Input: 0.1431877 0.0062800827 0.0041765436 0.0038621435 0.0054556313 0.0032819738 0.0030908457 0.0032197724 0.006516448 0.002980014 0.0029596572 0.0029562644 0.0049037347 0.0032661408 0.0025706156 0.00599848 0.004710345 0.0027990644 0.0026113293 0.0026079365 0.0034131622 0.0031711422 0.0025581752 0.002528771 0.003261617 0.0025751393 0.0025344256 0.0025706156 0.002965312 0.0024269868 0.0025129379 0.0026282934 0.00399107 0.0024688314 0.0024473437 0.0027278156 0.003630302 0.002583056 0.0024224631 0.002545735 0.0028239451 0.002529902 0.0024869265 0.0030614415 0.0026904948 0.0034572687 0.002650912 0.0024247249 0.003538696 0.0028906702 0.0029381695 0.0046096914 0.0031078097 0.0029528716 0.0027821006 0.0029438243 0.0033272111 0.0032537004 0.0029065034 0.003822561 0.0032729262 0.0034742327 0.0028488257 0.004165234 0.0038429177 0.0034945896 0.00319263 0.0057327105 0.003943571 0.008916292 0.003331735 0.0027131133 0.003105548 0.002649781 0.002701804 0.0025400803 0.0028748373 0.008359873 0.0027628746 0.0026825783 0.0052927765 0.003803335 0.002981145 0.003258224 0.0029178127 0.0057281866 0.003716253 0.00347084 0.0027843623 0.003697027 0.0024993666 0.0027266846 0.0026124602 0.0039333925 0.0032209032 0.0030331681 0.0034052457 0.0037354787 0.0026904948 0.0029212055 0.003369056 0.0040464858 0.0038236917 0.0027085897 0.003663099 0.0033362587 0.004214995 0.0026294242 0.0036732773 0.002839778 0.0032966759 0.0034029838 0.0030942385 0.0024371652 0.0038067277 0.0036416112 0.006637458 0.0065831733 0.002912158 0.0027074588 0.0029901925 0.0027866242 0.0025197235 0.0024699625 0.0026746616 0.0032593552 0.0026463883 0.002770791 0.0035183392 0.0030376918 0.0025366875 0.0075976225 0.0033848889 0.005895565 0.002529902 0.0025038903 0.0030795364 0.008116721 0.0029879306 0.016562546 0.0026373407 0.006959775 0.0024631768 0.0024552601 0.003521732 0.0023421666 0.0023998444 0.0025774012 0.0026735307 0.0029381695 0.0024371652 0.002354607 0.0026633523 0.0023274645 0.0023432977 0.0023794875 0.002528771 0.0024484745 0.00240663 0.002475617 0.0027787078 0.0029879306 0.0024281177 0.0027696602 0.0026633523 0.002460915 0.002389666 0.0023975824 0.0027470414 0.0022867508 0.0022867508 0.0024281177 0.0025706156 0.002352345 0.0024021063 0.0023489522 0.0028160284 0.002441689 0.002336512 0.0023749638 0.0027459105 0.0024202012 0.0031168573 0.002580794 0.0030207278 0.0025694848 0.002598889 0.0024620458 0.0030218586 0.0028126356 0.0026543047 0.0026644832 0.005318788 0.0034911968 0.0032163796 0.004080414 0.0040894616 0.0027346013 0.0034663163 0.0041561867 0.0035477437 0.003258224 0.0026192458 0.0025174615 0.007649645 0.0024654386 0.002718768 0.0025909725 0.003172273 0.002770791 0.0027764458 0.0025525207 0.0028454328 0.0023772258 0.0026068054 0.002408892 0.00322882 0.002652043 0.0025412112 0.0026780544 0.0029777524 0.002756089 0.0025072831 0.0025004975 0.0035782787 0.0025921033 0.0025672228 0.002438296 0.0033260803 0.00296305 0.00244282 0.002493712 0.008281838 0.0033532227 0.0025536516 0.0043880283 0.0048064743 0.0023500833 0.0024880574 0.0026045437 0.0042059477 0.0026712688 0.0026429954 0.0026056746 0.0036483968 0.002441689 0.003088584 0.0030241206 0.004599513 0.002754958 0.0027346013 0.0026000198 0.0048720688 0.003104417 0.0041799364 0.021730918 0.073085845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033262037 6.797419e-06 1.0196129e-05 1.076258e-05 1.3028386e-05 1.076258e-05 1.4727741e-05 1.4727741e-05 1.076258e-05 8.496773e-06 9.629676e-06 9.629676e-06 8.496773e-06 8.496773e-06 1.0196129e-05 7.3638703e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00093521154 7.3638703e-06 5.0980643e-06 9.063225e-06 3.9085156e-05 2.2658062e-06 2.152516e-05 3.965161e-06 3.965161e-06 2.832258e-06 2.832258e-06 3.3987094e-06 3.3987094e-06 8.496773e-06 2.832258e-06 0.0001087587 0.0009414425 3.965161e-06 6.2309673e-06 3.3987094e-06 7.533806e-05 1.9825804e-05 4.4749675e-05 2.9455481e-05 5.0980643e-06 2.832258e-06 4.5316124e-06 5.664516e-06 4.5316124e-06 3.965161e-06 4.5316124e-06 4.5316124e-06 0.0045355777 9.6863216e-05 0.00030814964 1.6993547e-05 0.00029851997 0.00010479354 0.0008547754 0.00043673415 1.3028386e-05 4.305032e-05 1.8692901e-05 1.4161289e-05 1.1329032e-05 9.063225e-06 1.8692901e-05 0.0001801316 0.0044194553 6.3442574e-05 0.0002945548 1.7559998e-05 0.0007420516 0.00018522966 0.0004962116 0.00030361803 1.7559998e-05 4.701548e-05 1.3028386e-05 1.2461935e-05 1.9259352e-05 1.9259352e-05 4.1917418e-05 0.00026793158 0.006239464 0.0001274516 0.0004950787 0.00014671095 0.0009641006 0.00028832385 0.0021038011 0.001063796 6.9673544e-05 9.403096e-05 8.156903e-05 6.570838e-05 5.9477414e-05 0.00013311612 0.00012235354 0.0007063651 0.012127728 0.0003579974 0.00097203086 0.00044409803 0.0022125598 0.0006219638 0.0035930022 0.0019752167 0.0003789561 0.00023111224 0.0001461445 0.00016087224 0.00021978321 0.0002934219 0.00031324773 0.00031381418 0.0036405842 0.00013538192 0.00034780125 0.00022034966 0.00092671474 0.00020222321 0.0009810941 0.0006474541 0.0002769948 0.00016880257 5.7211608e-05 0.00012688515 8.836645e-05 9.799612e-05 6.570838e-05 0.00013708128 0.0042217635 0.00069163734 0.0006247961 0.006224736 0.0008898954 0.0006576503 0.0012490257 0.0008938606 0.00069900125 0.0011323367 0.0004582593 0.00046109158 0.00095617026 0.00047298707 0.00052453415 0.0007239251 0.007610277 0.00080379477 0.0005998722 0.0012410954 0.0025869843 0.0016749973 0.00074545026 0.00087403477 0.0053467364 0.0005545561 0.000415209 0.00064235606 0.002227854 0.0006939032 0.0018341702 0.004631308 0.026982354 0.0038728293 0.002777312 0.0036757041 0.010850946 0.008426533 0.0041203685 0.005206823 0.019845631 