044526765 0.0037696452 0.0037768953 0.003749803 0.0043156887 0.0036437232 0.005911845 0.0036948551 0.0041779377 0.0037040133 0.0036017494 0.0036353285 0.0035498543 0.0036017494 0.0035487094 0.0036918025 0.0036070915 0.0037036317 0.003549091 0.003585723 0.003455985 0.003513604 0.0035971703 0.0037894875 0.0036082363 0.0037043947 0.003597552 0.0037822374 0.0038421457 0.0035120777 0.003751711 0.0035819071 0.0036658552 0.0036307494 0.003574657 0.0036509733 0.0036109074 0.0034765906 0.0036006046 0.003612052 0.0036460129 0.0036334207 0.0035723676 0.0036902763 0.0036673814 0.003499104 0.0035944993 0.0036837894 0.0036582234 0.0037356846 0.0037417898 0.003820014 0.0037280528 0.0035964071 0.0036723418 0.0036696708 0.0036662365 0.003723474 0.0035941177 0.0045839404 0.0039657783 0.0039985944 0.004230596 0.0039993576 0.003782619 0.0037982638 0.0041123056 0.0038265008 0.0036719604 0.0037043947 0.0036273154 0.0040287394 0.0035399331 0.0037131712 0.0037112632 0.0038486326 0.003597552 0.0036647103 0.0036990526 0.0035906835 0.0035441306 0.0035872492 0.0036815 0.0038352774 0.0036589867 0.0036937105 0.003752474 0.0037528556 0.003692184 0.0036879869 0.0037658294 0.0041016215 0.003858172 0.0037513294 0.0036635655 0.003621973 0.0037997903 0.0035521437 0.0037669742 0.004853719 0.0037368292 0.0036360917 0.0040520155 0.003959291 0.003586486 0.003774606 0.003814672 0.004214188 0.0036563156 0.003648684 0.0036009862 0.0037185133 0.0035502359 0.0037230924 0.0039146463 0.00425082 0.003747132 0.0037257634 0.0037120264 0.0040668976 0.0035887756 0.003871909 0.008491718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00064404256 2.1379006e-05 2.4051384e-05 1.90884e-06 2.1188123e-05 1.336188e-05 1.4888951e-05 1.2025692e-05 2.481492e-06 7.63536e-07 6.68094e-06 1.1453039e-06 3.81768e-06 2.6723758e-06 1.527072e-06 9.925968e-06 0.0003075141 2.8632599e-06 5.7265197e-06 9.1624315e-06 7.0627075e-06 6.108288e-06 5.7265197e-06 4.390332e-06 5.7265197e-06 5.1538677e-06 8.398895e-06 4.008564e-06 4.7720996e-06 3.2450278e-06 3.4359118e-06 7.63536e-06 0.0007192509 1.7179559e-06 5.4211054e-05 3.054144e-06 6.1655526e-05 2.576934e-05 0.00017828564 9.65873e-05 7.63536e-06 2.481492e-06 3.626796e-06 1.90884e-06 3.054144e-06 2.8632599e-06 2.8632599e-06 7.826244e-06 0.0010454716 5.24931e-05 0.0001811489 1.9088398e-05 0.00020901798 0.000143163 0.00064671494 0.0003706967 2.0424586e-05 6.68094e-06 7.826244e-06 7.4444756e-06 7.4444756e-06 7.4444756e-06 5.535636e-06 5.9174035e-06 0.00179011 4.9057187e-05 0.00024280444 6.833647e-05 0.00026895554 0.00017427708 0.0009305595 0.0005071788 4.924807e-05 2.5960222e-05 3.970387e-05 2.6532874e-05 3.302293e-05 3.874945e-05 4.0467407e-05 0.00040620114 0.002221126 0.00020481853 0.0005071788 0.000109376524 0.00014411741 0.00013170995 0.0013856268 0.0008822658 8.952459e-05 6.184641e-05 5.631078e-05 5.5738125e-05 6.986354e-05 0.00010975829 0.00018229421 0.00043426108 0.0012088683 0.00011014006 0.0001515619 0.00086985837 0.00023497819 0.00017484973 0.0003420641 0.00024776743 0.000113575974 9.219697e-05 0.000115484814 0.00010078675 0.000119302495 0.000109376524 0.00021092681 0.00048942654 0.001281786 0.00011376686 0.00016549641 0.0003136224 0.00018630277 0.00013323703 0.000302742 0.00021550803 0.00029052544 0.00013896354 0.00014774421 0.00014373564 0.00019145664 0.00013190084 0.00022467045 0.0007097067 0.0062470604 0.0010485258 0.00092483294 0.001194552 0.001532035 0.001678252 0.0009322774 0.0013881084 0.003279196 0.0003313746 0.0004147909 0.0006270539 0.002063456 0.0005127144 0.0014367838 0.0029722545 0.0057456084 0.0012401732 0.0009360951 0.0011378594 0.0020069543 0.0021493537 0.0010401269 0.0016897051 0.0035655221 0.00046365723 0.00057456084 0.0006789744 0.0022537673 0.0008435164 0.0017574689 0.0036273685 0.059084512 0.05794417 0.057078704 0.0572463 0.05699987 0.056953102 0.057085194 0.05773897 0.057814945 0.05663375 0.05679486 0.057119742 0.057568513 0.05731712 0.057690296 0.056834564 12408.0 6.6242747 82194.0 0.017884517 0.007968952 0.008333942 0.008394773 0.009538409 0.008467771 0.008212279 0.00877193 0.00837044 0.012215003 0.008492104 0.008200112 0.008844928 0.008917926 0.013176144 0.008321775 0.008808428 0.008893593 0.008820595 0.009416746 0.009489744 0.0092342505 0.008163613 0.009441079 0.009538409 0.009465411 0.009063922 0.009587075 0.009708738 0.00950191 0.0091612525 0.009076089 0.008565102 0.009477577 0.009100421 0.008990924 0.0097452365 0.009209918 0.009915566 0.0093072485 0.008321775 0.009903399 0.00787162 0.008504271 0.009149087 0.008954425 0.009757403 0.008601601 0.012786821 0.008224444 0.0090882545 0.010645546 0.008552936 0.008455605 0.009112587 0.009185585 0.008942259 0.008516436 0.008711098 0.0081514465 0.00804195 0.007810789 0.00927075 0.010450885 0.008857094 0.018577999 0.011570187 0.014672603 0.015159258 0.026461786 0.010742877 0.011132199 0.010937538 0.018565832 0.008954425 0.008844928 0.016631383 0.0119838435 0.014648271 0.018286007 0.011850013 0.008492104 0.021266758 0.016947709 0.022653721 0.011801348 0.010073728 0.009623573 0.010840207 0.011387693 0.008066283 0.007895953 0.0071173077 0.0076039615 0.00804195 0.007506631 6.518859 0.0 0.0 0.0 44.0 2620671.0 323584.0 1.0 0.0 95.0 1.0 1.0 0.0 0.0 0.0 1513005000.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 125440.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125952.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.664911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1134152 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9306899 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.550617 0.0 7.40128 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45250.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125580.0 0.0 67828.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 174028.0 67828.0 245760.0 0.0 0.0 0.0 0.0 6072.0 315392.0 28.0 171552.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 171584.0 0.0 0.0 392.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.0851862 0.004439836 0.0039591054 0.00291962 0.0037841797 0.002914586 0.0028780908 0.0028516632 0.005749889 0.0027786726 0.0027207837 0.0025999718 0.0037955057 0.003625614 0.002448957 0.003672177 0.00502376 0.0024967783 0.0023117852 0.003468307 0.004526669 0.0040006344 0.0034557225 0.0034443964 0.0032153572 0.002457766 0.002523206 0.0024388894 0.0031499173 0.0024867107 0.0024514738 0.0026628945 0.0038697547 0.0023923265 0.002418754 0.0024779015 0.0077143405 0.0024300802 0.0026263995 0.0025924211 0.0033865073 0.002713233 0.0033487536 0.0025886458 0.003153693 0.0024137201 0.002501812 0.0023356958 0.0060695373 0.0053950045 0.005201202 0.0055132993 0.0059462087 0.00536606 0.005170999 0.005963827 0.0057889014 0.0053484417 0.006033042 0.005426466 0.006160146 0.005257833 0.006936614 0.0050401194 0.0035740174 0.0029674412 0.0036558171 0.0029070352 0.0042800116 0.0034796332 0.003120973 0.0029510814 0.04241377 0.00244644 0.002801325 0.0032153572 0.003848361 0.0030429487 0.0027610543 0.0024363725 0.003755235 0.0025987134 0.002363382 0.003104613 0.004512826 0.0028353033 0.0032455602 0.0038835977 0.0031260068 0.004188144 0.002402394 0.002771122 0.0034179688 0.002705682 0.0035526236 0.00247916 0.0031499173 0.002815168 0.002435114 0.0027019067 0.0032933815 0.0032606616 0.004890363 0.010318087 0.010465327 0.011855922 0.01090327 0.008672026 0.005518333 0.0026666701 0.003926385 0.0028478878 0.004471297 0.002363382 0.0031247484 0.002705682 0.004895397 0.003966656 0.0024816769 0.0024426647 0.0032669539 0.0036381986 0.0024338556 0.0025659935 0.0034167103 0.0026930976 0.0026566023 0.002490486 0.003584085 0.0027698635 0.0025697688 0.0040119602 0.0052100113 0.0034695654 0.002432597 0.0025043292 0.0034834086 0.0050766147 0.0027094577 0.006068279 0.0034091596 0.0031713112 0.003424261 0.00244644 0.0041529075 0.0025584428 0.0026477932 0.002520689 0.0034141934 0.0024225295 0.002448957 0.0023759664 0.0030555332 0.0035387806 0.003625614 0.0024388894 0.00506403 0.0024225295 0.0024854522 0.0023369542 0.0031285237 0.0034834086 0.0033651136 0.0023885511 0.0040094433 0.0023810004 0.002404911 0.0023709326 0.0043177656 0.0025634766 0.003382732 0.0024011356 0.0031159392 0.0022551545 0.0024879691 0.0025156552 0.0031549514 0.0023835173 0.0026905807 0.002382259 0.0042384826 0.002564735 0.0025005536 0.0023105268 0.003280797 0.002506846 0.0035224208 0.0023646404 0.00309077 0.003575276 0.0024628001 0.0026188486 0.004054748 0.0028415956 0.0028529216 0.0030970622 0.00346579 0.0023847758 0.0027119746 0.003322326 0.0031700528 0.0026427594 0.0035261961 0.002465317 0.0044536786 0.0025659935 0.002576061 0.0034720823 0.0031297822 0.0027497283 0.0025659935 0.0036432326 0.003076927 0.0024703508 0.0025634766 0.0024892276 0.004205763 0.002638984 0.002432597 0.0023835173 0.003005195 0.002460283 0.0024539907 0.0025735442 0.004336642 0.0024628001 0.0026477932 0.0025521505 0.003477116 0.0025924211 0.002810134 0.0034519471 0.004569457 0.0028705401 0.0024401478 0.0038231919 0.0035148698 0.0023734495 0.0025156552 0.0024992952 0.0033537874 0.0023696742 0.0034783746 0.0025496336 0.003176345 0.0025005536 0.0036797277 0.0029347213 0.0036369401 0.0025559259 0.002537049 0.0026289164 0.0036017036 0.0028931922 0.0037917304 0.008659441 0.010322581 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011655746 1.2600807e-06 8.820564e-06 5.670363e-06 1.4490927e-05 5.040323e-06 6.237399e-05 2.5831654e-05 0.0 0.0 6.3004035e-07 6.3004035e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022171119 4.4102824e-05 3.717238e-05 8.190525e-06 5.670363e-05 1.638105e-05 4.4102824e-05 3.654234e-05 1.2600806e-05 6.9304438e-06 5.040323e-06 7.560484e-06 4.22127e-05 2.2681452e-05 1.0710685e-05 1.2600806e-05 0.005078125 6.363407e-05 6.489416e-05 0.00017011088 0.00019279234 6.8674395e-05 0.00022555444 0.00019657258 0.000105216735 3.0241936e-05 2.2051412e-05 1.7641129e-05 3.5282257e-05 2.142137e-05 3.3392138e-05 0.00012600806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018101059 3.90625e-05 4.4732864e-05 2.9611896e-05 0.0001266381 3.2132055e-05 0.00011025705 0.000108366934 9.3245966e-05 1.638105e-05 1.3230847e-05 8.820564e-06 1.19707665e-05 1.19707665e-05 1.5120968e-05 0.000108996974 0.0023928932 5.607359e-05 4.9773185e-05 0.0003559728 0.00019468246 5.670363e-05 0.00018460181 4.7883066e-05 0.00010269657 0.000103956656 6.048387e-05 5.544355e-05 5.9223792e-05 4.347278e-05 5.1663308e-05 5.544355e-05 0.0040908516 0.00020350302 0.00044417844 0.00015814012 0.00061491935 0.00032006047 0.0015354083 0.00082850305 0.0003345514 6.8044355e-05 5.9223792e-05 5.607359e-05 0.0001108871 5.3553427e-05 6.9934475e-05 8.44254e-05 0.001529738 2.7721775e-05 0.0002469758 0.00012915826 0.0003030494 0.0001827117 0.0014270414 0.0007402974 0.0001140373 7.245463e-05 3.0241936e-05 2.8351815e-05 2.4571573e-05 2.9611896e-05 3.0241936e-05 0.00024508568 0.003956653 0.0025604838 0.002563004 0.043385208 0.0026323085 0.0025982864 0.0027091734 0.0026442793 0.0026297884 0.0026272682 0.0025705646 0.0025516632 0.002577495 0.002607107 0.0025787551 0.0026789315 0.045451738 0.007079133 0.0032169858 0.005170111 0.04170993 0.00515625 0.04406439 0.0033637853 0.003327243 0.0061277724 0.0061170617 0.0040851813 