0.0015724696 0.0014846695 0.0026838474 0.010949509 0.002557529 0.00788274 0.015881035 0.018908152 0.0038343107 0.002748423 0.0039543984 0.007241517 0.007165612 0.0036394512 0.0062666535 0.0132561 0.0010303754 0.0014019676 0.0022204902 0.006989446 0.002793739 0.006373713 0.011943631 0.03708105 0.035922658 0.035798606 0.03663809 0.036081832 0.03638375 0.035926625 0.036273293 0.036452856 0.03598667 0.03625177 0.036279522 0.03645739 0.03631011 0.03610279 0.036099393 3479.0 8.18971 28492.0 0.025656324 0.0055805137 0.004843465 0.005159343 0.009300856 0.0056858067 0.005475221 0.007932051 0.006984417 0.005966587 0.005369928 0.0054401234 0.0071599046 0.0058261966 0.009441246 0.0061069774 0.011898077 0.009792223 0.010880247 0.01112593 0.012740418 0.011827881 0.010423979 0.011055735 0.012845711 0.011898077 0.0111610275 0.011020637 0.013021199 0.010880247 0.010459077 0.011792784 0.013126492 0.009335954 0.0055103186 0.009511442 0.009335954 0.007861856 0.008704198 0.006633441 0.007686368 0.0067387335 0.0058261966 0.0055805137 0.007861856 0.0076512704 0.006317563 0.006317563 0.01386354 0.00621227 0.0075108805 0.010213393 0.009125369 0.0065983436 0.009020076 0.010739856 0.0082830265 0.00621227 0.0052997335 0.005966587 0.006563246 0.0064930506 0.0064579532 0.010529271 0.008072441 0.02428752 0.008634003 0.018145444 0.01691703 0.039239086 0.008844588 0.009195563 0.01098554 0.022146568 0.0074055875 0.0066685383 0.020286396 0.01228415 0.01993542 0.026042398 0.014495297 0.0055454164 0.027481398 0.021479713 0.033307593 0.013196687 0.0084936125 0.0061069774 0.010002808 0.010002808 0.0059314896 0.005475221 0.006317563 0.004667977 0.004983855 0.0055805137 6.379943 0.0 0.0 0.0 14.0 884224.0 905216.0 1.0 0.0 110.0 1.0 1.0 0.0 1.0 0.0 1540020400.0 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 214528.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 651776.0 0.0 0.0 0.0 0.0 0.0 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 -214528.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6224093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.3667912 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.6555188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.527442 0.0 5.0013003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11284.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 651602.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214177.0 0.0 792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 870196.0 792.0 888832.0 0.0 0.0 0.0 0.0 11284.0 892928.0 28.0 278368.0 0.0 0.0 0.0 0.0 24.0 278560.0 64.0 278400.0 0.0 0.0 452.0 221184.0 0.0 0.0 0.0 0.0


Input: 0.056864627 0.008312606 0.0061754948 0.0056518656 0.0057557602 0.004965123 0.0041994196 0.0054222587 0.005048238 0.0056342036 0.0037526726 0.0044653895 0.0049620057 0.003171902 0.004324093 0.0046336986 0.0050388877 0.0037609842 0.004934993 0.004152667 0.0043635727 0.0031802135 0.0041027972 0.003842022 0.0050814846 0.003343328 0.0031625514 0.0029215158 0.004145394 0.003437872 0.00378488 0.0037963083 0.006174456 0.0038181264 0.0034887805 0.00301606 0.004894474 0.0041713677 0.0038472167 0.0037215042 0.0047282428 0.0038939693 0.0033298216 0.0030950198 0.0043760403 0.0037225434 0.0037318938 0.0035781297 0.005516803 0.003946956 0.0031002148 0.0028903475 0.0036778685 0.0030773578 0.002688792 0.0028581403 0.0041661733 0.0033173542 0.003517871 0.0033464448 0.004014487 0.0032196934 0.0035012478 0.0034544952 0.006606657 0.0039521502 0.003614493 0.0032238492 0.0041578617 0.0032228103 0.0035480002 0.0030648904 0.0050056414 0.0037765685 0.0037111149 0.0035833246 0.004128771 0.0031189157 0.0035490394 0.003455534 0.00517499 0.0036217654 0.0036435833 0.0033370943 0.0039261766 0.0033765743 0.003366185 0.0035428056 0.004649283 0.0036415055 0.003805659 0.0035043645 0.0041007195 0.0033859247 0.0036934528 0.0037973474 0.005911602 0.0036279992 0.003345406 0.0029485286 0.0040103314 0.003057618 0.003264368 0.0030326832 0.0049734344 0.0031667072 0.0031989145 0.0030461894 0.0035802077 0.0028290497 0.0030887863 0.0031874862 0.0045017526 0.003288264 0.0032176154 0.003132422 0.0038898136 0.0033339774 0.0032903417 0.0036248823 0.0046274653 0.0032965755 0.0034721573 0.0031583956 0.0040394217 0.0031947587 0.003461768 0.0033412501 0.008665848 0.0046025305 0.004019682 0.0035261824 0.0043708454 0.0034326774 0.0030243716 0.0033890416 0.0045433105 0.0038316327 0.002962035 0.003189564 0.0037215042 0.002788531 0.002845673 0.0029880085 0.0052321316 0.003210343 0.0034939751 0.0030212547 0.0036643622 0.0031760577 0.003304887 0.0032716407 0.004546427 0.0028363224 0.0030378778 0.0026971037 0.0035105983 0.0032238492 0.0029869694 0.0031490452 0.005007719 0.0034118984 0.0032747576 0.0027947645 0.0037734515 0.0030108653 0.0030534621 0.0031812524 0.0041391607 0.0029994368 0.0031178768 0.0030139822 0.0036570898 0.0028300886 0.0029163212 0.0030316443 0.004671101 0.003113721 0.003843061 0.0028508676 0.0035635845 0.003150084 0.0029848916 0.0031178768 0.0042534447 0.0031459283 0.0033308608 0.0031802135 0.0036570898 0.0031874862 0.0033287827 0.0033464448 0.00673237 0.004066434 0.0037235823 0.003342289 0.0041225376 0.003246706 0.0033017702 0.0032228103 0.0043272097 0.0033298216 0.003111643 0.0030835916 0.0036415055 0.0029817747 0.003074241 0.0027947645 0.0042534447 0.0032716407 0.0030835916 0.002998398 0.003710076 0.0030087875 0.0029298274 0.002940217 0.00398228 0.003113721 0.002728272 0.0026410006 0.0035313773 0.0029464506 0.0035843635 0.0028778801 0.0049505774 0.0032352777 0.0033942363 0.0029651516 0.0038015032 0.0030700853 0.0031957976 0.002900737 0.0044477275 0.0054471935 0.0034638457 0.0031396947 0.003782802 0.00307528 0.0032446282 0.003192681 0.004617076 0.0033173542 0.0034212489 0.0030451505 0.0037381274 0.0030898252 0.0033121596 0.0032383944 0.004354222 0.0030326832 0.0031843693 0.0028685296 0.004016565 0.003092942 0.00422851 0.0045298045 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.004600151 0.00029359342 0.00027225065 0.00026860673 0.00030400453 0.00024153784 0.0003289912 0.00030348398 0.0003347173 0.00034981343 0.000331594 0.0003560601 0.0005205557 0.00015772838 0.00018896173 0.000742833 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.09932827 0.062005993 0.06247137 0.055292908 0.060603615 0.0595573 0.054927476 0.0544444 0.060475558 0.053119585 0.05209149 0.052903034 0.056397524 0.05050119 0.056603145 0.053840034 4010.0 5.704738 22876.0 0.017179577 0.010535059 0.009354782 0.008611646 0.013463892 0.012502186 0.011759048 0.011453051 0.012589614 0.009704494 0.008480503 0.008611646 0.013901032 0.010535059 0.011802763 0.009923063 0.016742438 0.011933904 0.008699073 0.007518797 0.009835635 0.008524218 0.007868509 0.008349362 0.010272775 0.00843679 0.0096607795 0.008830215 0.011496766 0.008961357 0.009617066 0.0091799265 0.018053856 0.01088477 0.010360203 0.009092499 0.01088477 0.008830215 0.010753628 0.008305647 0.014250743 0.011627907 0.009791922 0.008961357 0.011496766 0.009354782 0.011671621 0.009573352 0.014819024 0.009617066 0.009966778 0.009048785 0.0120650465 0.009354782 0.009573352 0.009835635 0.013682462 0.009223641 0.010491345 0.009529638 0.011147054 0.009835635 0.010447631 0.010753628 0.017966427 0.011015912 0.009704494 0.0082182195 0.01311418 0.008261934 0.009398496 0.008349362 0.015474733 0.009311069 0.008917643 0.008699073 0.011365623 0.008043365 0.009966778 0.007912222 0.013201608 0.00799965 0.008742787 0.008742787 0.011409338 0.00944221 0.008174506 0.007868509 0.010928484 0.008873929 0.011933904 0.00843679 0.011234482 0.008917643 0.010010491 0.008742787 6.5544634 0.0 0.0 0.0 14.0 962514.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.023840638 0.0038352457 0.004560885 0.005181068 0.0055339406 0.0035478484 0.0041292096 0.0038170903 0.0037802 0.0034089785 0.0035090267 0.0035719913 0.0034862359 0.0033668734 0.0035675492 0.008682369 0.0034881672 0.0035283412 0.0034159317 0.0034644105 0.0034534014 0.003365135 0.0039285338 0.0036878774 0.003326313 0.0032797656 0.0033784618 0.0034848838 0.0032521463 0.0033037155 0.0033019772 0.003318008 0.003295024 0.003323416 0.0033048743 0.0034288722 0.0034329284 0.0041218703 0.0032210501 0.0035208084 0.0032148696 0.0033118275 0.0033081577 0.003446255 0.0033429235 0.0034547534 0.003274744 0.0032455793 0.0033701567 0.0034107168 0.003743889 0.0059999954 0.00331936 0.0035893742 0.0034240438 0.0032741646 0.0032988868 0.003215256 0.0035418612 0.0046466407 0.003335391 0.0033390606 0.0032407509 0.003205985 0.003707385 0.005136645 0.0035408954 0.003355478 0.0041008177 0.003857264 0.0035982588 0.0034895192 0.003969094 0.0038246228 0.0035014942 0.0033693842 0.003641523 0.0036911608 0.0035063226 0.0033815522 0.0033977763 0.0033305623 0.0033641693 0.0033836768 0.0036946374 0.003909992 0.0044590984 0.0035393503 0.0034294517 0.0033141451 0.003428293 0.0034064676 0.0033628172 0.0035408954 0.0034557192 0.0033655213 0.0032766755 0.0033807796 0.0035177183 0.003928341 0.0033400264 0.00418329 0.015068071 0.0034346667 0.0033645555 0.0033071921 0.003294831 0.00326528 0.0033373225 0.0032731988 0.0034661489 0.0033632035 0.003345048 0.003236888 0.0033305623 0.0032695292 0.003350456 0.003281311 0.003309896 0.0033102822 0.0032797656 0.0033008184 0.0033114413 0.0032710743 0.0032757097 0.0031938169 0.0032786068 0.0032714605 0.004401735 0.0072403615 0.0031886022 0.0032169942 0.0035186838 0.0046022176 0.0034398814 0.0033859946 0.0033201326 0.0046105227 0.003579524 0.0064341812 0.0031592443 0.00463061 0.0031729576 0.0036890362 0.0032413302 0.003366487 0.0033050675 0.0032513735 0.0032784138 0.003208689 0.0032044398 0.0032567817 0.0034854633 0.0034238505 0.0032449998 0.0032314798 0.0037672592 0.0034288722 0.0033467864 0.0033390606 0.003245193 0.0032927063 0.0033081577 0.0034093647 0.0033821317 0.0032832422 0.0032353427 0.003267791 0.0033210984 0.0033404126 0.00337035 0.0036477037 0.0034288722 0.0035665834 0.0033276652 0.0032940584 0.0032478971 0.0033238023 0.0033068059 0.0034194083 0.0032996594 0.0033500697 0.004224816 0.003598452 0.003288264 0.0032967622 0.0037338454 0.0034445168 0.003328631 0.0034870084 0.0034205671 0.0040668244 0.004485366 0.005508832 0.0042070467 0.0044940575 0.0038570708 0.0039238986 0.003966197 0.0038688527 0.0040589054 0.00411878 0.004142923 0.0037448546 0.0035801034 0.003463638 0.0034781238 0.0034862359 0.004111827 0.00458947 0.00465089 0.0045444677 0.0034505043 0.0034165112 0.0034796689 0.0033850288 0.0043463027 0.004094251 0.004089036 0.0032139039 0.0032898092 0.003336743 0.003316656 0.0032903885 0.0035503595 0.0034414267 0.0035590508 0.0032731988 0.0034331214 0.0035519046 0.0034866221 0.0034470276 0.0037713153 0.0091277575 0.003967742 0.0034265546 0.0033830972 0.0035607892 0.0037064191 0.0037552845 0.003634763 0.0040428746 0.003959437 0.003385608 0.0034611272 0.005438335 0.0044305134 0.0064760935 0.0056697205 0.005828098 0.0037825175 0.0036604512 0.004203763 0.0038816 0.0060421005 0.025670284 0.00039564786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003736245 2.8978116e-07 2.8978116e-07 1.9318743e-07 2.8978116e-07 7.7274973e-07 6.3751854e-06 1.0625309e-06 6.7615605e-07 1.9318743e-07 3.8637486e-07 9.6593716e-08 3.8637486e-07 9.6593716e-08 2.8978116e-07 1.0625309e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027664442 0.0 