0.0041563762 0.0031760333 0.004233241 0.00453251 0.008197455 0.0012846523 0.0026600303 0.0013785282 0.0026373488 0.0021118952 0.00084425404 0.0017237903 0.005858115 0.00061176915 0.000390625 0.0008171623 0.0022240423 0.0008247228 0.0017779738 0.0040769908 0.010231225 0.0021106352 0.0026209678 0.0025699346 0.0034173387 0.00359312 0.0016784274 0.0030122227 0.0069928174 0.00089402724 0.00060357864 0.0012846523 0.0033543347 0.0014642137 0.0032774697 0.005798261 0.03893901 0.03669544 0.03705519 0.03736643 0.038097277 0.03686051 0.036924142 0.036936115 0.036838457 0.037009828 0.036756553 0.036788683 0.03704259 0.036624245 0.036919102 0.03669481 3430.0 12.9163265 44303.0 0.01990836 0.0028891948 0.0033632035 0.0033857753 0.015055414 0.003160057 0.0036340654 0.003272916 0.0144008305 0.0036566372 0.003295488 0.0030246258 0.014671693 0.0039049275 0.0035663499 0.0030923414 0.033902895 0.022233257 0.02189468 0.021714104 0.032887165 0.02175925 0.021375528 0.021194953 0.033022594 0.02175925 0.020630658 0.021804392 0.03225515 0.021578673 0.021172382 0.02078866 0.01476198 0.004220933 0.0030923414 0.0048755165 0.015777713 0.004220933 0.0041306457 0.005010947 0.015281132 0.0039049275 0.003950071 0.003972643 0.015348848 0.0044917953 0.0044466513 0.0036340654 0.016658014 0.0038823555 0.0035212063 0.009389883 0.0154165635 0.0036114936 0.0067941225 0.0062749702 0.01390425 0.003950071 0.003701781 0.00381464 0.013971966 0.0029569103 0.0031826287 0.0037694965 0.014942555 0.008893303 0.004220933 0.006568404 0.017244881 0.015100557 0.004627226 0.004220933 0.015551995 0.009999323 0.0035663499 0.0040403586 0.018915197 0.005484956 0.009570458 0.010225041 0.016816016 0.0036114936 0.009886464 0.007064984 0.024783874 0.0067941225 0.003837212 0.003543778 0.01573257 0.00406293 0.003837212 0.0031149131 0.014378259 0.002753764 0.0029117668 0.0035212063 6.166885 0.0 0.0 0.0 8.0 794624.0 806912.0 0.0 0.0 161.0 1.0 1.0 0.0 0.0 0.0 1047036900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 5.0 0.0 5.0 0.0 225280.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 487424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 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 -5.983734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9884105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.855361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6832647 0.0 3.4903595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66410.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 484982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -72758.0 0.0 1496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -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 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 558580.0 1496.0 733184.0 0.0 0.0 6904.0 794624.0 65968.0 737280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.014674057 0.004018447 0.003232694 0.004357859 0.0038756453 0.0032485607 0.0035817642 0.0045862035 0.00415366 0.0037411223 0.0034396525 0.0034024 0.004050181 0.0033961912 0.004042592 0.004078465 0.0033955015 0.003472766 0.003542442 0.0032616681 0.0035452014 0.003893582 0.003487253 0.0033168572 0.004359239 0.004366827 0.0034079188 0.003882544 0.004708309 0.0040846737 0.0039011703 0.0035721061 0.0039998204 0.003141632 0.0031533598 0.004517217 0.004667607 0.0034769052 0.0032451116 0.0039949915 0.0031140377 0.0034306843 0.0039039298 0.004216437 0.0036604085 0.0038356334 0.0036811044 0.0032188967 0.003647301 0.0040039597 0.0039604986 0.00395222 0.0035562392 0.0039204867 0.0037666473 0.003467937 0.0045206663 0.0046462216 0.0038446016 0.0039791246 0.004317847 0.004168147 0.003817697 0.0035934919 0.0035865933 0.0037521601 0.0032340738 0.003472076 0.0029457114 0.0037114583 0.0044054594 0.0040205163 0.0039604986 0.004557919 0.0037293946 0.003938423 0.0031561193 0.0038239057 0.0041364133 0.0043109483 0.0035734859 0.003576935 0.0039391126 0.0037500905 0.003696971 0.0040315543 0.0042454116 0.0041253758 0.0038232158 0.003768027 0.0041198567 0.004179185 0.0040074093 0.003867367 0.0038515003 0.0034051596 0.0036493707 0.0034272352 0.0034506903 0.004423396 0.003974986 0.0037963113 0.0035934919 0.0040101684 0.0034941516 0.004335094 0.004115028 0.004324746 0.0035997005 0.004377865 0.004088813 0.00375285 0.004106059 0.004529635 0.004307499 0.0046000006 0.0037735458 0.004168837 0.0039584287 0.0040391427 0.0041715964 0.00415159 0.004027415 0.003907379 0.0036065993 0.0038756453 0.003547271 0.0035555493 0.0035762454 0.0035741758 0.003812868 0.0039708465 0.003177505 0.0037687167 0.003632814 0.003507259 0.0033499706 0.003736983 0.0039604986 0.004296461 0.004813858 0.0039998204 0.004717967 0.0037790649 0.0037838938 0.0042819744 0.004582064 0.0040901927 0.003376875 0.004198501 0.0041012303 0.0035610683 0.0032568392 0.0033920521 0.0040356936 0.003432754 0.004583444 0.0036431619 0.004557919 0.0037935518 0.003192682 0.0034217162 0.0031002404 0.0038715063 0.0037638878 0.0040950216 0.0036155675 0.004307499 0.00370318 0.004028105 0.003592112 0.003994302 0.0038066593 0.004341992 0.004076395 0.0039949915 0.0033589387 0.0039053096 0.0036486809 0.0036059094 0.004208159 0.0043516504 0.0041874633 0.004328195 0.004022586 0.004067427 0.0036431619 0.0038446016 0.003863918 0.0037604384 0.0035596886 0.0034858733 0.003962568 0.0039453213 0.003312028 0.0037990708 0.0037618182 0.0036466112 0.0044813445 0.0046068993 0.004038453 0.0041212365 0.0037659574 0.0038715063 0.0034251655 0.003687313 0.004123306 0.0043951115 0.0033430718 0.003376875 0.0040605287 0.004238513 0.0041350336 0.0036397127 0.0041895327 0.0040177573 0.0037149077 0.0035817642 0.0043461313 0.004181254 0.004117787 0.003848051 0.003887373 0.0035010504 0.0041398625 0.0036686868 0.0038356334 0.00445444 0.004363378 0.0039266953 0.003967397 0.004517217 0.00345207 0.0041046795 0.003897721 0.0040370733 0.0034865632 0.0042350637 0.0038149375 0.003533474 0.0038204566 0.0040074093 0.0038556394 0.0038846137 0.0038170072 0.004027415 0.0038425322 0.0035790047 0.0037535399 0.003638333 0.0037694066 0.0034706963 0.003912208 0.003357559 0.0035997005 0.0040715663 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00052212254 9.2545524e-05 7.597021e-06 7.94234e-06 7.251702e-06 7.251702e-06 7.251702e-06 7.251702e-06 6.5610634e-06 5.8704254e-06 5.8704254e-06 5.8704254e-06 6.215744e-06 5.8704254e-06 5.8704254e-06 5.8704254e-06 0.002312257 0.00042543316 7.079042e-05 0.0001533217 7.700617e-05 5.974021e-05 0.00017196893 9.1509566e-05 3.8675742e-05 1.6229998e-05 2.417234e-05 1.6920638e-05 2.1409785e-05 1.6575319e-05 2.002851e-05 2.002851e-05 0.0018022206 0.00014227148 9.392681e-05 5.1107232e-05 5.1107232e-05 5.2833828e-05 0.0002614066 0.00012535084 4.074766e-05 1.8647233e-05 2.1409785e-05 3.3495955e-05 3.211468e-05 2.5208297e-05 2.8316168e-05 4.869e-05 0.00079457933 5.7322977e-05 2.7280212e-05 2.6589572e-05 7.8042125e-05 4.005702e-05 0.00017300488 8.771106e-05 2.002851e-05 1.208617e-05 1.588468e-05 3.07334e-05 1.3812765e-05 1.1740851e-05 1.34674465e-05 1.208617e-05 0.0006222651 2.762553e-05 5.3869786e-05 2.5553616e-05 7.079042e-05 5.835893e-05 0.00022998254 0.00012155234 2.2791062e-05 2.7280212e-05 2.4517658e-05 4.869e-05 1.7611275e-05 1.7611275e-05 2.1409785e-05 2.4517658e-05 0.00097207335 5.179787e-05 3.4531913e-05 3.522255e-05 8.114999e-05 9.461744e-05 6.595595e-05 7.873276e-05 0.00011050212 4.6963403e-05 2.9352126e-05 2.382702e-05 5.6632336e-05 0.0002254934 5.6977657e-05 0.00015781085 0.0008260034 6.457468e-05 3.591319e-05 4.4546166e-05 8.322191e-05 0.000117408505 9.116425e-05 8.184063e-05 0.00012983999 4.074766e-05 3.7985104e-05 8.322191e-05 0.00012880404 7.251702e-05 8.5984466e-05 0.00019786786 0.0029445363 0.000599474 0.00025001104 0.00043268487 0.00086018996 0.0007569395 0.00041369232 0.00057322974 0.0018502199 0.0001823285 0.0001408902 0.00042336126 0.00066508463 0.00044856954 0.0005286836 0.0009527355 0.0011285029 0.00026762232 0.00019165211 0.00028005382 0.00052799296 0.00039642636 0.00020719148 0.0003301251 0.0008550102 8.287659e-05 6.526532e-05 0.00012604149 0.00037881508 0.00012500552 0.00026244254 0.00043268487 0.05949158 0.0584867 0.05850535 0.062143285 0.05892215 0.060404602 0.06078791 0.06284325 0.058641404 0.062273126 0.060583133 0.061092135 0.061673306 0.06127446 0.062450964 0.05860204 6805.0 5.826157 39647.0 0.010694378 0.009004464 0.008096451 0.011148385 0.011375388 0.009811588 0.0071632154 0.009029687 0.008071229 0.009508916 0.010063813 0.010164703 0.009483693 0.010139481 0.01187984 0.008500013 0.010820491 0.009105355 0.01119883 0.008777461 0.009584584 0.009357581 0.009559361 0.009458471 0.0115015 0.012636517 0.00983681 0.010770045 0.011476278 0.012005952 0.008827906 0.008247787 0.007390219 0.009988145 0.008298232 0.009685474 0.007541554 0.009962923 0.012132065 0.010316039 0.009408026 0.01198073 0.009559361 0.0116023915 0.008197341 0.01119883 0.011703282 0.0109718265 0.00983681 0.009054909 0.011854617 0.008071229 0.009458471 0.010316039 0.010643933 0.010921381 0.008903574 0.009962923 0.010568265 0.010896158 0.0103664845 0.010316039 0.009357581 0.008727016 0.0091558 0.011425833 0.009761143 0.011678059 0.012964411 0.015612783 0.009357581 0.01129972 0.009660251 0.014755215 0.01109794 0.014023759 0.011753727 0.013973314 0.013746311 0.01208162 0.013065301 0.010845713 0.0134940855 0.012434737 0.012636517 0.011324943 0.009534139 0.010997049 0.009862033 0.010820491 0.009887255 0.010694378 0.0078190025 0.01051782 0.008525236 0.008701793 6.567241 2.0 1.0 0.0 40.0 1449565.0 65536.0 1.0 0.0 57.0 1.0 1.0 0.0 0.0 0.0 1504772100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 23552.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18944.0 0.0 0.0 0.0 0.0 0.0 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 -23552.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0740695 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.700116 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7110292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.647057 0.0 5.334514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18730.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -97.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23059.0 0.0 8000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 45944.0 8000.0 53248.0 0.0 0.0 0.0 0.0 604.0 61440.0 84.0 45520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 256.