3.8637486e-07 0.0 1.9318743e-07 0.0 3.941024e-05 0.0 1.9318743e-07 9.6593716e-08 0.0 0.0 9.6593716e-08 0.0 0.0 7.862729e-05 0.0002136653 0.0 0.0 0.0 0.0 0.0 6.0660856e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00012132171 0.0031242273 1.3136746e-05 1.6807307e-05 1.3619714e-05 1.2653777e-05 8.5002475e-06 0.0030618277 4.0376173e-05 3.3131644e-05 3.1779335e-05 3.5160112e-05 3.4966928e-05 3.429077e-05 3.9023864e-05 4.491608e-05 0.0076989057 0.0019625912 3.7381767e-05 3.216571e-05 2.7142834e-05 2.6080304e-05 2.3858649e-05 0.0017825405 7.611585e-05 6.162679e-05 5.5251607e-05 5.5155015e-05 5.013214e-05 5.274017e-05 5.5927765e-05 7.041682e-05 0.005324246 0.00034725442 1.1784434e-05 7.824091e-06 8.30706e-06 8.5002475e-06 1.0045746e-05 0.00019173854 2.028468e-05 1.9318744e-05 1.584137e-05 1.6420932e-05 1.4585652e-05 1.9994899e-05 1.9608526e-05 2.521096e-05 0.00064804725 0.00015831711 4.15353e-06 1.1591246e-05 8.5002475e-06 5.505842e-06 5.9888107e-06 0.00010219616 2.028468e-05 5.6024355e-06 5.022873e-06 5.892217e-06 5.119467e-06 5.6024355e-06 7.53431e-06 4.5399047e-06 0.00023762055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00039294324 2.6853055e-05 2.9267896e-05 2.936449e-05 2.2119963e-05 2.5114367e-05 5.109808e-05 3.6705613e-05 2.7625803e-05 1.8642588e-05 1.9994899e-05 1.6807307e-05 2.4534804e-05 1.9801713e-05 2.2796117e-05 2.7625803e-05 9.012194e-05 7.630903e-06 6.76156e-06 6.471779e-06 7.920685e-06 6.568373e-06 9.272997e-06 8.5002475e-06 6.181998e-06 5.9888107e-06 7.3411225e-06 5.892217e-06 6.471779e-06 5.6024355e-06 6.0854045e-06 1.1011684e-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 0.0045592235 0.0012227799 0.0010895771 0.0016727134 0.0015737049 0.0018295817 0.0027984167 0.0008691503 0.0023966834 0.0007579709 0.0007687894 0.001040894 0.0021771258 0.0017402325 0.0018538267 0.0035207444 0.07584162 0.053656362 0.05305352 0.0561905 0.05801892 0.0544777 0.058695655 0.051545404 0.063045755 0.052495886 0.052816384 0.054675907 0.062073827 0.058726277 0.06042285 0.075905375 21016.0 5.796536 121820.0 0.01195206 0.009620752 0.009678214 0.009275981 0.012091611 0.009152848 0.009530455 0.0099819405 0.0097356755 0.0096617965 0.009078969 0.009571499 0.009867017 0.010072238 0.010490888 0.010614021 0.011869972 0.012575932 0.010105073 0.010884912 0.009645378 0.011237892 0.009497619 0.00928419 0.010121491 0.009358069 0.010039402 0.010564768 0.011237892 0.010630438 0.009596125 0.009037925 0.009768511 0.014644558 0.008693154 0.010113282 0.0106879 0.009571499 0.00921031 0.009579708 0.009891643 0.010014776 0.0095140375 0.009333443 0.009899852 0.009825973 0.009678214 0.009341652 0.0096864225 0.009522246 0.009251354 0.010261041 0.0098341815 0.01181251 0.026752586 0.009670005 0.009579708 0.009095387 0.00991627 0.009267773 0.009431949 0.01131998 0.009768511 0.009522246 0.009801346 0.011344607 0.012222952 0.021934 0.009990149 0.011763257 0.01385651 0.011303563 0.010121491 0.011385651 0.009308816 0.009366279 0.010671482 0.010375964 0.010934165 0.010950583 0.009620752 0.009161057 0.011205057 0.01076178 0.011139386 0.009407322 0.009481202 0.009891643 0.008898375 0.009678214 0.009358069 0.009259563 0.008881957 0.009161057 0.00914464 0.009095387 6.557548 1.0 41.0 0.0 66.0 5177504.0 8286208.0 0.0 0.0 24.0 0.0 1.0 1.0 0.0 0.0 1539659000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 129536.0 1024.0 4096.0 6.0 4.0 0.0 3.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5008896.0 0.0 0.0 0.0 0.0 152064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9376307 0.0 0.0 0.0 0.0 3.3634052 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41994.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2928903.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7268.0 0.0 0.0 0.0 0.0 0.0 -5008544.0 0.0 0.0 -129054.0 0.0 151774.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 7385372.0 151774.0 8130560.0 0.0 0.0 15520.0 5161984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8128720.0 0.0 0.0 144.0 6553600.0 0.0 0.0 0.0 0.0


Input: 0.3380127 0.010269165 0.0075149536 0.0049705505 0.009029388 0.003353119 0.0022888184 0.002418518 0.0097846985 0.0014190674 0.0021438599 0.0014343262 0.0064086914 0.0018386841 0.00092315674 0.007671356 0.0067710876 0.001209259 0.0010910034 0.0005340576 0.0037498474 0.003227234 0.0008239746 0.0005226135 0.0027008057 0.00091171265 0.0005226135 0.00088882446 0.0020065308 0.00060272217 0.00051116943 0.0011901855 0.009853363 0.0005531311 0.00090789795 0.0006790161 0.011741638 0.0009498596 0.00038146973 0.0005226135 0.0017547607 0.0004119873 0.00048065186 0.002128601 0.0009727478 0.00091934204 0.0019302368 0.00035476685 0.0015792847 0.00063323975 0.00045394897 0.005962372 0.001121521 0.0008468628 0.0006637573 0.0004005432 0.0013237 0.001953125 0.0011177063 0.003944397 0.0011520386 0.0011367798 0.00048828125 0.0009498596 0.0049705505 0.004257202 0.011306763 0.006046295 0.0053367615 0.008331299 0.003162384 0.0020523071 0.0021896362 0.0021400452 0.0010719299 0.00045776367 0.0027618408 0.0043792725 0.0022506714 0.0010261536 0.008106232 0.002986908 0.0019760132 0.0043640137 0.002986908 0.002796173 0.005203247 0.0036582947 0.001625061 0.0033607483 0.00037765503 0.0012245178 0.0014839172 0.00233078 0.002796173 0.002166748 0.0018997192 0.004173279 0.0018615723 0.003211975 0.0034179688 0.008850098 0.0028038025 0.0010032654 0.004470825 0.004043579 0.005340576 0.0007247925 0.00390625 0.0016021729 0.0042419434 0.0045318604 0.0031051636 0.00050354004 0.005760193 0.0041618347 0.013847351 0.012622833 0.0021476746 0.0017242432 0.0015258789 0.0013122559 0.0004196167 0.00030136108 0.0016975403 0.0029525757 