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.022046363 0.004408012 0.0032896395 0.004270754 0.0036436392 0.003122619 0.0037787962 0.0045442195 0.0038463748 0.003091456 0.0025728869 0.0038369207 0.0042129797 0.0034923751 0.0041009323 0.0056990073 0.0030949572 0.002599498 0.0022237892 0.00371682 0.002587593 0.0026796819 0.0032724822 0.003917805 0.003430399 0.0036404878 0.0029538476 0.0038047072 0.0040403567 0.0041443505 0.00404771 0.004857952 0.0031282213 0.0023824063 0.002277712 0.0033327078 0.0026688273 0.0023897595 0.0034254969 0.0041842675 0.0028018835 0.0027118956 0.0023925607 0.0036135265 0.0029864116 0.0033978352 0.0034573604 0.0043572406 0.0033159007 0.0031184172 0.0035995205 0.00421438 0.003307147 0.0026495692 0.0038582797 0.0039503686 0.004242742 0.0037021139 0.004441976 0.004425169 0.0047882725 0.0041233418 0.0048477976 0.005225607 0.0036177281 0.0032675802 0.0027787737 0.0041394485 0.0034622625 0.004719293 0.0031639365 0.0044097626 0.0026499194 0.0029696045 0.0024730947 0.0031530818 0.0033152003 0.00475886 0.004038606 0.004443377 0.0034419538 0.0029324887 0.0024874506 0.0034388024 0.0023995636 0.0038145112 0.0033225534 0.0044780415 0.002767919 0.003484672 0.0027941803 0.0036534432 0.0036236807 0.0042854603 0.004230137 0.0049535423 0.0030714974 0.0031450284 0.0025728869 0.0038344697 0.003561004 0.0038890927 0.0032185595 0.004211579 0.003759538 0.003780897 0.0028827677 0.003529491 0.0035946183 0.0040977807 0.003738529 0.00456873 0.004069069 0.0037879 0.0038750868 0.004064167 0.005454254 0.004860753 0.003927609 0.0041916207 0.0045445696 0.004304718 0.003982582 0.0038719354 0.004915026 0.004815934 0.0050722426 0.004623353 0.0034787194 0.0034832712 0.0027700202 0.0058009005 0.0028894206 0.0039503686 0.0030641444 0.004069069 0.0026502695 0.004647863 0.0025228157 0.008663009 0.0034072893 0.0046040947 0.003991336 0.0044664866 0.0028141388 0.0031621857 0.0024422817 0.0039927363 0.0031751413 0.0035165353 0.0028659606 0.0037886002 0.002802934 0.0032668798 0.0026502695 0.0037707428 0.0037777456 0.0041341963 0.0042868606 0.004656267 0.0035217877 0.0034416036 0.0026712783 0.003946167 0.0030532896 0.0031478296 0.002995165 0.004265852 0.002618406 0.0028018835 0.002351243 0.003679004 0.0028403997 0.0032311648 0.0038554785 0.0043999585 0.0029706548 0.003096708 0.0031481797 0.0034552596 0.0038743864 0.003316601 0.0040179472 0.0038519772 0.003653093 0.0034034376 0.0037444816 0.0039517693 0.00430787 0.0040466595 0.0046842787 0.0047070384 0.004408012 0.004249395 0.0035235384 0.0045326645 0.0033316573 0.0033873308 0.0040494604 0.0047084386 0.0038113599 0.00395422 0.0041797156 0.0035490992 0.005036177 0.0032948917 0.003844974 0.0044850446 0.004216831 0.004124042 0.0038925942 0.004045959 0.0031663876 0.0035823632 0.003169539 0.0041576563 0.0035757103 0.0035224878 0.004311371 0.004022149 0.0034955265 0.0039636744 0.0040799235 0.0045680297 0.004884213 0.0044248193 0.0036184285 0.0043288786 0.004264451 0.0045183087 0.003371224 0.004168511 0.0064073564 0.0046415604 0.004160107 0.0044062613 0.00430892 0.004240291 0.0037248733 0.00452216 0.005789696 0.0043715965 0.00504283 0.0040662675 0.0051797377 0.00421473 0.0040161964 0.004313122 0.005605518 0.0046821777 0.0052830316 0.0041180896 0.0056384318 0.0048446464 0.0049871565 0.009428432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00028564804 9.282247e-06 1.05082045e-05 1.0508205e-06 1.1383889e-05 6.6551966e-06 1.0157932e-05 6.830333e-06 1.7513674e-06 1.2259572e-06 4.3784185e-06 1.401094e-06 7.00547e-07 2.802188e-06 1.0508205e-06 3.8530084e-06 0.00040736806 1.7513675e-07 3.9405768e-05 0.0 4.028145e-06 2.802188e-06 0.00018126653 8.1613725e-05 0.0 0.0 0.0 0.0 1.7513675e-07 0.0 5.2541026e-07 0.0 0.0025331778 3.327598e-05 0.00011331347 1.3485529e-05 0.00031822347 6.725251e-05 0.00023328215 0.00015447062 3.9580904e-05 3.4151664e-05 3.607817e-05 3.5727895e-05 1.611258e-05 1.8214221e-05 1.7863948e-05 0.0002812696 0.0021308889 3.222516e-05 0.00012872551 3.7829537e-05 0.00024361521 7.5659074e-05 0.0003536011 0.0001863455 2.7146196e-05 4.7462057e-05 2.2417504e-05 3.0473793e-05 1.9790452e-05 2.2417504e-05 3.975604e-05 0.00018844714 0.0030004426 0.000103505816 0.00030771527 0.0001672556 0.00059546495 0.0001749616 0.0011476711 0.0007166596 6.637683e-05 4.150741e-05 0.0001553463 7.408285e-05 4.1857682e-05 5.2541025e-05 3.660358e-05 0.00013292879 0.00068566034 1.7688812e-05 9.457384e-05 6.952929e-05 0.0003250538 0.00011821731 0.000650633 0.00039020466 1.3660666e-05 5.954649e-06 8.231427e-06 3.4326804e-05 8.931974e-06 4.2383093e-05 2.5394827e-05 2.0315863e-05 0.0013504794 0.00020368403 0.00017391078 0.0019529499 0.0003092915 0.00024519145 0.00035395136 0.00025727588 0.00020981382 0.00015464575 0.00018091626 0.00015359493 0.00037339155 0.00016287717 0.00019422665 0.00018004057 0.0026477173 0.00031857373 0.00021156519 0.00030000924 0.001173066 0.0007791834 0.000298433 0.00034414371 0.002249106 0.00015412034 0.0001577982 0.00021314142 0.001184625 0.00023188106 0.0007861889 0.0015042495 0.0094743725 0.001453635 0.0009602748 0.0013205311 0.0039440794 0.002987833 0.0012231551 0.001840337 0.0070404974 0.00048670502 0.00054975424 0.00092051877 0.0038924143 0.00083487685 0.002853328 0.005052695 0.0052348375 0.0011012598 0.0007429301 0.001178145 0.001761 0.001953125 0.0008835649 0.001655918 0.0033486146 0.00031156826 0.00045027657 0.00064082537 0.0019538256 0.0008655258 0.0016685278 0.0031510603 0.052092675 0.05174923 0.046731737 0.058700234 0.04868574 0.049711514 0.05212875 0.06473842 0.051479694 0.053879768 0.051263053 0.058140498 0.056870405 0.05967154 0.06438675 0.07108993 11083.0 6.6851935 74092.0 0.014805917 0.0056821248 0.005317713 0.0075986614 0.008867354 0.005520164 0.0092452625 0.010378988 0.007760622 0.006802354 0.00603304 0.007774119 0.0077336286 0.007342223 0.009663661 0.009623171 0.010068564 0.0092452625 0.012093074 0.010999838 0.010325002 0.007936079 0.011593694 0.011499217 0.011715165 0.01070291 0.015629217 0.011593694 0.0134832375 0.011391243 0.012821897 0.013253792 0.016641473 0.009002321 0.0066673863 0.008934838 0.0074232034 0.0062489877 0.008867354 0.010365492 0.0071802624 0.006640393 0.0062219943 0.006896831 0.008260001 0.007706635 0.009204772 0.009785132 0.00996059 0.006275981 0.0062624845 0.009258759 0.0076796417 0.007301733 0.008840361 0.011499217 0.008071047 0.0076796417 0.0076526483 0.00863791 0.009056308 0.009218269 0.009677158 0.013874643 0.008448956 0.015588728 0.009488204 0.014387518 0.013037845 0.021621767 0.0087998705 0.01070291 0.0107434 0.016587486 0.0067753606 0.007828105 0.014104087 0.012605949 0.01475193 0.019678239 0.013685688 0.009137289 0.018436538 0.017208336 0.024739513 0.013550721 0.010257518 0.0095421905 0.01272742 0.012147061 0.008813367 0.008961831 0.011620688 0.011769152 0.011094315 0.009663661 6.5087004 0.0 0.0 0.0 46.0 2855936.0 2867200.0 1.0 0.0 75.0 1.0 1.0 0.0 0.0 0.0 1541243500.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 220672.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220672.0 0.0 2537984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.570338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.633478 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2933884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.504873 0.0 7.970284 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 77652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10700.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -220441.0 0.0 2537888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 301196.0 2537888.0 315392.0 0.0 0.0 0.0 0.0 11248.0 2854912.0 28.0 288544.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 288576.0 0.0 0.0 304.0 225280.0 0.0 0.0 0.0 0.0


Input: 0.15982741 0.0052579744 0.0042965165 0.0035670768 0.0053931796 0.0031981838 0.0031247393 0.0030412793 0.004640371 0.0028142682 0.002989534 0.0028476522 0.0039877146 0.0028559982 0.0029160895 0.0035754228 0.003932631 0.002669048 0.0025688962 0.0026540253 0.0034736015 0.0028726903 0.0026707172 0.0027641924 0.00320653 0.0026173028 0.0027341468 0.0026406718 0.0031097163 0.0025972726 0.003064648 0.0029728422 0.0068036523 0.0025321739 0.00291442 0.0026173028 0.006429752 0.0029845266 0.00256055 0.0026406718 0.0026440101 0.0027391543 0.00281093 0.0032632826 0.0028893822 0.0027007628 0.0027207932 0.0027975764 0.0035487155 0.0030479562 0.0030746632 0.0047271694 0.0029928726 0.002896059 0.0029094126 0.002837637 0.003173146 0.0029394582 0.00324826 0.003485286 0.0032716286 0.0031915072 0.0030145722 0.0030162414 0.0058722394 0.0057637417 0.0031681384 0.0034836167 0.0036204911 0.006625048 0.0030028878 0.0029661653 0.002929443 0.002820945 0.0027291393 0.0026740558 0.0032983357 0.0031214007 0.0026390024 0.0028443139 0.0047755763 0.0029227661 0.0028977282 0.0038107797 0.0036989434 0.004313208 0.0034051645 0.0031531155 0.00272747 0.0035971224 0.0031597924 0.0034285332 0.002794238 0.0031864995 0.0033484118 0.0032031916 0.0026623714 0.0033651039 0.0027308085 0.0029160895 0.004251448 0.0042447713 0.0032532674 0.0029695036 0.0038842245 0.0036688978 0.0037173047 0.0028159374 0.0034786093 0.0029778497 0.003300005 0.0037239813 0.0028643443 0.0024871056 0.003645529 0.0035053163 0.0053314194 0.004096213 0.002862675 0.0028359678 0.0029444657 0.0030412793 0.0026540253 0.0028476522 0.0031347545 0.0030763324 0.0029661653 0.0031497772 0.0039042549 0.0028893822 0.0025972726 0.004737185 0.0031597924 0.0038575171 0.002517151 0.0026556945 0.0031163932 0.006112604 0.0030446176 0.016056018 0.0026540253 0.0045435578 0.0026206414 0.0028025839 0.0030696557 0.00251882 0.0026440101 0.002475421 0.0025572118 0.002770869 0.0026156337 0.0027124472 0.002642341 0.0028660134 0.002542189 0.0025772422 0.0027975764 0.0025739037 0.0028059224 0.002677394 0.0027124472 0.003385134 0.0026072876 0.0027842228 0.0025471966 0.0026974245 0.0026039493 0.0025438583 0.0026289872 0.0026156337 0.0025305045 0.0026056184 0.0027508389 0.0026723864 0.002558881 0.0027541772 0.0029044051 0.0026723864 0.002633995 0.002735816 0.0030162414 0.0026189722 0.0026022801 0.0026857401 0.0031447695 0.0030512945 0.0031915072 0.0028693518 0.002954481 0.0027124472 0.0027675307 0.0028893822 0.0053531188 0.00291442 0.0028760287 0.004742192 0.003274967 0.0025805805 0.0033767882 0.003133085 0.0028927205 0.0028326295 0.0025572118 0.0027925686 0.0032332372 0.0025572118 0.0025956032 0.0028743595 0.0032599443 0.0029010666 0.003148108 0.0028259526 0.0028827055 0.0026072876 0.0029027357 0.002929443 0.003670567 0.0026824016 0.0028576674 0.0030062262 0.00308134 0.0027641924 0.002794238 0.0027808843 0.0030629789 0.002552204 0.0028559982 0.0028326295 0.003385134 0.0029160895 0.0025088051 0.0026857401 0.007910331 0.0036672286 0.0026924168 0.003804103 0.0035654076 0.0027908995 0.0027992455 0.0027625232 0.004224741 0.0030830093 0.0029227661 0.002737485 0.0034702632 0.0027842228 0.0032983357 0.0029828574 0.004012753 0.0030095645 0.0029077434 0.0030346024 0.004823983 0.0029611578 0.0051294463 0.017888797 0.10958904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016554741 0.0 2.508294e-06 2.508294e-06 6.688784e-06 5.852686e-06 2.926343e-05 9.197079e-06 0.0 0.0 8.36098e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0051294616 2.0902451e-05 0.0021955934 6.354345e-05 9.0298585e-05 2.173855e-05 0.00044564024 0.0002098606 6.1035156e-05 8.36098e-06 2.926343e-05 1.1705372e-05 0.00015718643 1.1705372e-05 2.4246843e-05 8.110151e-05 0.00398986 0.00010618445 0.00037373582 4.1804902e-05 0.00017892498 6.437955e-05 0.0012591636 0.0006864365 1.9230254e-05 1.3377568e-05 2.6755137e-05 1.4213667e-05 1.4213667e-05 1.5049764e-05 1.9230254e-05 2.6755137e-05 0.003249913 4.34771e-05 0.0011989645 7.692102e-05 0.0005367749 0.00024581281 0.0019589777 0.0009414464 5.6854667e-05 3.344392e-06 2.508294e-06 5.016588e-06 0.00015551424 3.344392e-06 8.36098e-06 7.4412725e-05 0.004262428 0.00015216984 0.00028176504 0.000117889824 0.00036203043 0.0002157133 0.0011713733 0.00055600516 0.00014380887 0.00013293959 6.0199058e-05 