0.0013771057 0.0013694763 0.003540039 0.001750946 0.00046539307 0.013126373 0.0028381348 0.007484436 0.00048065186 0.00033950806 0.0022468567 0.009170532 0.0014572144 0.024921417 0.0010948181 0.008907318 0.00065231323 0.0004272461 0.0009918213 0.00021743774 0.0004196167 0.0006980896 0.00092697144 0.0007362366 0.00035095215 0.00025558472 0.0007171631 0.00038909912 0.00038528442 0.0005340576 0.0013122559 0.0002861023 0.00035095215 0.0012817383 0.00078201294 0.0011482239 0.00031280518 0.0008049011 0.000667572 0.0014762878 0.0002784729 0.00035095215 0.00075531006 0.0005531311 0.00036621094 0.0004081726 0.0008468628 0.00038146973 0.00034713745 0.00030136108 0.0010604858 0.0002593994 0.0002861023 0.00030517578 0.0009613037 0.0004386902 0.0019264221 0.0006828308 0.002166748 0.0005302429 0.0002822876 0.00038528442 0.0009498596 0.0005493164 0.00089263916 0.0007133484 0.0073165894 0.0026931763 0.003063202 0.0043144226 0.0038337708 0.000579834 0.002948761 0.0036239624 0.0022239685 0.0019493103 0.0008735657 0.00077819824 0.0059814453 0.00050735474 0.0010910034 0.0007247925 0.0018196106 0.0008354187 0.0014076233 0.00091171265 0.00089263916 0.00035095215 0.00088500977 0.0009880066 0.0016288757 0.00061035156 0.0005607605 0.0012207031 0.0011901855 0.00039672852 0.00044250488 0.00064468384 0.002357483 0.0005912781 0.00061035156 0.00048828125 0.0019302368 0.0005340576 0.00093078613 0.0006637573 0.015132904 0.0032463074 0.00051498413 0.00447464 0.0034561157 0.00050735474 0.0005455017 0.00049591064 0.0036468506 0.0012741089 0.0013504028 0.0010795593 0.0015258789 0.00034713745 0.0034484863 0.0019569397 0.003791809 0.0009765625 0.00075912476 0.00089263916 0.003993988 0.0014648438 0.003929138 0.049755096 0.062367875 5.7444854e-06 4.02114e-05 1.7233457e-05 2.6807598e-05 1.5318628e-05 0.00017233456 9.957108e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048481543 3.4466913e-05 0.00024318321 7.276348e-05 7.467831e-05 0.000114889706 0.0012044271 0.0007008272 7.659314e-06 3.829657e-06 0.0 0.0 1.9148285e-06 0.0 2.6807598e-05 1.3403799e-05 0.050036382 5.935968e-05 0.0006529565 8.04228e-05 0.0012599571 0.0005035999 0.0017041973 0.00042126226 0.000116804535 1.3403799e-05 7.659314e-06 7.659314e-06 9.5741425e-06 9.5741425e-06 7.659314e-06 1.1488971e-05 0.0136106005 0.00010723039 0.00015318628 7.850797e-05 0.00013978248 8.425245e-05 0.00060125615 0.0004653033 0.00013595283 3.4466913e-05 2.8722427e-05 8.2337625e-05 5.5530025e-05 2.8722427e-05 5.170037e-05 2.8722427e-05 0.0065831803 5.7444853e-05 7.659314e-05 1.1488971e-05 0.00022594976 9.765625e-05 0.000116804535 7.850797e-05 5.5530025e-05 3.2552085e-05 6.510417e-05 5.935968e-05 8.425245e-05 5.935968e-05 9.3826595e-05 0.00014552697 0.012532552 0.00032552084 0.00020488664 0.00015701594 0.0003427543 0.00012637868 0.0001608456 0.00016659008 0.00016467525 0.000114889706 0.00019722733 6.510417e-05 0.00012637868 0.00012446386 0.00059359684 0.00028339462 0.0047947303 6.127451e-05 0.0001608456 7.659314e-05 0.00024701288 8.425245e-05 0.00058210787 0.0003370098 9.957108e-05 1.3403799e-05 3.829657e-06 0.0 4.4041055e-05 0.0 1.9148285e-05 0.0013193168 0.0472752 0.0010186888 0.0028933058 0.00084060966 0.003929228 0.0008463542 0.0062327664 0.0031690411 0.0006414675 0.0008961397 0.0006395527 0.00042509192 0.00095358456 0.00038871018 0.00040785846 0.0078737745 0.009217984 0.00013786765 0.00021829044 0.00022594976 0.0014801624 0.0003561581 0.00063763786 0.00044806986 0.00044232537 0.00018956802 0.00012254903 0.00046147365 7.467831e-05 8.616728e-05 6.510417e-05 0.0015222887 0.015435432 0.0004978554 0.0027113971 0.000959329 0.0051834406 0.002221201 0.010594746 0.0054936428 0.0007123162 0.00044998468 0.00025084254 0.00021446079 0.0002757353 0.00026616117 0.0005304075 0.0012618719 0.010841759 0.0003695619 0.0034869027 0.00092869176 0.0035730698 0.0014973958 0.010338158 0.005868949 0.00042126226 0.00034466913 0.00014361214 0.0001474418 0.00018573836 0.00025084254 0.0003772212 0.00044041054 0.008865655 0.00035424327 0.0011431526 0.0005189185 0.0019320619 0.0006452972 0.0040977327 0.0021618414 0.00037913604 0.0002891391 0.00040785846 0.000268076 0.00032552084 0.00043466606 0.001183364 0.00052274816 0.004806219 0.00031403187 0.0003829657 0.00024701288 0.0009344363 0.00033126533 0.00066444546 0.00046338848 0.00044041054 0.0003082874 0.00044615503 0.0003427543 0.00043658089 0.00048636642 0.00044806986 0.0007123162 0.027881816 0.006160003 0.0048043043 0.0039426317 0.009026501 0.0087794885 0.0033873315 0.007779948 0.018790212 0.0015950521 0.0011584712 0.0029105393 0.010809206 0.002810968 0.007299326 0.016197534 0.08682215 0.017844286 0.01746898 0.015659466 0.03207146 0.031422336 0.015734145 0.027359068 0.056789983 0.005589384 0.0063342527 0.007387408 0.029252835 0.009888174 0.025509344 0.050160844 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1225.0 16.750204 20519.0 0.06496418 0.0010234417 0.0004873532 0.00058482384 0.007846386 0.0032165311 0.00043861786 0.0028753837 0.0018032067 0.0005360885 0.00034114724 0.00058482384 0.0020468833 0.0059944442 0.015497832 0.00058482384 0.004142502 0.0014620596 0.002144354 0.0029241191 0.001364589 0.00029241192 0.0019981482 0.0010234417 0.0016082656 0.0028753837 0.007066621 0.0012671183 0.0015107949 0.0008772357 0.0005360885 0.0028266485 0.007992593 0.02134607 0.0032165311 0.015010478 0.023295483 0.0108192405 0.0057507674 0.013548419 0.0058482382 0.017788392 0.00058482384 0.0015107949 0.0056045614 0.007017886 0.009698329 0.005945709 0.018080803 0.0031677957 0.007651445 0.023392953 0.0060919146 0.0054096202 0.013938301 0.012768653 0.008382475 0.0023392953 0.00043861786 0.0020468833 0.004434914 0.002144354 0.0025342365 0.007456504 0.0023392953 0.029192455 0.008869828 0.025683513 0.022320775 0.07997466 0.013694624 0.0071153566 0.009454652 0.03967055 0.0040937667 0.0023392953 0.031921633 0.013158536 0.041083872 0.045957405 0.013889566 0.0004873532 0.04800429 0.034602076 0.051708173 0.01842195 0.009600858 0.008967299 0.0065305326 0.008674887 0.0011209124 0.00038988254 0.0012671183 0.00014620596 0.00043861786 0.0008772357 5.571475 0.0 0.0 0.0 3.0 262144.0 278528.0 0.0 0.0 256.0 0.0 1.0 0.0 0.0 0.0 1270804200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 151552.