9.9495664e-05 7.524882e-05 6.270735e-05 8.44459e-05 0.00078342383 0.0032348633 9.698737e-05 0.00024497672 0.00027340406 0.00045567343 0.00016220302 0.00032356993 0.00015467814 0.00021738549 0.00020818842 5.3510274e-05 0.00016638351 0.0002575182 6.354345e-05 0.000108692744 0.00082773704 0.00235278 0.0003887856 0.0008879361 0.0045433566 0.0007608492 0.00048159246 0.00046319832 0.00035032508 0.0007299136 0.0003871134 0.00026002649 0.0003369475 0.00049078953 0.0002917982 0.0003018314 0.0006713867 0.0058125537 0.0012240475 0.0029999197 0.0011630123 0.0023753545 0.001364512 0.0011956202 0.0009230522 0.0034346906 0.0002959787 0.00027005965 0.00026838746 0.00057941594 0.0003436363 0.00065633695 0.001066025 0.0184577 0.0022031183 0.0024439145 0.0019196811 0.00691035 0.0046796408 0.0033912137 0.0029923948 0.010569115 0.0010292367 0.0012566553 0.0017691834 0.0034254936 0.0021713467 0.004844352 0.010703727 0.016234515 0.0026470863 0.002549263 0.003581008 0.007111014 0.0074496334 0.0037498996 0.0039338414 0.0122973295 0.0012683608 0.001492435 0.0020149963 0.005962215 0.0034162966 0.006101007 0.012656852 0.039530713 0.039707966 0.038911168 0.039652783 0.03882254 0.03977987 0.04000729 0.0407163 0.039829202 0.03955078 0.03959844 0.040811617 0.039526533 0.040775664 0.040717974 0.04247211 2736.0 7.636696 20894.0 0.01737341 0.005168948 0.012970231 0.0056475545 0.01134297 0.005264669 0.0060304394 0.00531253 0.0077055614 0.0060783 0.0061740214 0.0068440703 0.008279889 0.0063654636 0.007131234 0.0065569063 0.010912224 0.010481478 0.010481478 0.010290035 0.008519192 0.008854217 0.008184168 0.007849143 0.010098593 0.009189241 0.012204461 0.012778788 0.011630133 0.009572126 0.009093519 0.010481478 0.008279889 0.012778788 0.006939791 0.011151527 0.010290035 0.012013018 0.009763569 0.008854217 0.007418398 0.008136307 0.006317603 0.0066526276 0.010002872 0.009619987 0.0070355125 0.007370537 0.009284962 0.007131234 0.007370537 0.012491625 0.012348043 0.007418398 0.00832775 0.008949938 0.006221882 0.00760984 0.0061261607 0.007897004 0.0078012827 0.00832775 0.008997798 0.008902078 0.005456112 0.021058677 0.008614914 0.013257395 0.015841868 0.042117354 0.0074662585 0.011677993 0.010529338 0.02651479 0.006939791 0.0063654636 0.021537283 0.011821575 0.023786733 0.024696086 0.010816502 0.0053603905 0.029386427 0.019527137 0.02885996 0.012300182 0.008662774 0.008614914 0.008902078 0.009619987 0.0068919305 0.0057432754 0.0064133243 0.005264669 0.006748349 0.0065090456 6.4052196 4.0 0.0 0.0 6.0 599090.0 241664.0 0.0 0.0 12.0 1.0 1.0 0.0 1.0 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 1.0 0.0 4.0 0.0 177664.0 1024.0 4096.0 9.0 2.0 0.0 2.0 5.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113664.0 0.0 0.0 -64000.0 0.0 0.0 0.0 -5120.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7573223 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.4998446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.754216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4754915 0.0 0.0 0.0 0.0 0.0 0.0 -5.1251926 3.2049742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -6612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 476.0 0.0 5817.0 0.0 0.0 0.0 0.0 0.0 -3412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -113629.0 0.0 0.0 -63855.0 0.0 0.0 0.0 -5062.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4914.0 131072.0 13824.0 155648.0 0.0 0.0 0.0 0.0 6480.0 147456.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32156068 0.014055896 0.0032787586 0.002615879 0.0031504594 0.0040129153 0.002615879 0.002273748 0.002430558 0.0033286528 0.0024875798 0.0026515177 0.0024234303 0.0030934375 0.0027085398 0.0025731127 0.003264503 0.006671561 0.0022167258 0.002323642 0.002459069 0.002615879 0.0023450253 0.002295131 0.0025089632 0.0024020472 0.0023378974 0.002188215 0.0025802406 0.0025232185 0.0023592806 0.002537474 0.0023592806 0.0024091748 0.002002894 0.0023378974 0.0024519411 0.0035781236 0.0022309814 0.002430558 0.002295131 0.0020314048 0.00226662 0.0022095982 0.0023806638 0.0023165143 0.0023165143 0.0022880032 0.0024020472 0.0022167258 0.0034640797 0.002352153 0.002159704 0.0020171492 0.0023165143 0.00226662 0.0023307698 0.0021525763 0.002537474 0.0025018353 0.002430558 0.0024804522 0.0021668319 0.00226662 0.0027156675 0.0032858863 0.0023949193 0.0026016238 0.0028510944 0.0027441785 0.002273748 0.0026729011 0.0020884266 0.0025802406 0.0023450253 0.002352153 0.002594496 0.0024804522 0.00264439 0.0021026821 0.0026942843 0.0028510944 0.0028510944 0.002537474 0.0030221601 0.0027584338 0.0026871564 0.0027227951 0.002993649 0.0023022587 0.0025588572 0.0024804522 0.0027085398 0.0024804522 0.002544602 0.0023877916 0.002323642 0.002808328 0.0023877916 0.0025160909 0.002701412 0.0044120685 0.002245237 0.0024947077 0.0022594924 0.0037135505 0.0022238537 0.002808328 0.002808328 0.0025089632 0.0031433317 0.0032359923 0.002245237 0.00226662 0.003186098 0.002729923 0.0037349337 0.0037349337 0.0022095982 0.0025517296 0.002352153 0.002430558 0.0021454487 0.0021525763 0.0021383208 0.0023806638 0.0025588572 0.0023735361 0.002623007 0.0033571636 0.0034783352 0.00226662 0.0029651383 0.0024163025 0.0022024706 0.002159704 0.0040841927 0.0026515177 0.006942415 0.0030150325 0.0029865215 0.0022808756 0.0021454487 0.0025232185 0.0024234303 0.0024947077 0.0024947077 0.0024163025 0.0028297112 0.0024448135 0.002024277 0.0031148207 0.0021240653 0.0024091748 0.0023664085 0.0029580104 0.0022309814 0.0022309814 0.0023592806 0.0021240653 0.0025802406 0.0023949193 0.0028297112 0.0023165143 0.0023093866 0.0022594924 