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -151552.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.210272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.214922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7024727 0.0 3.6268864 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36786.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -67456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -149914.0 0.0 15324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 186612.0 15324.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 174144.0 0.0 0.0 1060.0 155648.0 64.0 186476.0 0.0 0.0


Input: 0.011695012 0.0042215325 0.0039681364 0.003984136 0.0041521336 0.0038541383 0.0038335386 0.004059935 0.0042021326 0.0038515383 0.0037787396 0.003813139 0.0040347353 0.0038551383 0.0037715395 0.003999536 0.0040257354 0.0037683398 0.0037517399 0.0038087391 0.0038801378 0.0038947377 0.0037831394 0.0038305386 0.0038309386 0.0038003393 0.003812539 0.0038377387 0.003872738 0.0037969393 0.0037313404 0.0037995393 0.0039643366 0.0037963393 0.0038443385 0.0038339386 0.0039061375 0.0037785396 0.0037543399 0.003820139 0.0038003393 0.003801739 0.0037743396 0.0038617381 0.0037875394 0.0037733396 0.0037759396 0.003819939 0.0037705398 0.003806339 0.0038209388 0.0040249354 0.0038597384 0.0038313386 0.0037905395 0.003815139 0.0038423385 0.0039169374 0.0038545383 0.0038847378 0.0038639382 0.0038449385 0.0037835394 0.0037969393 0.0040739346 0.0042045326 0.004186933 0.0038413384 0.0038979377 0.0042977314 0.0038959377 0.003819939 0.0038403384 0.003806739 0.00374934 0.0038071391 0.0038087391 0.0041331337 0.0038235388 0.0037409402 0.0040791347 0.0038419385 0.0038861379 0.003978336 0.003820339 0.003810939 0.003949937 0.0039707366 0.0037787396 0.0039133374 0.0037915392 0.0038271388 0.003811139 0.0038631381 0.0038867379 0.0038689382 0.0037975393 0.003871938 0.0037683398 0.0038295388 0.003872938 0.0040309355 0.0038647382 0.0037781396 0.0039209374 0.003811739 0.003994736 0.00374574 0.0038351386 0.0037981393 0.003813339 0.0038915377 0.0037369402 0.0037149405 0.0039103376 0.003871138 0.0040961346 0.0041793333 0.0037907395 0.003806539 0.0038233388 0.0038273388 0.0037895394 0.003802539 0.003819139 0.003870538 0.0038495385 0.0038411384 0.0039595366 0.0038489385 0.0038275388 0.00435033 0.003871538 0.0039703366 0.0038309386 0.0038287388 0.0039489367 0.0042193327 0.0038363386 0.004809123 0.0038239388 0.0043527302 0.0038277388 0.0038481385 0.0038351386 0.003804539 0.0037815394 0.0037963393 0.0038223388 0.0037865394 0.003811339 0.003813539 0.003806339 0.00375694 0.0038293388 0.0037977393 0.0037815394 0.0037713395 0.0037913392 0.0037637397 0.0038477385 0.003870538 0.0038243388 0.0037925392 0.0038227388 0.0038369386 0.0037869394 0.0038455385 0.003815939 0.00375914 0.0037961393 0.0037871394 0.0037911392 0.0038411384 0.003805739 0.0038087391 0.003802539 0.0037841394 0.003805139 0.0037869394 0.0038297388 0.003815139 0.0037995393 0.0038081391 0.0038899377 0.00375794 0.0037949393 0.0037737396 0.003804139 0.0037651397 0.0037881394 0.004237932 0.0040889345 0.0038429385 0.0038447385 0.003924537 0.0038681382 0.0037831394 0.0039087376 0.0039075376 0.0038395387 0.003815539 0.0038333386 0.0038339386 0.003935937 0.0038277388 0.0038499385 0.0038073391 0.0038617381 0.0038433385 0.0037723396 0.0037937392 0.0038869379 0.003803739 0.0037727396 0.003814139 0.0038885379 0.0037887394 0.0037627397 0.0037923392 0.0038215388 0.0037955393 0.0037299404 0.0037789396 0.0038799378 0.0037633397 0.0037713395 0.0038847378 0.0038415384 0.0037983393 0.0037365402 0.0038003393 0.0044859285 0.003931337 0.003802139 0.003947537 0.0039193374 0.0037937392 0.0038209388 0.0037909395 0.003922737 0.0038497385 0.0038291388 0.0038099391 0.003871338 0.0037663397 0.0038813378 0.0038529383 0.003915537 0.0038507383 0.0037821394 0.0037663397 0.004065935 0.0037847394 0.004078135 0.006744692 0.0010243802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008562178 5.7021166e-06 7.702859e-06 7.502785e-06 2.340869e-05 1.0603936e-05 3.6713627e-05 2.160802e-05 2.2608392e-05 2.6009654e-06 3.2011883e-06 5.201931e-06 7.502785e-06 3.1011512e-06 5.8021537e-06 4.9018195e-06 0.00016606164 4.501671e-06 1.1004084e-06 8.002971e-07 1.0303825e-05 2.9010769e-06 1.2004456e-06 2.7010026e-06 2.300854e-06 2.6009654e-06 2.0007426e-06 1.4005199e-06 1.7006313e-06 1.500557e-06 1.0003713e-06 2.8010397e-06 0.0004536684 1.6906275e-05 2.060765e-05 1.0003713e-05 2.300854e-05 8.203045e-06 3.4312736e-05 1.780661e-05 6.702488e-06 1.8006684e-06 1.1004084e-06 4.1015223e-06 2.4008912e-06 1.2004456e-06 2.8010397e-06 1.0003713e-05 0.00012844767 8.002971e-07 3.5012997e-06 9.003342e-07 2.1007797e-06 1.9007056e-06 1.00037134e-07 5.0018565e-07 2.550947e-05 7.1026366e-06 6.9025623e-06 4.701745e-06 2.0007427e-07 3.001114e-07 2.1708058e-05 2.0007427e-07 0.0013154884 5.6020795e-05 5.582072e-05 2.6609878e-05 0.0001629605 2.3508726e-05 2.0107464e-05 1.6606164e-05 2.0107464e-05 3.871437e-05 1.850687e-05 1.710635e-05 1.850687e-05 5.9922244e-05 