0.002323642 0.0023450253 0.0023022587 0.002052788 0.0021240653 0.001974383 0.0021240653 0.0024661967 0.0021383208 0.0021454487 0.002352153 0.0024804522 0.0022024706 0.0023165143 0.0020456603 0.002323642 0.002323642 0.0022024706 0.0023949193 0.0024947077 0.002323642 0.002893861 0.002273748 0.002295131 0.0024020472 0.0022309814 0.0027513062 0.003891744 0.0039273826 0.0025303464 0.0024875798 0.0026016238 0.0028297112 0.0023022587 0.0027370506 0.002245237 0.0022808756 0.0022167258 0.0022238537 0.0022238537 0.0019529997 0.002245237 0.0024661967 0.0023093866 0.0023806638 0.0025588572 0.0021311932 0.0024661967 0.0026657733 0.0023378974 0.0022309814 0.0025089632 0.0026729011 0.0023592806 0.0023592806 0.0027798172 0.0022381092 0.0024376858 0.0025232185 0.0023735361 0.00226662 0.0022095982 0.0021026821 0.0023307698 0.0023735361 0.0018318282 0.002729923 0.005082076 0.0033571636 0.0024091748 0.002430558 0.0027370506 0.0023165143 0.0024020472 0.0024091748 0.0027726893 0.0025731127 0.0023307698 0.0024519411 0.002459069 0.0025731127 0.002594496 0.0025160909 0.0027227951 0.0029294996 0.0027655617 0.002729923 0.0033143973 0.010570433 0.0051248423 0.23487405 4.6673944e-05 0.0 1.4361213e-05 0.00018669578 7.539637e-05 3.5903033e-06 7.1806066e-06 1.4361213e-05 0.0 0.0 1.7951517e-05 1.077091e-05 3.5903033e-06 2.154182e-05 1.7951517e-05 0.014210421 7.1806066e-06 1.4361213e-05 1.4361213e-05 7.1806066e-06 2.154182e-05 7.1806066e-06 7.1806066e-06 2.154182e-05 2.154182e-05 2.154182e-05 2.154182e-05 1.4361213e-05 2.154182e-05 2.154182e-05 0.00027286305 0.02061193 0.00017233456 9.334789e-05 0.00017233456 0.00013643152 7.180607e-05 0.00012925093 0.00014720243 7.8986675e-05 7.180607e-05 3.5903033e-06 5.0264247e-05 0.00014361214 8.616728e-05 6.462546e-05 2.5132123e-05 0.0066815545 3.5903035e-05 5.0264247e-05 5.7444853e-05 2.8722427e-05 3.9493338e-05 5.7444853e-05 3.231273e-05 4.308364e-05 5.385455e-05 4.308364e-05 3.9493338e-05 4.6673944e-05 5.385455e-05 3.231273e-05 5.7444853e-05 0.0057911593 0.0 0.0 0.0 0.00020823759 9.693819e-05 0.00088321464 0.00035903032 0.0 1.077091e-05 0.0 0.0 0.0 0.0 0.0 3.5903033e-06 0.006107106 0.00016874426 1.077091e-05 1.4361213e-05 1.7951517e-05 0.000118480006 0.00016874426 5.0264247e-05 8.975758e-05 6.1035156e-05 4.6673944e-05 5.7444853e-05 3.5903035e-05 5.385455e-05 0.00012566062 0.0002261891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008347455 0.00034466913 0.00028363397 0.00017592486 0.00049905217 0.0005026425 0.0012242934 0.00071806065 0.00068215764 0.00017233456 0.00020823759 0.00014361214 0.0004272461 0.00019028608 0.00024055032 0.0005457261 0.007611443 0.00026568244 0.00024055032 0.00030158547 0.00068933825 0.00039852367 0.001561782 0.00088321464 0.0002261891 0.00026209213 0.00030158547 0.00024055032 0.00025132124 0.0003159467 0.00028722428 0.0008688534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01207419 0.0011058134 0.0005852194 0.00071088003 0.0011524874 0.0011848 0.0012889189 0.0010196462 0.0017305262 0.0009765625 0.00092629826 0.0008724437 0.00092270796 0.0012027516 0.0012242934 0.0024342258 0.0066025676 0.0013391832 0.0005600873 0.0007324219 0.00064266426 0.00095143035 0.00040570428 0.0008868049 0.0026173312 0.0009801527 0.00064266426 0.0005600873 0.0012745577 0.0007503734 0.0010447783 0.0020680148 0.016425638 0.0059024584 0.0032133216 0.0034143785 0.0033318014 0.0056511373 0.0050766887 0.004107307 0.009485581 0.0026927274 0.0020285214 0.0021039178 0.0052382527 0.0026316922 0.00544649 0.01148538 0.03526396 0.034287397 0.032879997 0.032517377 0.03383143 0.03350112 0.033795524 0.032958984 0.033210307 0.03382066 0.032481473 0.033440083 0.033084646 0.03363037 0.03305951 0.035001867 488.0 7.47541 3648.0 0.00877193 0.005482456 0.0052083335 0.00685307 0.005756579 0.0049342103 0.0060307016 0.0060307016 0.005482456 0.0030153508 0.0032894737 0.0038377193 0.0046600876 0.0065789474 0.010964912 0.00685307 0.010416667 0.0052083335 0.010142544 0.011513158 0.00685307 0.0052083335 0.008497807 0.0052083335 0.0063048247 0.00685307 0.0046600876 0.0076754387 0.0032894737 0.0060307016 0.004385965 0.0032894737 0.0076754387 0.014528509 0.005756579 0.011513158 0.0063048247 0.010416667 0.00877193 0.013157895 0.0063048247 0.0082236845 0.0063048247 0.007127193 0.01370614 0.008497807 0.007949562 0.0049342103 0.010142544 0.009320175 0.013980263 0.016173245 0.009868421 0.010416667 0.012061403 0.01069079 0.009046053 0.009320175 0.009046053 0.007401316 0.009320175 0.007401316 0.007401316 0.0063048247 0.00685307 0.030701755 0.0076754387 0.018914474 0.02247807 0.05783991 0.0052083335 0.009868421 0.012609649 0.03207237 0.0063048247 0.009046053 0.026864035 0.01178728 0.023848685 0.026589911 0.009046053 0.009868421 0.031798247 0.017817982 0.03426535 0.01754386 0.0065789474 0.0063048247 0.01370614 0.01178728 0.005482456 0.005482456 0.0063048247 0.00685307 0.005482456 0.0046600876 6.269822 0.0 0.0 0.0 2.0 140297.0 131072.0 0.0 0.0 5.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 69632.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -67072.0 0.0 0.0 0.0 0.0 0.0 45568.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8507166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.314975 0.0 0.0 0.0 0.0 0.0 2.9123235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6253185 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 49152.0 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 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 126976.0 2648.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 120120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0