4.051504e-05 0.00015825874 0.00075027853 3.1211584e-05 3.761396e-05 2.37088e-05 0.00012954809 4.5917044e-05 0.00018716948 9.7936354e-05 4.291593e-05 1.1704345e-05 2.791036e-05 8.24306e-05 3.041129e-05 6.2023023e-06 4.4116376e-05 8.993338e-05 0.0005160916 2.2108206e-05 5.512046e-05 5.021864e-05 0.00011524278 3.5713256e-05 0.00024259005 0.00014175262 0.00015155626 2.6009655e-05 3.271214e-05 9.0933754e-05 3.2311993e-05 5.902191e-06 6.612454e-05 5.4620275e-05 0.0006506415 2.4008912e-05 5.131905e-05 3.8114147e-05 0.00018446847 6.122272e-05 0.00015685822 8.583186e-05 0.00011764367 2.8110435e-05 4.641723e-05 0.00013344953 7.802896e-05 1.5605792e-05 5.3619904e-05 0.000118544005 0.00050848874 3.061136e-05 5.031868e-05 3.5012996e-05 0.00011494267 5.512046e-05 8.43313e-05 5.0818864e-05 0.00010623944 3.9314593e-05 6.402376e-05 0.00019677303 7.182666e-05 2.440906e-05 3.941463e-05 0.00016736213 0.0016501126 0.00032171942 0.00024639146 0.00028590614 0.00074287574 0.0005587074 0.00030771422 0.00041455388 0.0012839766 0.00012364589 0.00015285674 0.0003127161 0.00053139724 0.00022028177 0.00062353146 0.0016479117 0.0029992133 0.0006624459 0.00044006336 0.000579215 0.0013958181 0.0012856772 0.00050258654 0.00093064544 0.0022489347 0.00021828103 0.00034282726 0.00038284212 0.0010355844 0.00040605073 0.0010646952 0.0023049556 0.05999347 0.06005429 0.060126018 0.06045404 0.06002458 0.05999287 0.06004859 0.059949555 0.06013032 0.060257368 0.0603388 0.06001848 0.060107812 0.060169436 0.060010076 0.060217354 22741.0 5.811398 132157.0 0.01138797 0.009700583 0.010298357 0.01024539 0.009624916 0.010419426 0.009791384 0.0103967255 0.009776251 0.009874619 0.009882186 0.00917091 0.009677883 0.009859486 0.009806518 0.009874619 0.009791384 0.009776251 0.009889753 0.010714529 0.010442126 0.0103891585 0.010056221 0.010623728 0.009481148 0.010555627 0.009518981 0.00968545 0.010358891 0.010025954 0.009617349 0.010593461 0.010752363 0.010767496 0.010048654 0.010343757 0.010601028 0.010147022 0.011229068 0.010737229 0.010003254 0.009927586 0.009594649 0.010464826 0.010094055 0.010411859 0.010025954 0.00996542 0.010298357 0.009798951 0.010517793 0.011100434 0.010419426 0.009783817 0.010601028 0.010759929 0.009163343 0.010275657 0.009844352 0.0098367855 0.009473581 0.010048654 0.00998812 0.01024539 0.009957853 0.01218248 0.010260523 0.01134257 0.0115166055 0.01582209 0.011024766 0.010434559 0.010184856 0.012121946 0.009662749 0.009670316 0.011985744 0.01087343 0.012492717 0.012568384 0.010411859 0.010018387 0.012772687 0.011789009 0.0137639325 0.010820463 0.009889753 0.010563194 0.010737229 0.010275657 0.009314679 0.009587082 0.0098292185 0.009950287 0.009352513 0.01024539 6.578984 1.0 0.0 0.0 73.0 5000080.0 204800.0 0.0 0.0 182.0 0.0 1.0 0.0 0.0 0.0 1154967000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 10.0 4.0 0.0 4.0 0.0 122880.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122880.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1317277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.1870344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.609354 0.0 5.855379 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22982.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -122137.0 0.0 26320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 145776.0 26320.0 176128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 760.0 126976.0 0.0 0.0 0.0 0.0


Input: 0.033626564 0.0071811234 0.005588407 0.0055081756 0.005451775 0.0047455784 0.004241152 0.0050077215 0.0049958057 0.005344535 0.0036588777 0.004373018 0.004597031 0.0033435118 0.0041355006 0.004384139 0.0048067453 0.003751819 0.004488202 0.004112464 0.004114847 0.003324447 0.0039472347 0.003736726 0.0047304854 0.0033959404 0.0032013194 0.0031782824 0.0040576523 0.0036008884 0.0036223365 0.0037168667 0.0055717253 0.0037756502 0.0036056547 0.0033435118 0.0044746976 0.003939291 0.0037780334 0.0038137801 0.004392877 0.0038614424 0.003461079 0.0034491634 0.0040393816 0.0037454641 0.0039130766 0.0038439662 0.00548355 0.004020317 0.0034380422 0.0033760811 0.0037780334 0.0033069707 0.0030678648 0.0032982326 0.0041926955 0.0037406979 0.0038892454 0.0035087413 0.003892423 0.003405473 0.0037557909 0.0035397217 0.0057194787 0.003999663 0.0037788278 0.0034285097 0.0038685917 0.0032569254 0.003429304 0.003401501 0.0047217472 0.0035842066 0.0035754684 0.0036636437 0.0041291458 0.0032315054 0.0036858863 0.0035802347 0.004771793 0.0037287823 0.0037422867 0.0035778517 0.0037510248 0.0034070616 0.0034150053 0.0034436027 0.0043650744 0.0035802347 0.0037160723 0.0034729945 0.003875741 0.0033705204 0.0037200442 0.0036779426 0.0051554744 0.0037907434 0.0034928538 0.0031639838 0.0037677065 0.003514302 0.0035174794 0.003544488 0.004610535 0.003666027 0.003392763 0.0035889728 0.0037486416 0.0033133258 0.0034936483 0.0034165941 0.0043444205 0.0034936483 0.0036215421 0.0035913559 0.004029055 0.0035643473 0.0035031806 0.00351033 0.0040648016 0.0034642564 0.0034030897 0.0033379514 0.0037589686 0.003281551 0.0033991178 0.0035730854 0.0073654177 0.004328533 0.004074334 0.0036922412 0.0042181155 0.0035794403 0.0033975292 0.0036032714 0.004308674 0.0037613516 0.0032180012 0.00332683 0.0036215421 0.0031163215 0.0031782824 0.0032418324 0.0048837992 0.003486499 0.0035150961 0.0033109426 0.003708923 0.0033085595 0.0033323907 0.0033443063 0.0042093773 0.0031631894 0.0031504794 0.0029352047 0.0035333668 0.0032982326 0.0030972566 0.0032148235 0.0047122147 0.003531778 0.0033991178 0.0030758085 0.0037589686 0.0031941698 0.0031187045 0.0032577198 0.0038495269 0.003102817 0.0030543604 0.0030837522 0.0036541114 0.003017025 0.0031059945 0.0032044968 0.004221293 0.0034396308 0.0032164124 0.003213235 0.003627897 0.0033387456 0.0029796895 0.0032346828 0.00412994 0.0034491634 0.0033967348 0.0033975292 0.0036525226 0.003414211 0.003228328 0.0033157088 0.0058434005 0.0038002757 0.0037565853 0.0067394525 0.0038129857 0.0033022047 0.00333954 0.003211646 0.00400999 0.0033554274 0.003094079 0.003296644 0.003749436 0.003200525 0.0032855228 0.0032823451 0.0041895183 0.0035373387 0.0032942607 0.0033387456 0.0035301894 0.003119499 0.0032918777 0.0032291224 0.0038701806 0.003172722 0.003333185 0.0032251505 0.0035071524 0.0032172068 0.0032362717 0.003281551 0.0046812342 0.0034992087 0.0034499578 0.0034070616 0.0039535896 0.0031782824 0.0033975292 0.0035373387 0.00419349 0.0048822104 0.0036350465 0.0036159814 0.0039313473 0.003311737 0.0034952369 0.0034841157 0.0043277387 0.0035079469 0.003529395 0.0035794403 0.0037780334 0.0033188863 0.0035389273 0.0034308927 0.0042220876 0.003491265 0.003463462 0.0031886094 0.0040497086 0.0031210878 0.0037542023 0.015229701 0.0016286644 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013976455 3.538846e-05 1.8290666e-05 3.1809852e-06 8.74771e-06 6.759594e-06 2.6640751e-05 1.9483536e-05 3.021936e-05 7.952463e-06 1.5507303e-05 9.145333e-06 5.566724e-06 9.145333e-06 2.385739e-05 1.1133448e-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 0.0028748156 2.6640751e-05 1.630255e-05 5.169101e-05 1.7097796e-05 7.952463e-06 1.2723941e-05 1.8688288e-05 2.1869275e-05 1.7097796e-05 1.9881158e-05 0.00018091853 0.0010302416 3.4195593e-05 3.5786084e-05 0.0037774201 0.004034682 6.918643e-05 3.896707e-05 4.612429e-05 3.1014606e-05 4.771478e-05 6.0041097e-05 3.7376576e-05 4.0955187e-05 4.652191e-05 0.000121275065 0.00028111957 0.0014537103 0.00010417727 0.000106563006 0.004881222 0.0022557161 8.469373e-05 3.8569447e-05 1.510968e-05 3.26051e-05 3.379797e-05 2.5447882e-05 2.8628869e-05 2.9821738e-05 4.0955187e-05 0.00012047982 0.00012207031 0.0006485234 0.00013081802 0.00017813517 0.0027292855 0.0006779475 2.1869275e-05 1.630255e-05 1.7893042e-05 2.3459766e-05 1.6700173e-05 3.1014606e-05 1.39168105e-05 1.4314434e-05 1.1928695e-05 9.542956e-06 6.799356e-05 0.00014632533 1.2326318e-05 3.2207477e-05 0.000514922 0.00034434165 1.07358255e-05 1.2723941e-05 3.0616982e-05 1.1531072e-05 8.350086e-06 2.505026e-05 1.9483536e-05 9.940579e-06 5.566724e-06 7.952463e-06 1.1133448e-05 0.0001562659 5.566724e-06 7.55484e-06 0.00014751819 0.0014513246 8.3103245e-05 0.00012962516 0.000108551125 0.000112527356 7.833177e-05 0.00024294776 0.00015825401 7.634365e-05 7.356029e-05 7.077692e-05 7.793414e-05 0.00019761872 6.481258e-05 7.1174545e-05 0.00026044316 0.00036064422 3.021936e-05 2.4255014e-05 2.266452e-05 2.8628869e-05 4.2148054e-05 2.902649e-05 2.6640751e-05 5.010052e-05 2.5845506e-05 2.9821738e-05 2.505026e-05 2.8231245e-05 2.6640751e-05 2.9424114e-05 3.499084e-05 0.00020239019 2.3062144e-05 6.600544e-05 6.918643e-05 2.9821738e-05 2.1869275e-05 0.00016541124 9.26462e-05 3.618371e-05 5.566724e-06 8.350086e-06 1.1928695e-05 2.4652636e-05 1.1531072e-05 1.4314434e-05 3.141223e-05 0.0019714157 0.00057058927 0.00069464766 0.0008075727 0.0004290354 0.00048708837 0.0009610552 0.00068430946 0.0005300317 0.00028946967 0.0003359916 0.00032008666 0.00043698787 0.00033161772 0.00034076304 0.0005813251 0.088685475 0.06084748 0.061955255 0.058525756 0.060354427 0.058890775 0.057581004 0.05683546 0.061214883 0.054992873 0.053406358 0.0541861 0.056988943 0.053675152 0.0588367 0.05660643 5519.0 6.1096215 33719.0 0.021530887 0.008689463 0.009460541 0.0076514725 0.01023162 0.010617159 0.009638483 0.010498532 0.011002699 0.00919363 0.007562502 0.009134316 0.010290934 0.0113585815 0.013375249 0.011833091 0.020077702 0.013286278 0.010290934 0.009401227 0.010854415 0.00871912 0.0077997567 0.008392895 0.010468875 0.0101426495 0.01118064 0.008481865 0.0092826 0.0095495125 0.009490198 0.0092826 0.014087013 0.010172307 0.00975711 0.010557846 0.011002699 0.008778433 0.008600492 0.007918384 0.012337258 0.009104659 0.008422551 0.008630149 0.010617159 0.008363238 0.009846081 0.009608826 0.0119813755 0.008956375 0.0092826 0.010646816 0.010468875 0.008511522 0.008037012 0.008452208 0.011299267 0.0101426495 0.009460541 0.008244609 0.010379905 0.0073845605 0.008986032 0.009045346 0.012841425 0.013404905 0.009727454 0.01118064 0.009964708 0.014828435 0.009401227 0.011239953 0.01506569 0.014680151 0.008066669 0.008659806 0.010498532 0.011684807 0.012841425 0.01212966 0.012930395 0.009401227 0.012871082 0.013108336 0.015599513 0.010854415 0.009638483 0.010379905 0.01023162 0.00966814 0.008185296 0.007503188 0.009490198 0.0082742665 0.008037012 0.00975711 6.551593 0.0 28.0 0.0 18.0 1258856.0 2981888.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 1397124600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 287744.0 1024.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 819712.0 0.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 189952.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8411746 0.0 0.0 7.9912763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9811683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.25686502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9819913 0.0 0.0 1.2888021 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 823296.0 0.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 970752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 726928.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 1110125.0 726928.0 380928.0 0.0 0.0 6504.0 1179136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0